A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in meters per second? How many meters will the car travel in 10 seconds?

Answers

Answer 1

Answer:

The answer is 16.5 meters in 10 seconds

Step-by-step explanation:

First you divide 99 by 60 seconds

When you get 1.65 you multiply it by 10 second.

When you multiply 1.65 by 10 second you get 16.5 meters in 10 seconds

Answer 2
The car is traveling at a rate of 27.5 meters per second.

The car will travel 275 meters in 10 seconds.



First, find how many meters per hour it is traveling. There are 1,000 meters in one kilometer, so there are 99,000 meters in 99 kilometers.

Now, find how many meters per minute the car is traveling by dividing 99,000 by 60 to get 1,650 meters per minute.

Finally, divide by 60 again to find the number of meters per second. 1,650 divided by 60 is 27.5, so the car is traveling at a rate of 27.5 meters per second.

To answer the second question, multiply the number of meters per second by the number of seconds to get the number of meters. 27.5 meters per second times 10 seconds is 275 meters in 10 seconds.

Related Questions

SOMEONE PLEASE HELP ME! I have a few of the explanations but I'm not sure if I need more please suggest some thank you
Here are 3 different triangles with different missing side and/or angle measures (not to scale). For each triangle, explain what you can and cannot solve for.
For each thing you cannot find, explain whether or you think there is only one value it can be (but you just don't have a way to find it yet) or whether you think there isn't enough information for there to be just one right answer for the missing information.
For the things you do know how to find, explain which tool or fact about triangles you would use to solve it. (You do not need to find the missing values themselves.)

Answers

Answer:

For tingle #1

We can find angle C using the triangle sum theorem: the three interior angles of any triangle add up to 180 degrees. Since we know the measures of angles A and B, we can find C.

[tex]C=180-(A+B)[/tex]

[tex]C=180-(21.24+27.14)[/tex]

[tex]C=131.62[/tex]

We cannot find any of the sides. Since there is noting to show us size, there is simply just not enough information; we need at least one side to use the rule of sines and find the other ones. Also, since there is nothing showing us size, each side can have more than one value.  

For triangle #2

In this one, we can find everything and there is one one value for each.

- We can find side c

Since we have a right triangle, we can find side c using the Pythagorean theorem

[tex]b^2=a^2+c^2[/tex]

[tex]4^2=2^2+c^2[/tex]

[tex]16=4+c^2[/tex]

[tex]12=c^2[/tex]

[tex]c=\sqrt{12}[/tex]

[tex]c=2\sqrt{3}[/tex]

- We can find angle C using the cosine trig identity

[tex]cos(C)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(C)=\frac{2}{4}[/tex]

[tex]C=arccos(\frac{2}{4} )[/tex]

[tex]C=60[/tex]

- Now we can find angle A using the triangle sum theorem

[tex]A=180-(B+C)[/tex]

[tex]A=180-(90+60)[/tex]

[tex]A=30[/tex]

For triangle #3

Again, we can find everything and there is one one value for each.

- We can find angle A using the triangle sum theorem

[tex]A=180-(B+C)[/tex]

[tex]A=180-(90+34.88)[/tex]

[tex]A=55.12[/tex]

- We can find side a using the tangent trig identity

[tex]tan(C)=\frac{opposite-side}{adjacent-side}[/tex]

[tex]tan(34.88)=\frac{7}{a}[/tex]

[tex]a=\frac{7}{tan(34.88)}[/tex]

[tex]a=10.04[/tex]

- Now we can find side b using the Pythagorean theorem

[tex]b^2=a^2+c^2[/tex]

[tex]b^2=10.04^2+7^2[/tex]

[tex]b^2=149.8[/tex]

[tex]b=\sqrt{149.8}[/tex]




The table shows the mean daily temperature in Idaho during a week in January. Which statement about the data is true?

Math item stem image


The lowest mean temperature was on Tuesday.


The lowest mean temperature was on Thursday.


The highest mean temperature was on Sunday.


The highest mean temperature was on Tuesday.

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

The given table shows the mean daily temperature in Idaho during a week in January.

Sunday = 0.7°F

Monday = -1.2°F

Tuesday = -1.8°F

Wednesday = 1.1°F

Thursday = 0°F

Friday = 0.2°F

Saturday = -0.4°F

Arrange the temperature in ascending order.

-1.8°F, -1.2°F, -0.4°F, 0°F, 0.2°F, 0.7°F, 1.1°F

It means the lowest mean temperature was on Tuesday and the highest mean temperature was on Wednesday.

Therefore the correct option is 1.

Answer:

The lowest mean temperature was on Tuesday.

THIS IS THE EXACT ANSWER ON TTM

Step-by-step explanation:

A modern equation involving positive and negative integers would be -3+4=1. How would Brahmagupta have represented this equation?
A. Three fortunes added to four debts will be one debt.
B. Three debts added to four debts will be one debt.
C. Three fortunes added to four fortunes will be one fortune.
D. Three debts added to 4 fortunes will be one fortune.

Answers

D. Three debts added to four fortunes will be one fortune.

Debts=negative, so -3

Fortunes= positive, so 4

-3+4=1

3debt+4fortune=1fortune

Or, 4fortune-3debt=1fortune

4-3=1

Answer:

D. Three debts added to 4 fortunes will be one fortune.

Step-by-step explanation:

Given : A modern equation involving positive and negative integers would be -3+4=1.

To find : How would Brahmagupta have represented this equation.

Solution : We have given that -3+4=1.

Here, - sing represent by debt and + sign represent by fortune .

In given statement  3  is with debt and 4 is with fortune and 1 with fortune.

Then we can see,  Three debts added to 4 fortune will be one fortune.

Therefore, D. Three debts added to 4 fortunes will be one fortune.

paul’s account balance is less than -$50. What is a possible balance for paul’s account? Explain.

Answers

Answer:

Step-by-step explanation:

-50 plus so above the number so like -51.5

If paul's account balance is less than - $50 the possible balance for Paul's account should be in the range of - $50.9 to - $50.1.

What is the range?

Range defines possible values in between two values that are some distance apart on the number line. The range can also be defined as the possible values from the least value to the greatest value.

Given that Paul's account balance is less than - $50.

∴ The possible balance for Paul's account can be in the range of

- $50.9 to - $50.1 because if he had an amount which is less than - $51 then the given statement should have been mentioned.

learn more about range here :

https://brainly.com/question/12777994

#SPJ2

If sinx=1/9, x in quadrant 1, then find (without finding x):
Sin(2x)=
Cos(2x)=
Tan(2x)=?

Answers

Answer:

Part 1) [tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

Part 2) [tex]cos(2x)=\frac{79}{81}[/tex]

Part 3) [tex]tan(2x)=8\frac{\sqrt{5}}{79}[/tex]

Step-by-step explanation:

Part 1) Find sin(2x)

we know that

[tex]sin(2x)=2sin(x)cos(x)[/tex]

we have

[tex]sin(x)=\frac{1}{9}[/tex]

Find cos(x)

Remember that

[tex]sin^{2}(x)+cos^{2}(x)=1[/tex]

substitute

[tex](\frac{1}{9})^{2}+cos^{2}(x)=1[/tex]

[tex]cos^{2}(x)=1-(\frac{1}{9})^{2}[/tex]

[tex]cos^{2}(x)=1-(\frac{1}{81})[/tex]

[tex]cos^{2}(x)=\frac{80}{81}[/tex]

[tex]cos(x)=\frac{\sqrt{80}}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex] -----> is positive because angle x belong to the I quadrant

Find sin(2x)

we have

[tex]sin(x)=\frac{1}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex]

so

[tex]sin(2x)=2sin(x)cos(x)[/tex]

[tex]sin(2x)=2(\frac{1}{9})(4\frac{\sqrt{5}}{9})[/tex]

[tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

Part 2) Find cos(2x)

we know that

[tex]cos(2x)=cos^{2}(x)-sin^{2}(x)[/tex]

we have

[tex]sin(x)=\frac{1}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex]

so

[tex]cos(2x)=(4\frac{\sqrt{5}}{9})^{2}-(\frac{1}{9})^{2}[/tex]

[tex]cos(2x)=\frac{80}{81}-\frac{1}{81}[/tex]

[tex]cos(2x)=\frac{79}{81}[/tex]

Part 3) Find tan(2x)

we know that

[tex]tan(2x)=\frac{sin(2x)}{cos(2x)}[/tex]

we have

[tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

[tex]cos(2x)=\frac{79}{81}[/tex]

so

[tex]tan(2x)=\frac{8\frac{\sqrt{5}}{81}}{\frac{79}{81}}[/tex]

[tex]tan(2x)=8\frac{\sqrt{5}}{79}[/tex]

Final answer:

Using trigonometric identity functions, when Sinx equals 1/9, Sin(2x) equals 2√80/729, Cos(2x) equals 79/81, and Tan(2x) equals 162√80/56831.

Explanation:

The question asks for the values of Sin(2x), Cos(2x), and Tan(2x) when Sinx = 1/9 (x in Quadrant 1). To solve for these values, we can use the identity formulas. If given that sinx = 1/9, it follows that cosx = √(1 - sin²x) = √(1 - (1/81)) = √(80/81) because in quadrant 1, the cosine value is positive. Therefore:

Sin(2x) = 2sinxcosx = 2 * 1/9 * √80/81 = 2√80/729,Cos(2x) = cos²x - sin²x = (80/81 - 1/81) = 79/81,Tan(2x) = sin(2x)/cos(2x)= (2√80/729) / (79/81) = 162√80/56831

Learn more about Trigonometry here:

https://brainly.com/question/11016599

#SPJ3

In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines. The measure of angle ABC is 118°

Answers

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

A map is drawn with a scale of 1 inch= 15 miles. Nichol measured the distance to the next town as 3 inches. How many miles does she have to travel fo get to the next town? SHOW YOUR WORK!!!! ​

Answers

Answer:

45 miles

Step-by-step explanation:

if 1 in = 15 mi     so put x=15

3 is 3 times 1 so x=3 and 3*15=45

Your answer is 45 miles.

How many solutions does the system of linear equations have ? Y=3/4x+12

Answers

Answer:

1 solution

Step-by-step explanation:

Set it equal to 0

0=3/4x+12

Subtract 12

-12=3/4x

Multiply by 4

-48=3x

Divide by 3

X = -16

The equation has an infinite number of solutions

Given equation is,

[tex]y=\frac{3}{4}x+12[/tex]

We can write the given equation as,

[tex]3x-4y+12=0[/tex]

[tex]For x=1\\y=\frac{51}{4}\\For x=2\\y=\frac{27}{2}\\For x=3\\y=\frac{57}{4}[/tex]

In the above given equation for the different values of x gives the different solution of y.

Hence, the given equation has an infinite number of solutions.

Learn More:https://brainly.com/question/21359498

What quadrant does the point (-10,9) lie?

Answers

Answer:

Quadrant II

Step-by-step explanation:

Quadrant II points are characterized by a negative X value but a positive Y value (-x,y).

Since -10 is negative and 9 is positive, this point lies on quadrant II.

Answer:

quadrant III

Step-by-step explanation:

Mr. Gray's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 5 are purple, 2 are yellow, 4 are green, and the rest are black, what is the probability of drawing a green and black if the marbles are not replaced after they are picked?

Answers

Final answer:

The probability of drawing a green followed by a black marble from a bag containing 25 marbles without replacement is found by multiplying the individual probabilities of each event. These are 4/25 for the green marble and 7/12 for the black marble after the first draw.

Explanation:

The subject of this question is probability within the field of Mathematics, suitable for a High School level student. The probability of drawing a green and black marble without replacement is a two-step probability problem. Given that there are 5 purple, 2 yellow, 4 green, and the rest black out of 25 marbles, we first need to calculate the total number of black marbles, which is 25 - (5 + 2 + 4) = 14. The probability of drawing a green marble first is 4 out of 25, which simplifies to 4/25. After a green marble is drawn, there are now 24 marbles left in the bag, with 14 being black. Therefore, the probability of then drawing a black marble is 14/24 or 7/12. To find the combined probability of both events occurring sequentially, we multiply the individual probabilities: (4/25) * (7/12). This calculation will give us the final probability of drawing a green and then a black marble without replacement.

A number from 1 to 100, inclusive, is selected at random. What is the probability that the
number selected—
a. is a prime number?
b. contains the digit 9?
c. is both prime and contains the digit 9?

Answers

Answer:i might be wrong but i believe its b

Step-by-step explanation:

Answer:

A : 1/4

B : 19/100

C : 3/50

Step-by-step explanation:

There are 25 prime numbers from 1 to 100.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

25/100 = 1/4

There are 19 numbers that contain 9.

9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, and 99.

19/100

There are 6 numbers that are prime and contain 9.

19, 29, 59, 79, 89, 97.

6/100 = 3/50

What is the slope line y=5x+4

Answers

Answer:

The slope is 5

Step-by-step explanation:

This equation is in slope intercept form

y = mx +b

where m is the slope and b is the y intercept

y = 5x+4

where 5 is the slope and 4 is the y intercept

Answer:

The slope = 5

Step-by-step explanation:

The slope-intercept form of the equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation y = 5x + 4

Therefore the slope is m = 5

What is the solution to the equation 5=2/5a
A.2
B.4 3/5
C.12 1/2
D.25

Answers

Answer:

C.12 1/2

Step-by-step explanation:

5=2/5a

Multiply each side by 5/2 to isolate a

5/2 * 5 = 5/2 * 2/5 a

25/2 = a

12 1/2 = a

Answer:

x=32

Step-by-step explanation:

(32-5)^(2/3)=9

Kalvin and 4 of his friends want
to share 4 pounds of nuts equally.
Write an expression to show
what fraction of the nuts each
friend should receive. Then write
2 equivalent fractions for this
amount.

Answers

one friend shoud receive 1/4 nuts

1/4 is equivalent to 2/8
Each friend should receive 1/4 of the nuts.
1/4 is equivalent to 2/8
1/4 is equivalent to 4/16

A wire of length 7x is bent into the shape of a square. Express the area A of the square as a function of z.

Answers

Final answer:

The length of the wire is bent into a square, making each side equal to 7x/4. The area of a square is found by squaring the length of one side, so the area, as a function of , is (7x/4)^2 or 49x^2/16.

Explanation:

The given information is that the length of the wire is 7x, and it is bent into a square. In a square, all sides are equal. Therefore, we can say that the length of each side of the square is 7x/4.

To find the area of a square, we simply square the length of one side. Thus, the area A of the square, expressed as a function of x, is (7x/4)^2 or 49x^2/16.

Therefore, the question's answer is that the area A of the square can be expressed as the function 49x^2/16.

Learn more about the Area Function of a Square here:

https://brainly.com/question/34342199

#SPJ2

Final answer:

To express the area A of a square in terms of z, assuming the wire length is 7z, calculate the side length a as 7z/4 and then square it to get A = (7z/4)². If x is correct and unrelated to z, more information is needed.

Explanation:

To express the area A of a square as a function of z, given that a wire of length 7x is bent into the shape of a square, we follow these steps:

The perimeter of the square is equal to the length of the wire, which is 7x.

Since the perimeter P of a square is 4 times one of its sides a, we can write P = 4a. Therefore, 7x = 4a.

To find the side length a, we divide 7x by 4: a = 7x/4.

The area A of a square is the square of one of its sides, so A = a². By substituting a with 7x/4, we get A = (7x/4)².

Finally, we need to write the equation in terms of z. Here, it seems there might be an issue with the question, as there is no direct relationship provided between x and z. Assuming there's a typographical error and that the wire length is actually 7z, we can write a = 7z/4 and A = (7z/4)².

If x is indeed correct and unrelated to z, more information is required to express A as a function of z.

Zev is planting a garden. The garden is 10 1/3 yards long and 8 yards wide. What is the area of the garden?

Answers

Answer: 82 2/3 yards squared

Step-by-step explanation: The formula for area is l × w = A. Because of this, you need to multiply the two numbers.

1. Make 10 1/3 into an improper fraction.

10 1/3 = 31/3

2. Multiply!

31/3 × 8/1 = 248/3

3. Simplify

3 goes into 248 82 times with 2 left over (82 2/3)

M angle r = 120 m angle s =110 find m angle t

Answers

For this equation I used the fact that S and U are congruent (because Line ur and rs are equal and lines UT and TS are equal. All the interior angles need to add to 360 degrees. U+R+S = 340 so T has to equal 20 degrees.

Two ramps are placed back to back as shown. What is the length of the ramp labeled x?

Answers

Answer:

16.6 ft

Step-by-step explanation:

Use Law Of Sines to solve this:

(Sin 7)/9 = (Sin 13)/x

Cross multiply...

x(Sin 7) = 9(Sin 13)

Divide both side by Sin 7

x = [9(Sin 13)]/(Sin 7)

 x = 16.61254121

Answer:

16.6 ft

Step-by-step explanation:

what is the sum of the sequence 152,138,124, ... if there are 24 terms?

Answers

Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

[tex]Sn=\frac{(a_1+a_n)n}{2}[/tex]

Where:

[tex]a_1=152\\a_n=a_{24}[/tex]

You should find  [tex]a_{24}[/tex]

The formula to find it is:

[tex]a_n=a_1+(n-1)d[/tex]

Where d is the difference between two consecutive terms.

[tex]d=138-152=-14[/tex]

Then:

[tex]a_{24}=152+(24-1)(14)=-170[/tex]

Substitute it into the first formula. Therefore, you obtain:

[tex]S_{24}=\frac{(152-170)(24)}{2}=-216[/tex]

Answer:

Sn = -216

Step-by-step explanation:

We are given the following sequence and we are to find the sum of the given sequence if there are 24 terms in it:

[tex] 152, 138, 124, ... [/tex]

We know that the formula of sum for an arithmetic sequence is given by:

[tex]S_n =\frac{n(a_1+a_n)}{2}[/tex]

where [tex]a_1[/tex] is the first term (124)and [tex]a_n[/tex] is the last term [tex]a_{24}[/tex].

To find [tex]a_1[/tex], we will use the following formual:

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_24=152+(24-1)(-14)[/tex]

[tex]a_{24}=170[/tex]

Substituting the given values in the above formula to get the sum:

[tex]S_n =\frac{24(152-170)}{2}[/tex]

[tex]S_n=-216[/tex]

Find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9).

Answers

Answer:

[tex]\dfrac{y^2}{36}-\dfrac{x^2}{45}=1.[/tex]

Step-by-step explanation:

Since vertices and foci lie on the y-axis, the equation of the hyperbola is

[tex]\dfrac{y^2}{b^2}-\dfrac{x^2}{a^2}=1.[/tex]

If the vertices are at points (0,±6), then [tex]b=6.[/tex]

If the foci are at points (0,±9), then [tex]c=9.[/tex]

Note that

[tex]c^2=b^2+a^2,[/tex]

then

[tex]9^2=6^2+a^2,\\ \\a^2=81-36,\\ \\a^2=45.[/tex]

The equation of the hyperbola is

[tex]\dfrac{y^2}{36}-\dfrac{x^2}{45}=1.[/tex]

A radioactive substance has a decay rate of 0.073 per minute. How many grams of a 120 gram sample will remain radioactive after 30 minutes? Round the answer to the nearest tenth of a gram, and do not include the unit in your answer.

Answers

Answer:

13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.

Step-by-step explanation:

Given : A radioactive substance has a decay rate of 0.073 per minute.

To find : How many grams of a 120 gram sample will remain radioactive after 30 minutes?          

Solution :

Using decaying formula,  

[tex]y(t)=y_o e^{-rt}[/tex]

Where, [tex]y_o=120[/tex] is the initial amount

r=0.073 is the decay rate

t=30 minute is the time

Substitute the value in the formula,

[tex]y(30)=120\times e^{-0.073\times 30}[/tex]

[tex]y(30)=120\times e^{-2.19}[/tex]

[tex]y(30)=120\times 0.1119[/tex]

[tex]y(30)=13.428[/tex]

[tex]y(30)=13.4[/tex]

Therefore, 13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.

Answer:

13.4

Step-by-step explanation:

Substitute the given values into the formula: A(t)=Pert. Where P is the initial mass, r is the rate of decay, and t is time.  Note, the rate is negative because we are finding the rate of decay.  

A=120e−(0.073)(30)≈13.4

So, about 13.4 grams will remain after 30 minutes.

Javier has 30 year mortgage on his 120,000 home hid bank required a 20% down payment and initially offers him a rate of 5.75% but he chose to buy 2 points and lower his rate.His current mortgage is 55.698 Taken all this into consideration ,what is the total financed price he paid for his home ? ​

Answers

Answer:226,432.80

Step-by-step explanation:

Final answer:

Javier's total financed price for his home, excluding the longer-term interest but including the cost of buying points, is $97,920. This total includes the initial mortgage of $96,000 after a 20% down payment on a $120,000 home and the $1,920 spent on purchasing two points to reduce the interest rate.

Explanation:

Javier's home cost $120,000, and he was required to make a 20% down payment. Twenty percent of $120,000 is $24,000, which is the down payment amount. Therefore, the initial loan amount is $120,000 - $24,000 = $96,000.

Buying points typically costs 1% of the loan amount per point to lower the interest rate by a certain percentage. It is not specified how much the rate was lowered by purchasing 2 points, but we can calculate the cost. Two points on a $96,000 loan is 2% of $96,000, which equals $1,920.

Thus, the total financed price of the home, not counting interest payments over the term of the mortgage but including the cost of the points, is the initial loan amount plus the cost of the points: $96,000 initial loan + $1,920 for points = $97,920.

What is the length of segment LM

Answers

Answer:

LM = 23 units

Step-by-step explanation:

triangle KLN and triangle MLN are congruent.

The segment LM is equal to segment LK.

Also, MN is same as KN, thus we can write:

[tex]MN=KN\\25=14x-3\\25+3=14x\\28=14x\\x=2[/tex]

Since, x = 2, we can get the side length LM:

[tex]LM=LK=9x+5\\LM=LK=9(2)+5\\LM=23[/tex]

Hence, LM = 23 units

Answer:

LM = 23 units

Step-by-step explanation:

From figure we can see an isosceles triangle KNM

KN = NM

NL is the perpendicular from N to KM,

Therefore KL = LM

To find the value of x

From figure we can write,

14x - 3 = 25

14x = 25 + 3 = 28

x = 28/14 = 2

To find LM

LM = KL

we have KL = 9x + 5

Therefore LM = 9x + 5 = (9 * 2) + 5  = 23 units

If a rectangular prism with a length of 12 feet and a width of 9 feet has a surface area of 930 square feet find its height

Answers

Answer:

The height is 17 ft

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(LW +WH + LH)

where L = length, W = width, and H = height

We know SA = 930, L = 12, and W = 9

930 = 2(12*9 +9H + 12H)

Divide each side by 2

930/2 = 2/2(12*9 +9H + 12H)

465 = (12*9 +9H + 12H)

Combine like terms

465 = 84+21H

Subtract 84 from each side

465-84 = 84-84+21H

357 = 21H

Divide by 21

357/21=21H/21

17 = H

The height is 17 ft

Answer:

Height is 17 ft.

Step-by-step explanation:

Given: Rectangular Prism is also called cuboid

          Length, L = 12 ft.    and   width, W = 9 ft.

          Surface Area of cuboid, SA = 930 ft.²

To find: height , H

The surface area of a rectangular prism or cuboid

SA = 2(LW +WH + LH)

930 = 2(12×9 +9H + 12H)

[tex]\frac{930}{2}=108 +9H + 12H[/tex]

465 = 108 + 9H + 12H

108 + 9H + 12H  = 465

21H + 108 =  465

21H = 465 - 108

21H = 357

[tex]H=\farc{357}{21}[/tex]

H = 17  

therefore, Height is 17 ft.

What is Z^6y^3/z^6y^4

Answers

Answer:

The correct answer is

Z⁶Y³/Z⁶Y⁴ = 1/Y

Step-by-step explanation:

Points to remember

1).  xᵃ * xᵇ = xᵃ⁺ᵇ

2).  xᵃ/xᵇ = xᵃ⁻ᵇ

3).  x° = 1

4). x⁻ᵃ = 1/xᵃ

The given expression is Z⁶Y³/Z⁶Y⁴

To find the simplification of expression

Z⁶Y³/Z⁶Y⁴ =  Z⁶⁻⁶ * Y³⁻⁴

 =  Z° * Y⁻¹ = 1 * 1/Y = 1/Y

Therefore the value of given expression  Z⁶Y³/Z⁶Y⁴ is 1/Y

Which of the following is the equation of a line that passes through the points (1,6) and (2,1)
A. Y=-5x+11
B. Y=-5x+1
C. Y=2x+1
D. Y=5x-1

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (2, 1)

m = [tex]\frac{1-6}{2-1}[/tex] = - 5, hence

y = - 5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 6), then

6 = - 5 + c ⇒ c = 6 + 5 = 11

y = - 5x + 11 → A

Answer:

[tex]y=-5x+11[/tex]

Step-by-step explanation:

Given :  Points (1,6) and (2,1)

To Find : Which of the following is the equation of a line that passes through the points (1,6) and (2,1) ?

Solution:

[tex](x_1,y_1)=(1,6)\\(x_2,y_2)=(2,1)[/tex]

Now to find the equation of a line that passes through the points (1,6) and (2,1) we will use two point slope form

Two point slope form : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute the values

[tex]y-6=\frac{1-6}{2-1}(x-1)[/tex]

[tex]y-6=-5(x-1)[/tex]

[tex]y-6=-5x+5[/tex]

[tex]y=-5x+11[/tex]

So, Option A is true.

Hence The equation of a line that passes through the points (1,6) and (2,1) is[tex]y=-5x+11[/tex]

What is the value of x? Enter your answer as a decimal.

Answers

Answer:

x = 67.5 ft

Step-by-step explanation:

ΔNPM and ΔABM are similar. Therefore the sides are in proportion:

[tex]\dfrac{AM}{NM}=\dfrac{BM}{PM}[/tex]

We have

[tex]AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft[/tex]

Substitute:

[tex]\dfrac{49.5}{71.5}=\dfrac{x}{97.5}[/tex]       cross multiply

[tex]71.5x=(49.5)(97.5)[/tex]

[tex]71.5x=4826.25[/tex]           divide both sides by 71.5

[tex]x=67.5[/tex]

Which of the following xpressions is equivalent to -1/4 - 5/3? -1/4 + (-5/3) or - 1/4 + 5/3?

Answers

-1/4 + (-5/3)

When there is no number between a grouping symbol and a + or - sign, by default you can multiply the contents in the group by 1 to get rid of the grouping symbols.

determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer. “How tall is sam?”

Answers

Answer:

No

Step-by-step explanation:

Here we are taking only one measurement:  the height of one person.  Strictly speaking, this is NOT a statistical question.

"List the heights of a sample of 50 first-graders" would definitely be a stat. question.

Final answer:

The question 'How tall is Sam?' is not a statistical question. Statistical questions expect a variety of responses, not a singular answer. Height is typically measured in feet or centimeters.

Explanation:

The question 'How tall is Sam?' is not considered a statistical question. A statistical question is one in which the answer varies and requires data collection for multiple items or individuals to answer. It is one for which you don't expect to get a single answer. Instead, you expect to get a variety of different answers, and you're interested in the distribution and tendency of those answers. For instance, 'How tall are the students in a class?' is a statistical question because it would result in a variety of answers and we could analyze that data set.

The unit for height in this context typically is measured in feet or centimeters.

Learn more about Statistical Question here:

https://brainly.com/question/14877725

#SPJ2

how many solutions does 9x+3=9x+5 have?​

Answers

There is No Absolute Solution

9x+3 = 9x+5 has zero solutions.

How to find the solution to an equation?

The solution of an equation can be found by finding the value of the variable in the equation.

We can find the solution of the given equation as follows:

9x+3 = 9x+5

⇒ 3 = 9x - 9x + 5

⇒ 3 = 5

But 3 ≠ 5

The variables canceled each other out and we found that the given equation doesn't have a solution. Thus the equation has no solution.

Therefore, we have determined that the given equation 9x+3=9x+5 has zero equations.

Learn more about the solution to an equation here: https://brainly.com/question/847634

#SPJ2

Other Questions
the opium wars had what impact on china Bill is a fisherman on the Gulf Coast, and he has noticed that over the past several years, the shrimp population has grown smaller. He wants to come up with a way to keep fishing for shrimp, but at the same time, he doesn't want the shrimp numbers to drop any further. How could Bill accomplish this? A)Keep fishing for shrimp, but at a different location. B)Stop fishing for shrimp to let the population rebound. C)Keep fishing for shrimp, but start fishing for other fish as well. D)Keep fishing for shrimp, but at a rate that lets the shrimp population start to grow again. At the beginning of year 1, Mike invests $800 at an annual compound interest rate of 3%. He makes no deposits to or withdrawals from the account. Which example explicit formula can be used to find the account's balance at the beginning of year 7. SHOW ALL WORKFind the slope through the points (12, -18), (11,12) Choose the correct conic section to fit the equation.xy = -16CircleEllipseParabolaHyperbola Between what two consecutive integers does .... lies? Please help find missing angle A circus had 40 lions. If the ratio of lions to monkeys was 4:9, how many lions and monkeys are there? Need so much help with number 3 Ponds are ______.A.B.C.D. PLEASE HELP ASAPEvaluate the expression. 8(12 + 4)0 4(8 + 3)0A)0B)1C)2D)4 (4 pts) In a carnival game, a player spins a wheel that stops with the pointer on one (and only one) of three colors. The likelihood of the pointer landing on each color is as follows: 63 percent BLUE, 22 percent RED, and 15 percent GREEN. Note: Your answers should be rounded to three decimal places. (a) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on BLUE. What is the probability that we will spin the wheel exactly three times? (b) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on RED. What is the probability that we will spin the wheel at least three times? (c) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on GREEN. What is the probability that we will spin the wheel 2 or fewer times? What privilege does the U.S. president have that can override the decisions of the judicial branch? How do you simplify 2(3y - 4) without parenthesis In a test of the effect of dampness on electric connections, 103 electric connections were tested under damp conditions and 151 were tested under dry conditions. Twenty of the damp connections failed and only 10 of the dry ones failed. Let pX represent the population proportion of damp connections that fail and let pY represent the population proportion of dry connections that fail. Find a 90% confidence interval for the difference pXpYpXpY. Round the answers to four decimal places. The only way women could serve in the Army during World War I was as 1) Before the late 1800's, the United States did not seriously involve itself in overseas expansion largely because itA)did not have a navy and could not compete with Europeans.B)was recovering from its defeat in the Spanish-American war.C)believed imperialism was immoral and against Christian values.EliminateD)was primarily concerned with westward expansion and internal problems.2 ) The United States Senate rejected the Treaty of Versailles mainly because the treatyA)returned Alsace-Lorraine to France.B)required the payment of German reparations.C)divided Germany into four occupation zones.D)included the Covenant of the League of Nations.3 ) Which of these BEST describes the immediate effect of the Plessy v. Ferguson decision?A)States passed segregationist legislation and expanded Jim Crow.B)Southern blacks became fearful and moved to cities in the north.C)States tried to keep segregation and Jim Crow from becoming the law.D)Southerners protested peacefully and had sit-ins calling for their rights.If you can help that'd be great :)) Maybe even stick around if I need more help ?? look at the figure, PQRS. Find the values of x and y Gregor Mendel demonstrated that traits are passed from parents to offspring independently of one another under all circumstances that he tested. All other genetics researchers have observed this as well. Based on this information, the statement traits are passed from parents to offspring independently of one another is a law.a hypothesis.a theory.an observation. can someone find the volume of this pyramid? Steam Workshop Downloader