Mathematics High School

An airplane flies at a constant speed. It can travel a distance (
d. of 1,800 kilometer in 2 hours(t) Write an equation in the form is d=rt that represents the relationship between distance (
d. and time (t), where r is the constant of proportionality

Answers

Answer 1
I will be right back to help

Related Questions

Tia cuts a 4-meter 8-centimeter wire into 10 equal pieces.Marta cut a 540-centimeter wire into 9equal pieces. How much longer is one of Marta's wires than one of Tia's

Answers

 Tia's wire is 4 meter and 8 centimeter long which is  that is  408 centimeter long and it is divided in 10 pieces.
tia = 408/10 = 40.8 cm
 Tia's wire pieces are 40.8 cm long

 Marta's wire, it is 540 centimeter long and is divided into 9 pieces
marta = 540/9 = 60 cm
 Marta's wires are longer than Tia's
Marta's wire is 19.2 cm longer than tias  

60cm - 40.8cm= 19.2 cm 

An equilateral triangle has a perimeter of 102 in. What is the length of each side of the triangle?

Answers

I think its 34.Since its equilateral, all sides have the same length. So if you divide 102 by 3 you should have your answer.

3 different problems, sorry these type confuse me

f(x) = 5x - 1 and g(x) = 6x, find f(g(x))

f(x) = 5x - 1 and g(x) = 6x, find g(f(x))

f(x) = 5x - 1 and g(x) = 6x, find g(f(2))

Answers

f [g(x)]
= 5(6x) - 1
= 30x - 1

g [f(x)]
= 6(5x - 1)
= 30x - 6

g [f (2)]
= 6 [5(2) - 1]
= 6 (10 - 1)
= 60 - 6
=54

HOW CAN I SOLVE IT u=2x-2 for x

Answers

u = 2x - 2

We simply need to isolate x :) That just means that we need to get x onto it's own side of the equal sign.

So, add 2 to both sides.

2 + u = 2x

Then, divide both sides by 2.

2 + u ÷ 2 = 2x ÷ 2

Simplify.

1 + u/2 = x 

So, x = 1/2u + 1

~Hope I helped!~ :)
First, you have to isolate 2x in the first step to solving for x, so you would add 2 to both sides. This would look like this: u+2=2x.
Then, divide both sides by 2 to fully isolate x. This would give you an answer of u+2/2 = x. 

Which is correct regarding the statement: “If x is an odd integer, then the median of x, x + 2, x + 6, and x + 10 is an odd number”

Answers

any odd number can be represened as 2n+1 where n is a whole number

the median is the  number in the middle when the numbers are arranged in increasing order
if there are an even number of numbers in the set, take the average of the middle 2


we have x,x+2,x+6,x+10
there are 4 numbers, so the median will be the avergage between x+2 and x+6 which is [tex]\frac{x+2+x+6}{2}=\frac{2x+8}{2}=x+4[/tex]
now, if x is odd, then replace x with 2n+1

(2n+1)+4=
2n+1+4=
2n+5=
2n+2(1)+1
even+even+odd=odd
the statement is true
x is odd
x+2 is also odd (eg: x = 3, so x+2 = 3+2 = 5)
x+6 is also odd for similar reasons above
x+10 is also odd

We have four values. The median is found in the middle, so exactly halfway between x+2 and x+6

Add up x+2 and x+6 to get
(x+2)+(x+6) = 2x+8

Then divide that result by 2. In other words, divide everything by 2
2x/2+8/2 = x+4

The result x+4 is odd since adding any even number to an odd number is going to result in an odd value

So the claim is true

--------------------------------------------------------------------------------

Alternative method:
x is odd so x = 2k+1 where k is any integer
x+2 = 2k+1+2 = 2k+3
x+6 = 2k+1+6 = 2k+7
x+10 = 2k+1+10 = 2k+11

Add up the two middle terms
(x+2)+(x+6) = (2k+3)+(2k+7) = 4k+10

Divide that result in half
4k+10 ---> 4k/2 + 10/2 = 2k+5 = 2k+4+1 = 2(k+2)+1

The expression 2(k+2)+1 fits the form 2m+1 where m = k+2 is an integer

So 2(k+2)+1 is odd making the median to be odd. 

This further helps support why the claim is true

The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method. x2 + (y − 4)2 = 16;    about the y-axis

Answers

[tex]\bf x^2+(y-4)^2=16\implies x^2=16-(y-4)^2 \\\\\\ x=\sqrt{16-(y-4)^2}\implies x=\sqrt{16-(y^2-8y+16)} \\\\\\ x=\sqrt{8y-y^2}\\\\ -------------------------------\\\\ 0=\sqrt{8y-y^2}\implies 0=8y-y^2\implies 0=y(8-y) \implies y= \begin{cases} 0\\ 8 \end{cases}\\\\ -------------------------------\\\\ \displaystyle \stackrel{\textit{disk method}}{\int\limits_{0}^8~\pi (\sqrt{8y-y^2})^2\cdot dy}\implies \pi \int\limits_{0}^8~ 8y-y^2\cdot dy[/tex]

[tex]\bf \displaystyle \pi \int\limits_{0}^8~8y\cdot dy - \pi \int\limits_{0}^8~y^2\cdot dy\implies \pi \left[ 4y^2~-~\cfrac{y^3}{3} \right]_{0}^8 \\\\\\ \pi \left[ \left[ 256-\cfrac{51}{3} \right]~-~[0] \right]\implies \pi \cdot \cfrac{256}{3}\implies \cfrac{256\pi }{3}\implies 85\frac{\pi }{3}[/tex]

What is the simplified form of the following expression square root 1/121
A 2/121
B 1/242
C 11
D 1/11

Answers

When you multiply a fraction, you do the top and the bottom separately, right?

Since a square root is like the opposite of multiplying, you can think of the top and the bottom separately for this too!

First, let's start with the top. The square root of 1 is 1, so the numerator is 1.

Now, let's do the bottom. The square root of 121 is 11, so the denominator is 11.

So, the answer is D, 1/11. You can check your answer by squaring it, and getting 1/121.

Hope this helps!

A person standing on top of a 11 11-foot high sand pile wishes to estimate the width of the pile. he visually locates two rocks on the ground below at the base of the sand pile. the rocks are on opposite sides of the sand pile, and he and the two rocks are in the same vertical plane. if the angles of depression from the top of the sand pile to each of the rocks are 28 ∘ 28∘ and 19 ∘ 19∘, how far apart are the rocks rounded to the nearest foot?

Answers

Refer to the diagram shown below.

The distance between the two rocks is (a + b).
By definition,
tan(28°) = 11/a
a = 11/tan(28°) = 20.688 ft
Similarly,
b = 11/tan(19°) = 31.9463 ft

The distance between the rocks is
20.688 + 31.9463 = 52.6343 ft

Answer: 53 ft (nearest foot)
Final answer:

The problem involves trigonometry to determine the width of the sandpile. The angles of depression equate to angles of elevation from ground up. Using the tangent function and the provided angles of depression, the distances to the rocks are calculated and added together to get approximately 52 feet as the pile's width.

Explanation:

This problem involves the application of trigonometry, specifically the tangent function (tan) in relation to angle of depression. To start with, we need to note that the angle of depression is equivalent to the angle of elevation as observed from the ground upwards. Hence, if the angles of depression are 28° and 19° respectively, it would mean that the angles of elevation at the rocks would be 28° and 19° respectively.

We can use the formula for tangent, which is tan(θ)=Opposite/Adjacent. In this context, 'Opposite' is the height of the pile (11 feet), and 'Adjacent' is the distance from the base of the pile to the rock. We get two equations:

tan(28°)= 11/D1, with D1 being the distance from the rock to the pile on one side;and tan(19°)= 11/D2, with D2 being the distance from the rock to the pile on the other side.

We rearrange to find D1 and D2. Finally, the total distance (width of the pile) is simply D1 + D2. Using a calculator, D1 is approximately 21 feet and D2 is approximately 31 feet. Hence, the width of the sandpile is approximately 52 feet when rounded to the nearest foot.

Learn more about Trigonometry here:

https://brainly.com/question/11016599

#SPJ3

Find an equation of the line l that contains the points left parenthesis 0 comma 0 right parenthesis(0,0) and left parenthesis 3 comma 2 right parenthesis .

Answers

10 out of 10 need ponits please

The ages of the members of a family are 46, 48, 21, 12, 15, and 8. what is the mean age?

Answers

mean means to average. in order to average, add all the numbers then divide by how many numbers you have.

All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21

46 + 48 + 21 + 12 + 15 + 8 = 150
150 ÷ 7= 21.4285 = 21

The mean age of the family members (46, 48, 21, 12, 15, and 8) is calculated by adding all the ages to get a sum of 150, and then dividing by the number of family members, which is 6, resulting in a mean age of 25 years old.

To calculate the mean age of the family members, you add up all of the ages and then divide by the number of family members. The ages given are 46, 48, 21, 12, 15, and 8. Let's find their sum:

Add the ages together: 46 + 48 + 21 + 12 + 15 + 8 = 150.

Count the number of family members, which is 6.

Divide the total sum of ages by the number of family members: 150 \/ 6 = 25.

Therefore, the mean age of the family members is 25 years old.

A study of several cities shows a positive correlation between the percent of people late to work and the amount of pollution on the roadways. Which statement is most likely true?
A. Pollution makes people late to work.
B. People who tend to be late make more pollution than those who tend to be on time
C.The correlation is due to a third variable: traffic.
D. The correlation is due to a third variable: cost of windshield wiper fluid.

Answers

In this instance, option C is the most likely cause of the correlation. Pollution rises as the number of vehicles in an area increases. In periods of high traffic, vehicles run longer. High traffic also causes time delays that increase tardiness of employees.

Answer:Its C

Step-by-step explanation:

Please Help Me Anyone !!!
Addison earned a gross income of $42,750 last year. She made $537.56 in IRA contributions, donated $918 to her favorite charity and paid $1,351.35 in home mortgage interest. If Addison claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
$30,593.09
$36,293.09
$31,511.09
$32,862.44

Answers

subtract all the other numbers from 42,750, you get 30,593.09
so A is the answer

Answer:

The answer is: $ 30,593.09.

Step-by-step explanation:

To the gross income of $ 42,750 of Addison, the amounts of the payments made must be deducted, that is, $ 537.56, $ 918, $ 1,351.35, plus the exemption of $ 3,650, and also if they grant him the standard deduction of $ 5,700; Your taxable income would be: $ 42,750 - ($ 537.56 + $ 918 + $ 1,351.35 + $ 3,650 + $ 5,700) = $ 30,593.09

The answer is: $ 30,593.09.

Mentally estimate the total cost of items that have the following prices 1.85 $ .98 $3.49 $9.78 and $6.18 round off your answer to the nearest half dollar

Answers

The total cost is $22.28, rounded to the nearest half dollar is $22.50.

Final answer:

To estimate the total cost, each item's price is rounded to the nearest half dollar: $1.85 to $2.00, $0.98 to $1.00, $3.49 to $3.50, $9.78 to $10.00, $6.18 to $6.00. Summing the rounded figures, the estimated total is $22.50.

Explanation:

To mentally estimate the total cost of the items, we round each item's price to the nearest half dollar and then add them up.

Item 1: $1.85 rounds to $2.00Item 2: $0.98 rounds to $1.00Item 3: $3.49 rounds to $3.50Item 4: $9.78 rounds to $10.00Item 5: $6.18 rounds to $6.00

Adding up the rounded figures gives us: $2.00 + $1.00 + $3.50 + $10.00 + $6.00, which equals $22.50. Thus, the estimated total cost of the items is $22.50, rounded to the nearest half dollar.

How many sides of a polygon have if the sum of the measures of its angle is 2880?

Answers

Using the sum of interior angles formula; 

(n-2)×180=sum
(n-2)×180=2880 
n-2=2880/180 
n-2=16 
n=16+2 
n=18 

Therefore, this polygon would have 18 sides. 

Hope I helped :) 

30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!

The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).



What is the perimeter of the polygon to the nearest tenth of a unit?



15.3 units
16.9 units
17.5 units
17.9 units

Answers

Answer:

  16.9 units

Step-by-step explanation:

Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...

  14.87 + 2 = 16.87 ≈ 16.9 . . . units

_____

The distance formula can be used to find the lengths of individual segments. It tells you ...

  d = √((Δx)² +(Δy)²)

where Δx and Δy are the differences between x- and y-coordinates of the segment end points.

If the segments are labeled A, B, C, D, E in order, the distances are ...

  AB = √(5²+1²) = √26 ≈ 5.099

  BC = √(1²+3²) = √10 ≈ 3.162

  CD = Δx = 3

  DE = √(3²+2²) = √13 ≈ 3.606

  EA = Δy = 2

Then the perimeter is ...

  P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867

  P ≈ 16.9

What is the area of the figure. Show your work.

Answers

This is a 45-45-90 triangle.
The ratio of the sides is
1: 1: sqrt(2)

The legs have length (24 ft)/(sqrt(2)

The legs are the base and height.

A = bh/2 = [(24 ft)/(sqrt(2)) * (24 ft)/(sqrt(2))]/2 = [(576 ft^2)/2]/2

A = 144 ft^2

Point M and N are midpoints of AB and DA respectively.
Complete the following table to prove triangle CDN ≅ triangle CBM
For the last reason choose from: SSS, SAS, or ASA.
*image attached below*

|
Statement | Reason
line DC ≅ _____ | The sides of a square are congruent.
line BM ≅ _____ | They are both half the length of a side of the square.
angle _____ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | ____________________________________
|

Answers

triangle CDN ≅ triangle CBM

Statement | Reason
line DC ≅ __BC___ | The sides of a square are congruent.
line BM ≅ __DN___ | They are both half the length of a side of the square.
angle __D___ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | 
by
SAS

Answer:

triangle CDN ≅ triangle CBM

Statement | Reason

line DC ≅ __BC___ | The sides of a square are congruent.

line BM ≅ __DN___ | They are both half the length of a side of the square.

angle __D___ ≅ angle B | All the angles of a square are congruent.

triangle CDN ≅ CBM |  

by

SAS

Step-by-step explanation:

If their food and beverages cost $25.30 and there is an 8% meals tax

Answers

Hey there,
Tax = 8% x $23.50 
       = $18.80
End cost = $25.30 + $18.30
               = $44.10

Hope this helps :))

~Top

Answer:

Then they'll pay $27.32

Step-by-step explanation:

In order to determine this, start by multiplying the cost of the meal by the tax amount.

25.30 * 8% = 2.02

Now add the tax to the meal cost

25.30 + 2.02 = 27.32

What is the sum of the solution of 2lx-1l-4=-2

Answers

The sum of the two solutions is 4+0 or 4.

Sandy had 161 dollars to spend on 9 books. After buying them she had 17 dollars. How much did each book cost

Answers

Each book costs $16.00.

A total of 697 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Let x = number of adult tickets sold
Let x-53 = number of student tickets sold

x + x -53 = 697
2x - 53 = 697. 

Add 53 to both sides to get:

2x = 750

Divide both sides by 2 to get:

x = 375

375 adult tickets were sold. 

Your Turn: In the diagram, AB = 12, BX = 2.5, and DX = 5. Find CD. Show all work. *

Answers

CD = 24 Triangles ABX and CDX are similar triangles. So the ratio of lengths between corresponding legs of the triangles will have the same value. You know that they're similar triangles because both of them are right triangles (so you know that one angle is the same in both) and that arc draw on both angles AXB and CXD indicate that those angles match as well. That tells you there's a second angle that's matching in both triangles, and because two of the angles match, you also know that the unmarked angle matches as well since all the angles in a triangle have to add up to 180 degrees. So you know that AB/CD = BX/DX. Substitute known values and you get AB/CD = BX/DX 12/CD = 2.5/5 Now solve for CD 12/CD = 2.5/5 12/CD = 1/2 24/CD = 1 24 = 1 * CD 24 = CD So the value of CD is 24.

The homegrown Turkey farm is preparing their Thanksgiving shipment. In one container they can put 8 big turkey boxes or 10 small turkey boxes. They send 96 turkey boxes using more big boxes than small boxes. How many containers did they use?

Answers

They used 11 containers. 7 containers contained 56 big turkey boxes while 4 containers contained 40 small turkey boxes. 56 is the largest number which is divisible by 8 when deducting 96 by 10. This method ensured that all the containers are shipped at full capacity.

The correct answer is:

11 containers.

Explanation:

We want 96 boxes total. Each container can hold either 10 small boxes or 8 large boxes. To solve this, we want to subtract multiples of 10 from 96 until we have a number that is divisible by 8. This is because we cannot have a fraction of a container full of either big or small boxes.

96-10(1) = 96 - 10 = 86; this is not divisible by 8.

96-10(2) = 96 - 20 = 76; not divisible by 8.

96-10(3) = 96 - 30 = 66; not divisible by 8.

96-10(4) = 96 - 40 = 56; this is divisible by 8.

This means there are 4 containers of small boxes, for 4(10) = 40 boxes, and 56/8 = 7 containers of large boxes, for 56 boxes. This is a total of 4+7 = 11 boxes for our 40+56 = 96 boxes.

does a line that bisects an angle of a triangle also bisects the side that is opposite the angle?

Answers

yes, the bisecting line will also bisect the side
yes it does bisect an angle

What is X in this situation? I'm thinking that you could get X, via vertical angles, but I'm not too sure.

Answers

Use alternate interior angles.
The angle to the left of x is 32
The angle to the right of x is 68
Since the three angles(32, x, and 68) form a straight line, they are supplementary.
32+x+68=180
100+x=180 x=80

The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance would it be possible for the cross section be a non-rectangular parallelogram?

Answers

The cross-section of a cube can be a non-rectangular parallelogram when the cutting plane is not perpendicular to the cube's base.

The scenario where a cube's cross-section can be a non-rectangular parallelogram occurs when the cutting plane is at an angle other than a right angle to the cube's base. This results in a parallelogram that is not a rectangle, as the cutting plane affects the shape of the cross-section.

When the cutting plane deviates from being perpendicular to the base of the cube, it creates a cross-section that is not a rectangle but can be a parallelogram with unequal angles and sides.

Understanding the geometric implications of the cutting plane's orientation is crucial in visualizing how the cube's cross-section can vary from a rectangular shape to a non-rectangular parallelogram.

Can anyone help me to understand how to solve coordinate proofs in Geometry?????

Answers

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .For example, the following is a coordinate proof of the Triangle Midsegment Theorem , which states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and exactly half the length.Without loss of generality, we can assume that one side of the triangle lies on the xx -axis with one vertex at (0,0)(0,0) and the other vertex at(a,0)(a,0).Let the third vertex have the coordinates (b,c)(b,c) . We can assume without loss of generality that this third vertex lies in the first quadrant. (If it doesn't, you can just reflect the triangle over the xx - and/or yy -axis until it does.)

Example:

To Prove: XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ and

XY=12PRXY=12PR

Proof:

Using the midpoint formula , the coordinates of the midpoints XX and YY are

X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)

First note that the slope is 00 , since

m=riserun     =(c2−c2)(b2−(a+b2))     =0(b2−(a+b2))     =0m=riserun     =(c2−c2)(b2−(a+b2))     =0(b2−(a+b2))     =0

So, XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ .

Now, compare the lengths of the two segments.

XY=a+b2−b2        =a2PR=a−0        =aXY=a+b2−b2        =a2PR=a−0        =a

So,

XY=12PRXY=12PR

Thanks to google for example


hope this helps

The cost of a pair of jeans was changed from $78 to $68.64. What was the percent change?

Answers

Answer:

-12.00%

Step-by-step explanation:

;)

Answer:

12% decrease

Step-by-step explanation:

A newspaper carrier can deliver 49 papers in one hour at this rate how many newspaper can the carrier deliver in 3 hours

Answers

The newspaper carrier can deliver 147 newspapers in 3 hours
You would multiply the time by how many newspapers he can deliver. He can deliver 147 in 3 hours. Hope this helps

Have a nice day.

What is slope and how is it determine from a graph?

Answers

Pick two points on the line and determine their coordinates.Determine the difference in y-coordinates of these two points (rise).Determine the difference in x-coordinates for these two points (run).Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Slope is Y= mx + b
rise over runexample y= 3x+2 
the three
Other Questions
How to predict products of acid-base reactions? What form of writing is displayed in the image above and who invented this writing? A.)cuneiform invented by the Egyptians B.)hieroglyphics invented by the Egyptians C.)cuneiform invented by the Sumerians D.)hieroglyphics invented by the Sumerians A rectangular garden must have an area of 64 square feet. find the minimum perimeter of the garden. What current issue is similar to prohibition? PLEASE HELP WILL BAINLIESTWhat is mM ?Enter your answer in the box. The sales tax rate is 8.2%. Estimate the sales tax on a computer that costs $550. about $40about $36about $32about $44 i don't care if this is not school topic my friend swaggba is being bullied badly by a girl named nateliemyres400 so if you could support her and tell her how beautiful she is don't worry about nateliemyres400 she likes the attention so the best thing to do is not to give her attention at all How many minutes are students given to complete the evidence-based reading section of the PSAT?A. 45B. 30C. 60D. 35 Juanita karoz purchased lawn furniture for $727. she made a 27% down payment and financed the remainder. what amount did she finance? The conflict that occurred at Wounded Knee in 1890 can BEST be described as A sociologist studies the family dynamics of marie, a transgender woman who was raised as a boy named max. the sociologist notices marie's father "deadnaming" her. what is he doing? Two-fifths of a number is decreased by three. Find the value of the expression if the number is twenty-five. A. 8.8B. 13C. 10D. 7 Suppose you deposit $5,000 in a savings account that earns 3% annual interest. If you make no other withdrawals or deposits, how many years will it take the account balance to reach at least $6,000? A. 10 years. B. 6 years. C. 7 years. D. 4 years Which group contains only organs in a human body? What group sets hunting regulations in most states? the state legislature a wildlife management agency an environmental agency local hunting organization? Which of these methods of soil conservation would allow a farmer to add nutrients to soil wile also preventing erosion from crop fields. A. Shelterbelts . B Cover crops . C Countour Plowing . D No-till farming Doug got 8 out of 10 questions correct on a math quiz. If each question was worth the same number of points, and the test was worth 50 points total, what was Doug's score? which of the following instances best incorporates the use of software on your computer in human activities how long would carbon stay as fossil fuels How did Deborah Sampson contribute to the war effort? Steam Workshop Downloader