Answer:
Step-by-step explanation:
a=12, b=10, c=?
a²+b²=c²
Using pythagorean theorem you can find that c= 2√61
Final answer:
The distance along the hypotenuse of the right triangle with 12 feet vertical height and 10 feet horizontal length is found using the Pythagorean Theorem. The calculated distance is approximately 15.62 feet.
Explanation:
To find the distance along the hypotenuse of a right triangle formed by five people with a total vertical height of 12 feet and a total horizontal length of 10 feet, we use the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Thus, the formula is a² + b² = c².
In this case, we have:
a (the vertical height) = 12 feetb (the horizontal length) = 10 feetPlugging these values into the Pythagorean Theorem gives:
12² + 10² = c²
144 + 100 = c²
244 = c²
Now, find the square root of 244 to get the length of the hypotenuse:
c = √244
c ≈ 15.62 feet (using three significant figures)
Therefore, the distance along the hypotenuse of the human triangle is approximately 15.62 feet.
You are to demonstrate that you understand what represents a function and what does not represent a function. You may do this by either writing a paragraph using complete sentences or drawing pictures with labels.
We know that functions are mathematical entities that assign unique outputs to given inputs. In other words, a function can't have repeated values in the input repeated x-value.
For example consider the relation {(1,4), (1,5), (2,6), (3,7), (4,8), (5,9)}.
We see that above relation has repeated x-value "1" which is assigned to two different output values 4 and 5. So by definition of function, above relation can't be a function.
The slop-intercept form of the equation of a line that passes through points (-2,-13) is y=5x-3 what is the point slope form of the equation of the equation for this line
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
y=5x-3 what is the point slope form of this equation?
The point-slope form looks like y - k = m(x - h), where (h, k) is the given point and m is the given slope.
Here the given point is (-2, -13). Therefore, the desired equation is:
y -(-13) = 5( x - [-2] ), or
y + 13 = 5(x + 2)
Answer:
[tex]y+13=5(x+2)[/tex]
Step-by-step explanation:
The given function passes through (-2,-13).
The slope-intercept form of this equation is [tex]y=5x-3[/tex].
This implies that; the slope of the given function is;
[tex]m=5[/tex]
The point-slope form of this function is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
We have [tex](x_1,y_1)=(-2,-13)[/tex]
We substitute the point and the slope into the function to obtain;
[tex]y--13=5(x--2)[/tex]
[tex]y+13=5(x+2)[/tex]
Math algebra 1 plsssss helppppp!!!!
Answer:
5. He rented 7 new releases videos
6. 4 3-bedrooms units.
7. length: 37, width: 18
8. 81 dimes, 47 quarters
Step-by-step explanation:
5. Videos
X: New releases
Y: Regular titles
EQ1: x + y = 18 (he rented 18 videos)
EQ2: 3x + 2y = 43 (he paid $43 for the 18 videos)
By EQ1, we can isolate y-value as y = 18 - x
We place this y-value into EQ2:
3x + 2(18 - x) = 43 and we solve:
3x + 36 - 2x = 43
3x - 2x = 43 - 36
x = 7
He rented 7 new releases videos
6. bedroom units
X: 2-bedrooms units
Y: 3-bedrooms units
EQ1: x + y = 7 (they have 7 units)
EQ2: 450x + 650y = 3950 (their monthly renting revenues)
By EQ1, we can isolate x as x = 7 - y (since we're looking for 3-bedrooms units), and place that value in EQ2:
450 (7 - y) + 650y = 3950
3150 - 450y + 650y = 3950
200y = 800
y = 4
So, they have 4 3-bedrooms units.
7. Rectangle
X: length
Y: width
EQ1: x + y = 55 (since perimeter is 110 and includes 2x + 2y)
EQ2: x = 2y + 1 (length is twice the with, plus 1)
Since we are asked to find both values, it doesn't matter by which we begin. By EQ1, we can do x = 55 -y, and place that value in EQ2, to get:
55 - y = 2y + 1
54 = 3y
y = 18
Place y = 18 in EQ1 to find x:
x + 18 = 55
x = 37
8. Dimes and quarters
X: dimes
Y: quarters
EQ1: x = y + 34 (34 more dimes than quarters)
EQ2: 10x + 25y = 1985 (total value of the collection)
Let's place the value of x from EQ1 in EQ2:
10 (y + 34) + 25y = 1985
10y + 340 + 25y = 1985
35y = 1645
y = 47
From EQ1, we then have
x = 47 + 34 = 81
So, we have 81 dimes ($8.10) and 47 quarters ($11.75), for a total of $19.85.
What is the result of this operation?
the answer is B because you will add and subtract each element with it's corresponding one
The result of this operation is option B. This is obtained by using matrix addition and subtraction.
What is the result of this operation?Adding and subtracting the terms of the matrix since these are matrices with same order. Hence we get,
[tex](\left[\begin{array}{ccc}13&10&7\\6&8&1\\2&5&0\end{array}\right] -\left[\begin{array}{ccc}3&-2&6\\14&-6&11\\8&-12&9\end{array}\right] ) +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}10&12&1\\-8&14&-10\\-6&17&-9\end{array}\right] +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]
=[tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex]
Thus the required matrix is option B.
Learn more about matrix addition and subtraction here:
brainly.com/question/34923885
#SPJ2
Drag the values to order them from least to greatest, with the least at the top.
[tex]\bf 4\pi \qquad \approx \qquad 12.57 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{79}+\sqrt{63}\qquad \approx \qquad 8.89 + 7.94\implies 16.83 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{143}\qquad \approx \qquad 11.96 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{11.96}{\sqrt{143}}\qquad \stackrel{12.57}{4\pi }\qquad \stackrel{16.83}{\sqrt{79}+\sqrt{63}}~\hfill[/tex]
[tex]4\pi = 1.27323954474\\\sqrt{143} = 11.9582607431\\\sqrt{79} + \sqrt{63} = 16.8254483505[/tex]
Which measurement could be a surface area measure? 18 ft. 64.5 m3 27.9 mm2 50 g
Answer:
27.9 mm2
27.9 mm2 = 2.79 × 10^ -5 m2
Describe the domain of the logarithmic function, y = log10 x.
all numbers greater than or equal to zero
all numbers less than zero
all numbers greater than zero
Answer:
C). all numbers greater than zero
Step-by-step explanation:
We have been given a logarithmic function [tex]y=\log_{10}x[/tex].
Now we need to find about what is the domain of the given function then match with the correct choice from the given choices:
A). all numbers greater than or equal to zero
B). all numbers less than zero
C). all numbers greater than zero
By definition of logarithmic function we know that log is not defined for 0 or negative values.
Hence domain of given function must be
C). all numbers greater than zero
The answer is:
The third option,
All numbers greater than zero.
Why?The logarithmic function exists only from the numbers greater than zero to all the positive numbers, we must remember that the logarithmic function is the inverse to the exponential function, which domain is equal to all numbers greater than zero.
Hence, the answer is the third option:
All numbers greater than zero.
I have attached a picture for better understanding.
Have a nice day!
1. z²-9z=66
2. y²+16y=17
3. 2h²-5h=-1
Hello,
Starting with problem one:
Subtract 66 from both sides.
z2−9z−66=66−66
z2−9z−66=0
Use quadratic formula with a=1, b=-9, c=-66.
z = 9/2+1/2√345
Problem two:
Subtract 17 from both sides.
y^2+16y−17=17−17
y^2+16y−17=0
Factor left side of equation.
(y−1)(y+17)=0
Set factors equal to 0.
y−1=0 or y+17=0
y=1 or y=−17
ANSWER: y=1 or y=−17
Problem 3:
2h^2−5h−(−1)=−1−(−1)
2h^2−5h+1=0
Use quadratic formula with a=2, b=-5, c=1.
ANSWER: h=5/4+1/4√17
Have an amazing day.
Janice completed the following polynomial addition. Find her error and correct her work.
Answer:
Option B. [tex]9x^{3}-2x^{2}-4x-2[/tex]
Step-by-step explanation:
we have
[tex]7x^{3}-2x^{2} +5[/tex]
[tex]2x^{3}-4x-7[/tex]
Adds the polynomial
Group terms that contain the same variable
[tex](7x^{3}+2x^{3})-2x^{2}-4x+(5-7)[/tex]
Combine like terms
[tex]9x^{3}-2x^{2}-4x-2[/tex]
Janice's error was
[tex]-2x^{2} +5-4x-7=6x^{2}-12[/tex]
so
[tex]-2x^{2}-4x=6x^{2}[/tex]
instead
[tex]-2x^{2}-4x=-2x^{2}-4x[/tex]
and
[tex]5-7=-12[/tex]
instead
[tex]5-7=-2[/tex]
Answer:
B
Step-by-step explanation:
Edge 2022
25 POINTS + BRAINLIEST
Use the net to find the surface area of the prism.
A. 22 m^2
B. 276 m^2
C. 522 m^2
D. 968 m^2
Answer:
C. 522 m^2.
Step-by-step explanation:
The area of the 3 rectangles in the net
= 10 * (9 + 16.6 + 14)
= 10 * 39.6
= 396. m^2.
The area of the 2 triangles
= 2 * 1/2 * 14 * 9
= 126 m^2.
Total surface area = 522 m^2.
HELP HELP 20 points,,,,,,,
Answer:
B) y+3=-1/4(x-8) hope this helps! :D
Step-by-step explanation:
point-slope formula is y-y1=m(x-x1)
y1 and x1 are coordinates, aka a point
The answer ur looking for is B
Sandra calculated the height of a cylinder that has a volume of 576(pie) cubic centimeters and a radius of 8 centimeters. Her work is shown below.
V=Bh
Step 1: 576(pie)= (pie)8^2h
Step 2: 576(pie) = 64(pie)h
Step 3: 576(pie)/64(pie) = 64(pie)/64(pie)h
Step 4: h=9(pie) cm
What error did Sandra make when calculating the height of the cylinder?
A. In step 1, she substituted into the volume formula incorrectly.
B. In step 2, she calculated 8^2 incorrectly. It should be 16 rather than 64.
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
D. Sandra calculated the height of the cylinder correctly.
Answer:
See below.
Step-by-step explanation:
Step 3 should be: 576pi / 64pi = 64pi h / 64pi
Step 4: 9 = h.
I would say C and D.
Answer:
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Step-by-step explanation:
We know that,
The volume of a cylinder is,
[tex]V=\pi(r)^2h[/tex]
Where r is the radius of the cylinder,
h be the height of the cylinder,
Given,
[tex]V=576\pi \text{ cubic cm}[/tex]
r = 8 cm,
So, for finding the height of the cylinder the steps are as follows,
Step 1 : [tex]576\pi =\pi (8)^2h[/tex]
Step 2 : [tex]576\pi =\pi (64)h[/tex]
Step 3 : [tex]\frac{576\pi}{64\pi} =\frac{\pi (64)}{64\pi}h[/tex]
Step 4 : [tex]h = 9\text{ cm}[/tex]
Thus, it is clear that she had her mistake in 4th step,
She should cancel out [tex]\pi[/tex].
Option C is correct.
HELP PLEASE WILL GIVE BRAINLIEST TO WHOM CAN ANSWER CORRECTLY A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
look at attachment
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
Answer: No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
Step-by-step explanation:
A representative sample has to be in proportion, and the diagram shows that the greater part is not represented in proportion. Because it is not represented in proportion, it is not a representative sample.
Answer: C
Answer:
Letter C because the sample size is not in proportion to the rest of the weeds in the grass.
Step-by-step explanation:
Also, I use Ed_genuity too did u rlly need to blur out time left lol
Which of the following function is graphed below?
Answer:
C
Step-by-step explanation:
We can see that there is a closed dot and the function is going left and it is a cubic function.
Additionally, the only one with a [tex]x^3+n\leq 2[/tex] inequality is C.
Stephaine has 3 3/4 bags of soil to put in her garden. Each bag of soil will cover 125.3 ft^2. How many square feet will Stephanie. be able to cover if she uses all these bags of soil?
Answer:
[tex]125.3 \times 3 = 375.9[/tex]
[tex]125.3 \times \frac{3}{4} = 93.975[/tex]
[tex]375.9 + 93.975 = 469.875[/tex]
A relative frequency table is made from data in a frequency table. What is the value of K in the relative frequency table? Round your answer to the nearest percent.
Answer: k = 11%
Step-by-step explanation:
The relative frequency fr is calculated by dividing the frequency xi of a given Class by the number of total data.
[tex]fr = \frac{xi}{n} * 100\%[/tex]
In this problem there are 4 Class U ^ V and S ^ T
Notice in the first table that the total number of data is n = 19.
The relative frequency of k will be the frequency of T ^ V between the total number of data.
Notice in the first table that the frequency of the Class T ^ V is 2.
So
[tex]k = \frac{2}{19} * 100\%\\\\k = 11\%[/tex]
Answer:
B=11%
Step By Step EXP.
Believe in me
can someone plz help me now plz
Answer:
Step-by-step explanation:
Write down what you have for each pizza size.
small: s
Medium: (3/2) s
Large: (5/2) s
The only way I can see to do this is
s = L - M
s = 5/2 s - 3/2 s
s = 2/2 s
This of course is not exactly what you are looking for. There is no explicit formula that will tell you exactly how much dough is in a small pizza.
See the comment below posted by SqdanceFan. He is saying that M/L = (3/2)//(5/2) = 3/5
Also (M)/( S + M) = 3/5
But neither gives you an explicit formula for small, but it is a relationship. The fact that equality is achieved when both are zero is also true, but it does not solve the question. I don't think there's a good answer to this question.
use unit multipliers to convert 14 yards per minute to inches per second
Answer:
8.4 in. per seconds
Step-by-step explanation:
14yd=42ft.
42ft=504in per min
504/60=1 min / 60
8.4=1 sec.
Answer:
8.4 inches/second
Step-by-step explanation:
1 yd = 3 ft
1 ft = 12 inches
1 minute = 60 seconds
These are the conversion factors we need to convert 14 yds /minutes to inches per second
14 yds 3 ft
-------- * -------------
minutes yd
The yds cancel and we are left with
42 ft
--------
minutes
42 ft 12 inches
-------- * ------------------
minutes 1 ft
The feet cancel
504 inches
-------------------
minutes
504 inches 1 minute
------------------- *--------------
minutes 60 seconds
The minutes cancel
504 inches
------------------
60 seconds
Simplifying the numbers
8.4 inches
----------------
second
Which coordinate pair is a solution of the linear equation 5x-3y=-21
Answer:
B, (-9,-8)
Step-by-step explanation:
to solve, plug in the terms into 5x - 3y = -21
plugging in (-9,-8) into the equation:
5(-9) - 3(-8) = -21
--45 + 24 = -21
-21 = -21
(-9,-8) is a solution to the equation
Answer:
(-9,-8)
Step-by-step explanation:
Need help plz .You have $2500 to invest in two different accounts. In order to save the money you need for college, you need to average 7% interest. If the two accounts pay 7.5% and 6% interest, how much should you invest in each account? Round to the nearest dollar amount.
A)$1667 in 7.5%, $833 in 6%
B)$1833 in 7.5%, $667 in 6%
C)$667 in 7.5%, $1833 in 6%
D)$833 in 7.5%, $1667 in 6%
Answer:
A)$1667 in 7.5%, $833 in 6%
Step-by-step explanation:
Let amount of money invested 6% account = x
Let amount of money invested 7.5% account = y
Then we get equations:
x+y=2500
or x=2500-y ...(i)
6% of x+7.5% of y=7% of (2500)
or 0.06x+0.075y=0.07(2500)
or 60x+75y=175000...(ii)
plug (i) into (ii)
60x+75y=175000
60(2500-y)+75y=175000
150000-60y+75y=175000
-60y+75y=175000-150000
15y=25000
y=$1666.66666667
or y=1667
plug into (i)
x=2500-y=2500-1667=833
Hence final answer is A)$1667 in 7.5%, $833 in 6%
bill ran 400 m in 54s. joe ran 300m in 43s. who ran faster
Answer:
Bill
Step-by-step explanation:
Answer:
Bill ran faster than Joe.
Step-by-step explanation:
On average Bill ran each 100m in 13.50s while Joe ran each 100m in 14.33s.
Which values are the solutions to the inequality below
Answer:
option B 5
option D -6
Step-by-step explanation:
Given in the question an inequality
x² > 16
Step 1
Take square root on both sides of inequality
√x² > ±√16
x < -√16 or x > √16
x < -4 or x > 4
Step 2
-4 > x > 4
x = 5 x > 4 accepted
x = -6 x < -4 accepted
Step 3
x = 4 rejected
x = -1 rejected
confused can someone help pls
For this case, we have that by definition, be given two functions f (x) and g (x). So:
[tex](f-g) (x) = f (x) -g (x)[/tex]
We have:[tex]f (x) = - 3x-5\\g (x) = 4x-2[/tex]
So:
(f-g) (x) = - 3x-5- (4x-2)
We have to:
[tex]- * + = -\\(f-g) (x) = - 3x-5-4x + 2[/tex]
Equal signs are added and the same sign is placed while different signs are subtracted and the sign of the greater is placed
[tex](f-g) (x) = - 7x-3[/tex]
Answer:
Option D
Last year Jonathan was 6034 inches tall. This year he is 6514 inches tall. How many inches did he grow?
Answer:
480 in
BTW: Who could be that tall other than "Jonathan" of course?
Step-by-step explanation:
If you use subtraction...
6514-6034=480
to solve this problem subtract 6034 from 6514 to get 480
So he grew 480 inches which is equivalent to 40 feet
the baseball coach has 108 baseballs to share equally among 8 players. how many baseballs will be left over
Answer:
4 balls
Step-by-step explanation:
108/8=13.5 or 13 R 4
For this case we must divide the number of baseballs among the number of players. Let "x" be the variable that represents the amount of baseballs that each player has to play. So:
[tex]x = \frac {108} {8}\\x = 13.5[/tex]
Rounding down, [tex]x = 13.[/tex]
Each player gets 13 baseballs. Then there are:
[tex]108-13 * 8 = 108-104 = 4[/tex] baseballs
Answer:
4 baseballs
Which of the following is the slope-intercept form of the equation 3y = 2(x – 6)?
Answer:
y = 2/3x - 4
Step-by-step explanation:
To convert the equation \(3y = 2(x - 6)\) into slope-intercept form (\(y = mx + b\)), where \(m\) is the slope and \(b\) is the y-intercept, follow these steps:
1. Distribute the scalar on the right-hand side of the equation to both terms within the parentheses:
\(3y = 2x - 12\)
2. Isolate the variable \(y\) on one side by dividing the entire equation by 3:
\(y = \frac{2}{3}x - 4\)
Now the equation is in slope-intercept form, where the slope \(m\) is \(\frac{2}{3}\) and the y-intercept \(b\) is \(-4\). The final equation is:
\[y = \frac{2}{3}x - 4\]
Which point would be on the residual plot of the data
Answer:
c (3,0)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
which of exercises 14-19 could you solve mentally
Answer:
piccctures?
Step-by-step explanation:
If x+y = 6, y+z = 7, and z+x = 9, what is the average (arithmetic mean) of x, y, and z?
Answer:
11/3 . . . or . . . 3 2/3
Step-by-step explanation:
Adding the three equations will give 2x+2y+2z:
(x +y) +(y +z) +(z +x) = 6 +7 +9
2x +2y +2z = 22
Dividing by 2 gives the sum of three variables:
x +y +z = 11
The average of x, y, and z is their sum divided by 3:
(x +y +z)/3 = 11/3
help me plzz show work plz
Answer:
B
Step-by-step explanation:
Use the formula for radius and circle circumference.
[tex]d=2r \\ \\ C=2\pi r[/tex]
Since we know the diameter, if we divide that by 2, we can get the radius.
[tex]29.5/2=14.75[/tex]
Now we can plug that value into the circumference formula to get the circumference.
[tex]C=2(14.75)\pi \\ \\ C=29.5\pi \\ \\ C=93[/tex]
*Since we're rounding to the nearest inch.