Given:
Surface area = 4,362 yards
Length = 36 yard
Width = 21 yard
Height = c
To find:
Volume of the rectangular prism.
Solution:
Surface area formula:
![SA = 2(lw+wh+lh)](https://tex.z-dn.net/?f=SA%20%3D%202%28lw%2Bwh%2Blh%29)
Substitute the given values.
![4362 = 2(36\times21 +21 \times c+36 \times c)](https://tex.z-dn.net/?f=4362%20%3D%202%2836%5Ctimes21%20%2B21%20%5Ctimes%20c%2B36%20%5Ctimes%20c%29)
![4362 = 2(756+21 c+36 c)](https://tex.z-dn.net/?f=4362%20%3D%202%28756%2B21%20%20c%2B36%20c%29)
![4362 = 2(756+57c)](https://tex.z-dn.net/?f=4362%20%3D%202%28756%2B57c%29)
![4362 = 1512+114c](https://tex.z-dn.net/?f=4362%20%3D%201512%2B114c)
Subtract 1512 from both sides.
![4362- 1512 = 1512+114c - 1512](https://tex.z-dn.net/?f=4362-%201512%20%3D%201512%2B114c%20-%201512)
![2850=114c](https://tex.z-dn.net/?f=2850%3D114c)
Divide by 114 on both sides, we get
25 = c
Height = 25
Volume = length × breadth × height
= 36 × 21 × 25
= 18900
Volume of rectangular prism is 18900 cubic yards.
Answer:
The following graph shows the function f(x) and g(x): the function g(x) is obtained by adding 5 to f(x).
Step-by-step explanation:
They have the same format, the only difference are the values of y(that is, the values of the function).
We can verify the difference when x = 0.
x = 0
f(x) = 0
g(x) = 5
So the answer is:
The following graph shows the function f(x) and g(x): the function g(x) is obtained by adding 5 to f(x).
9. 9.37, 9.3, 9.219, 9.129
10. 0.101, 0.100, 0.012, 0.001
11. 5.312, 5.231, 5.132, 5.123
12. 62.950, 62.905, 62.833, 62.383
Hope it helps
The coordinates of the other endpoint are (-8, 18)
Given:
Total savings = $400
Ratio of savings of Blake and Josh = 3:1
To find:
The saving of each.
Solution:
Let the savings of Blake and Josh are 3x and x respectively.
According to the question,
![3x+x=400](https://tex.z-dn.net/?f=3x%2Bx%3D400)
![4x=400](https://tex.z-dn.net/?f=4x%3D400)
Divide both sides by 4.
![x=100](https://tex.z-dn.net/?f=x%3D100)
Now,
Savings of Blake = 3(100)=300
Savings of Josh =100
Therefore, the savings of Blake and Josh are $300 and $100 respectively.