Answer:
![V = \frac{450L - 6 L^{3} }{10}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B450L%20-%206%20L%5E%7B3%7D%20%7D%7B10%7D)
Step-by-step explanation:
The volume of a cuboid can be determined simply by the formula: V= LWH
(where: L is length, H is height and W is width).
In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:
![V = L^{2} H](https://tex.z-dn.net/?f=V%20%3D%20L%5E%7B2%7D%20H)
Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:
<u>Area:</u>
Base:
×![L = L^{2}](https://tex.z-dn.net/?f=L%20%3D%20L%5E%7B2%7D)
Roof:
×![L = L^{2}](https://tex.z-dn.net/?f=L%20%3D%20L%5E%7B2%7D)
Side:
×
(we have considered all four sides)
<u>Cost:</u>
Base: 4![L^{2}](https://tex.z-dn.net/?f=L%5E%7B2%7D)
Roof: 2![L^{2}](https://tex.z-dn.net/?f=L%5E%7B2%7D)
Side: ![2.50 * 4HL = 10 HL](https://tex.z-dn.net/?f=2.50%20%2A%204HL%20%3D%2010%20HL)
Total cost:
4
+ 2
+ 10
= 450
We simplify this equation further:
6
+ 10<em>HL </em>= 450
10HL = 450 - 6
We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:
substituting
in
:
× ![\frac{450 - 6L }{10L}](https://tex.z-dn.net/?f=%5Cfrac%7B450%20-%206L%20%7D%7B10L%7D)
Simplifying it further:
× ![\frac{450 - 6L}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B450%20-%206L%7D%7B10%7D)
is the final answer.
Answer:
24 m/s
Step-by-step explanation:
Go to 20s on the graph(located on the x-axis) then go up. The point is right under 25m/s, therefore it is 24 m/s.
-4 is the x intercept.as in the values on the x-axis
Answer:
77
Step-by-step explanation:
the dog ate half so there is only the other half left and there is 43 cards left
1 half + 1 half = 1 whole so 43 + 43 = 86
86 is the total after he bought 9 new cards
86 - 9 = 77
The value of the sum of twice a number and 7 is 17.
<h3>What is an expression?</h3>
An expression is used to show the relationship between the variables that are given.
Let the number in this situation be 5. This will be illustrated as:
2n + 7
where n = number = 5
= 2n + 7
= 2(5) + 7
= 10 + 7
= 17
Therefore, the number is 17.
Learn more about numbers on:
brainly.com/question/24644930
#SPJ1