Answer:
The volume of the composite figure is:
Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
<em>VOLUME OF THE CUBE.
</em>
Finding the volume of a cube is actually simple, you only must follow the next formula:
- Volume of a cube = base * height * width
So:
- Volume of a cube = 6 ft * 6 ft * 6 ft
- <u>Volume of a cube = 216 ft^3
</u>
<em>VOLUME OF THE PYRAMID.
</em>
The volume of a pyramid with a square base is:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the base.
</em>
<em>h = height.
</em>
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
- Volume of a pyramid = 1/3 36 ft^2 * 8 ft
- <u>Volume of a pyramid = 96 ft^3
</u>
Finally, we add the volumes found:
- Volume of the composite figure = 216 ft^3 + 96 ft^3
- <u>Volume of the composite figure = 312 ft^3</u>
Answer: 5 sour straws
Step-by-step explanation: If he spends 7.50, then he still has 7.50 left. 7.50 / 5= 1.50
250 lunches are produced by the small business in last week.
<u>Step-by-step explanation:</u>
It is given that,
- y ⇒ the average cost per week.
- x ⇒ the number of lunches produced per week.
The function relating these two factors x and y is given as y = 2.1x + 75
- The cost of the last week is y = $600.
- The lunches made last week is x = unknown.
<u>To find the value of x :</u>
Substitute y= 600 in the given function,
⇒ 600 = 2.1x + 75
⇒ 2.1x = 600 - 75
⇒ x = 525 / 2.1
⇒ x = 250
Therefore, the lunches prepared last week is 250.
Answer:
Step-by-step explanation:
Hi!
Since an equilateral triangle means that every side is equal, our triangle will have 12 on all sides.
To find the height of an equilateral triangle we use 
.
.
So the height is 
.
Now we have to solve 12 * ÷ 2.
.
Thus, the area of the triangle is 
.
Hope this helps!
Answer:
g(h(10)) = 43
Step-by-step explanation:
Given: g(x) = 4x – 4 and h(x) = 2x – 8.
We are to find g(h(10))
First we need to get g(h(x))
g(h(x)) = g(2x-8)
Replace x in g(x) with 2x-8 as shown:
g(2x-8) = 4(2x-8)-4
g(2x-8)= 8x-32-5
g(2x-8) = 8x-37
Hence g(h(x)) = 8x-37
g(h(10)) = 8(10)-37
g(h(10)) = 80-37
g(h(10)) = 43
Hence g(h(10)) is 43
