Pls help. do all three for brainliest!
2 answers:
Answer:
Rectangular pyramid volume: 8×9×9/3 = 216 cm³
Rectangular prism volume: 8×9×7 = 504 cm³
Total volume of composite figure: 216+504 = 720 cm³
Answer:
720 cm³
Step-by-step explanation:
Rectangular pyramid:
Volume = ![\frac{1}{3}BH](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7DBH)
H = 9 cm
B-> base area = area of rectangle
B = length * width = 8*9 = 72 square cm
![Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B1%7D%7B3%7D%2A72%2A9%20%3D%20216%20%5C%20cm%5E%7B3%7D)
Rectangular prism:
length = l = 8 cm
Width = w = 9 cm
Height = h = 7 cm
Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³
Volume of composite figure = volume of pyramid + volume of r. prism
= 216 + 504
= 720 cm³
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Answer:
g o f = ![g(f(x)) = 32x^2 + 32x + 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%204)
Step-by-step explanation:
Given
![f(x) = 4x +2](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%20%2B2)
![g(x) =2x^2 - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D2x%5E2%20-%204)
Required:
Find g o f
This is calculated as:
![gof = g(f(x))](https://tex.z-dn.net/?f=gof%20%3D%20g%28f%28x%29%29)
![g(x) =2x^2 - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D2x%5E2%20-%204)
So:
![g(f(x)) = 2(4x+2)^2 - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%284x%2B2%29%5E2%20-%204)
![g(f(x)) = 2(4x+2)(4x+2) - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%284x%2B2%29%284x%2B2%29%20-%204)
![g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%5B%2016x%5E2%20%2B%2016x%20%2B%204%29%5D%20-%204)
![g(f(x)) = 32x^2 + 32x + 8 - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%208%20-%204)
![g(f(x)) = 32x^2 + 32x + 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%204)
I would say go with with B
First, write the rate as a decimal by moving the decimal point two places to the left from the percent.
r = 5% = 0.05
C = p + rp
C = 30.99 + 0.05 * 30.99
C = 30.99 + 1.55
C = 32.54
Answer: The total cost is $32.54
Answer: b
Step-by-step explanation: