if the diameter is 15, its radius is half that, or 7.5
![\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=7.5\end{cases}\implies A=\pi 7.5^2\implies A=56.25\pi \\\\\\A\approx 176.71459\implies A = \stackrel{\textit{rounded up}}{177}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5CA%3D%5Cpi%20r%5E2~~%5Cbegin%7Bcases%7Dr%3Dradius%5C%5C%5B-0.5em%5D%5Chrulefill%5C%5Cr%3D7.5%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%207.5%5E2%5Cimplies%20A%3D56.25%5Cpi%20%5C%5C%5C%5C%5C%5CA%5Capprox%20176.71459%5Cimplies%20A%20%3D%20%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B177%7D)
Answer:
864 cubic inches
Step-by-step explanation:
Complete Question
A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?
The volume of a rectangular pyramid =
Area of the base × Height of the pyramid
Base has dimensions = 12 inches by 9 inches.
Area of the base = 108 square inches
Height of the pyramid = 8 inches
Volume of rectangular pyramid =
Area of the base × Height of pyramid
= 108 square inches × 8 inches
= 864 cubic inches
Therefore, the volume of the display case is 864 cubic inches
It would be better to buy 12 bars for 10 dollars and the rate would be $1.2. The rate for 5 bars would be $1.25.
It is instructed to subtract (2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).
So, First we will do the sum of the three given polynomials,
Sum =(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)
=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)
=4a+8c
Now, we can perform the subtraction,
∴ Required difference
=(4a+8c)−(2a−3b+4c)
=4a+8c−2a+3b−4c
=2a+3b+4c
Answer:
1st Question is ice
2nd Question is plant and animal remains
Step-by-step explanation:
Edg. 2020
