<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:
![V=\frac{1}{3}Bh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBh)
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
![A=\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
Plug in the numbers.
![A=\frac{1}{2}*9*10](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2A9%2A10)
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
![V=\frac{1}{3}*45*8](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2A45%2A8)
V = 120 in^3
Given:
The value is:
![\sin^{-1}(0.391)](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%280.391%29)
To find:
The smallest positive degree angle measure equivalent to
.
Solution:
We have,
![\sin^{-1}(0.391)](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%280.391%29)
Using the scientific calculator, we get
![\sin^{-1}(0.391)=23.0167366398^\circ](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%280.391%29%3D23.0167366398%5E%5Ccirc)
![\sin^{-1}(0.391)\approx 23^\circ](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%280.391%29%5Capprox%2023%5E%5Ccirc)
Therefore, the smallest positive degree angle measure equivalent to
is 23 degrees.
Answer:
8x + 11= 315
Step-by-step explanation:
Let x = the number of students in a bus
There are 8 buses
8x is the number of students in buses
There are 11 students in cars
Add this together to get all the students, which is 315
8x + 11= 315
Answer:
359
Step-by-step explanation:
6x3+18
18 to the second power is 324
10x3=30
30+5=35
324+35=359