Answer:
![V=40\ in^3](https://tex.z-dn.net/?f=V%3D40%5C%20in%5E3)
Step-by-step explanation:
The graph is not attached, however we know that, the volume of a triangular pyramid is given by the formula
![V=\frac{1}{3}Bh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBh)
where
B is the area of the triangular face
h is the height of the pyramid
we have
![B=12\ in^2\\h=10\ in](https://tex.z-dn.net/?f=B%3D12%5C%20in%5E2%5C%5Ch%3D10%5C%20in)
substitute the given values
![V=\frac{1}{3}(12)(10)=40\ in^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2812%29%2810%29%3D40%5C%20in%5E3)
Hi there!
To solve this problem, we need to find the amount of classmates out of the entire class who did not choose blue as their favorite color and then convert it into a percentage.
First, let's find the fraction:
Since there are 25 total people in her class, since
6 + 9 + 10 = 25
25 is the denominator of the fraction;
Since there are 16 people who did not choose blue,
6 + 10 = 16
16 is the numerator of the fraction.
So, our fraction is 16/25.
Now, we need to convert it into a percentage. To do this, we need to make the denominator 100 by multiplying it by a certain number, and then multiplying the numerator by that same number so the fraction stays equal:
16/25
= 16*4/25*4
= 64/100
= 64%
So, the answer is 64% of Stephanie's classmates.
Hope this helps!
I believe it would be the first option.
Answer:
107°
73°
Step-by-step explanation:
Let the two supplementary angles be x° and y°.
x + y = 180....(1)
Since, supplementary angles differ by 34.
Therefore,
x - y = 34....(2)
Adding equations (1) & (2)
x + y = 180
x - y = 34
_________
2x = 214
x = 214/2
x = 107°
Plug x = 107 in equation (1)
107 + y = 180
y = 180- 107
y = 73°