Answer:
48 yd^3.
Step-by-step explanation:
Volume of a pyramid = 1/3 * height * area of the base.
The area of the triangular base = 1/2 * height * base = 1/2*6*8
= 24 yd^2.
So the volume of the figure
= 1/3 * 6 * 24
= 2*24
= 48 yd^3.
Answer:
10.9451≈10.9 feet
Step-by-step explanation:
sinT= hypotenuse/ opposite = x/5.8
sin32= x/5.8
x*sin 32=5.8
x=5.8/sin 32= <u>10.9451≈10.9 feet</u>
<u><em>780 students</em></u>
<u><em></em></u>
<em>Set up a proportion.</em>
<em />
<em>75 / 125 = x/1300</em>
<em />
<em>125 10.4 = 1300</em>
<em />
<em>75 * 10.4 = 780</em>
<em />
<em>x=780</em>
Answer:
0.96153846153
but it would make more sense in a lot of cases if it was 5.2/5
Step-by-step:
Given function: f(x) = (3x+5)/7
y = f(x) so it's the same as y = (3x+5)/7
Swap every copy of x and y to get x = (3y+5)/7
Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3
So the inverse function is f^(-1)(x) = (7x-5)/3
Answer is choice A
