Answer:
216 cm^3
Step-by-step explanation:
I am assuming this is a right triangular prism
V = area of the base * height
We need to find the area of the triangular base
A triangle = 1/2 b*h
= 1/2 (12)4
= 24
Substituting this into the volume equation
V = 24 * 9
216 cm^3
Answer:
A
Step-by-step explanation:
So we have the equation:

First, let's subtract 16 from both sides:

Now, let's divide both sides by 3:

Remember that with fractional exponents, we can move the denominator into the root position. Therefore:
![(\sqrt[3]{x-4})^4=16](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx-4%7D%29%5E4%3D16)
Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!
![\sqrt[3]{x-4} =\pm 2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-4%7D%20%3D%5Cpm%202)
Cube both sides. Since we're cubing, the plus-minus stays.

Add 4 to both sides.

Calculator:

So, our answer is A.
And we're done!
Let x be the angle. The complement is 3x + 10. The sum of two complementary angles is 90. So,
x + 3x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
Plug x into the complement
3(20) + 10 = 70
The angle is 20 degrees and the complement is 70 degrees
Answer:
$31.5
Step-by-step explanation: