6x6x6=216
3.14x(2)^2=12.57
216-12.57=203.43
The process is to find the volume of the cube then subtract the volume of the cone inside it.
Answer:
D. ⅘
Step-by-step explanation:
According to the acronym for trig ratio, SOHCAHTOA, we know that:
![sin (\theta) = \frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%20sin%20%28%5Ctheta%29%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20)
In the triangle given,
Opposite = √(20² - 12²) = √256 = 16
Hypotenuse = 20
Thus:
![sin (\theta) = \frac{16}{20}](https://tex.z-dn.net/?f=%20sin%20%28%5Ctheta%29%20%3D%20%5Cfrac%7B16%7D%7B20%7D%20)
Simplify
![sin (\theta) = \frac{4}{5}](https://tex.z-dn.net/?f=%20sin%20%28%5Ctheta%29%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20)
Answer:
The exponent of y is 1
Step-by-step explanation:
Given
![\sqrt{y^2](https://tex.z-dn.net/?f=%5Csqrt%7By%5E2)
Required
Convert to fractional exponent
Here, we simply apply the following law of indices:
![\sqrt{x^m} = x^{\frac{m}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5Em%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7B2%7D%7D)
So, the expression becomes:
![\sqrt{y^2} = y^{\frac{2}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7By%5E2%7D%20%3D%20y%5E%7B%5Cfrac%7B2%7D%7B2%7D%7D)
![\sqrt{y^2} = y^1](https://tex.z-dn.net/?f=%5Csqrt%7By%5E2%7D%20%3D%20y%5E1)
![\sqrt{y^2} = y](https://tex.z-dn.net/?f=%5Csqrt%7By%5E2%7D%20%3D%20y)
<em>From the above expression, the exponent of y is 1</em>
I believe the answer is football.