Answer:
3^2
Step-by-step explanation:
When multiplying, add the powers.
When dividing, minus the powers
3^3 * 3^3 / 3^4 = 3^(3 + 3 - 4) = 3^2
Solution:
<u>Note that:</u>
- Area of triangle = 6 3/8 yd²
- Height of triangle = 2 1/2
- Area of triangle = 1/2 x base x altitude
<u>Use the formula to find the base of the triangle.</u>
- 1/2 x base x altitude = 6 3/8 yd²
- => 1/2 x base x 2 1/2 = 6 3/8 yd²
- => 1/2 x base x 5/2 = 6 3/8 yd²
- => 5/4 x base = 6 3/8 yd²
- => base = 6 3/8 ÷ 5/4 yd
- => base = 51/8 x 4/5 yd
- => base = 51/2 x 1/5 yd
- => base = 51/10 yd
The length of the base is 51/10 yards.
![V=36\pi\ ft^3\\\\V=\dfrac{4}{3}\pi r^3\\\Downarrow\\\\\dfrac{4}{3}\pi r^3=36\pi\ \ \ |:\pi\\\\\dfrac{4}{3}r^3=36\ \ \ |\cdot3\\\\4r^3=108\ \ \ \ |:4\\\\r^3=27\to r=\sqrt[3]{27}\to r=3\ ft](https://tex.z-dn.net/?f=%20V%3D36%5Cpi%5C%20ft%5E3%5C%5C%5C%5CV%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5CDownarrow%5C%5C%5C%5C%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%3D36%5Cpi%5C%20%5C%20%5C%20%7C%3A%5Cpi%5C%5C%5C%5C%5Cdfrac%7B4%7D%7B3%7Dr%5E3%3D36%5C%20%5C%20%5C%20%7C%5Ccdot3%5C%5C%5C%5C4r%5E3%3D108%5C%20%5C%20%5C%20%5C%20%7C%3A4%5C%5C%5C%5Cr%5E3%3D27%5Cto%20r%3D%5Csqrt%5B3%5D%7B27%7D%5Cto%20r%3D3%5C%20ft%20)
Answer: The radius r = 3 ft.
