Answer:
9 inches
Step-by-step explanation:
base is rectangular in shape
Side of base of square pyramid is X inches
height of square pyramid is 1/9 X
Volume of any pyramid is 1/3 *(area of base* height of pyramid)
area of base of square pyramid = Side of base * Side of base
as area of square is equal to side * side
area of base of square pyramid = x* x square inches = 
Volume of pyramid = 1/3 *(area of base* height of pyramid)
substituting given value of of volume of pyramid , height of pyramid and area of base calculated above we have
![27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9](https://tex.z-dn.net/?f=27%20%3D%201%2F3%28x%5E2%29%2A%281%2F9%20x%29%5C%5C%5C%5C27%2A3%2A9%20%3D%20x%5E3%5C%5C729%20%3D%20x%5E3%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B729%7D%20%5C%5Cx%20%3D%209)
Therefor value of x is 9 inches.
Answer:
2/3
Step-by-step explanation:
0/0 is 0
1/2 is 1 of 2
2/3 is 2 of 3
3/4 is 3 of 4
hopefully it helps!
Answer:
$3,722.875
Step-by-step explanation:
It was stated that the $61,500 would be payed to Tim annually, therefore before we can calculate the deductions we would first have to divide the annual pay by 12 (months in a year). You would then find that Tim receives $5,125 each month. The total value of the deductions would be 21.7% ( 6.2 + 1.5 + 3 + 11 = 21.7). 21.7% of 5,125 is 1,112.125 therefore, we would subtract this value and the value for the insurance from his monthly pay to find his net paycheck per month [5,125 - (1,112.125 + 290) = $3,722.875]
Answer:
8x³ + 12x² - 16x - 16
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
Step-by-step explanation:
<u>Step 1: Define expression</u>
(4x² - 2x - 4)(2x + 4)
<u>Step 2: Simplify</u>
- Expand: 8x³ - 4x² - 8x + 16x² - 8x - 16
- Combine like terms (x²): 8x³ + 12x² - 8x - 8x - 16
- Combine like terms (x): 8x³ + 12x² - 16x - 16
