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.
(y + z)³
in expanded form: (y + z) (y + z) (y + z)
y(y + z) + z(y + z) 1st and 2nd set
y² + yz + yz + z² product of 1st and 2nd set
(y² + 2yz + z²)(y + z) multiply with 3rd set
y(y² + 2yz + z²) + z(y² + 2yz + z²)
y³ + 2y²z + yz² + y²z + 2yz² + z³
y³ + 2y²z + y²z + yz² + 2yz² + z³ Group like terms.
y³ + 3y²z + 3yz² + z³ Product of 1st, 2nd, and 3rd set ...2nd CHOICE
Answer:
Choice A. x = y
Step-by-step explanation:
x and y are alternate interior angles.
Theorem:
If parallel lines are cut by a transversal, then alternate interior angles are congruent.
Answer: Choice A. x = y
Answer:
Step-by-step explanation:
To move the graph 6 units to the right, subtract 6 in the absolute value.
y=|x+5-6|
To move it up, add 2 outside the absolute value.
y=|x+5-6|+2
Now remove the absolute values since x>1.
y=x+5-6+2
y=x+1
I hope this is in dollars. Remember to always put a label on a number. Who knows, maybe this person paid in bananas.
$45+$60+$7= $112.
