Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.
We know that
[volume of a sphere]=(4/3)*pi*r³-------> r=∛[(3*Volume)/(4*pi)]
r=∛[(3*Volume)/(4*pi)]------> r=∛[(3*3052.08)/(4*pi)]----> r=∛729
r=9 cm
[volume of a cylinder]=pi*r²*h
r=9 cm
h=2*r----> 2*9 -----> 18cm
[volume of a cylinder]=pi*r²*h----->pi*9²*18---> 4578.12 cm³
the answer is
4578 cm³
Length of the rectangular patio = 12 1/2 feet
= 25/2 feet
Area of the rectangular patio = 103 1/8 square feet
= 825/8 square feet
Let us assume the width of the rectangular patio = x feet
Then
Area of the rectangular patio = Length * Width
825/8 = (25/2) * x
25x/2 = 825/8
25x = (825 * 2)/8 feet
25x = 825/4 feet
x = 825/(4 * 25) feet
= 33/4 feet
= 8 1/4 feet
So the width of the rectangular patio is 8 1/4 feet. I hope the procedure is clear enough for you to understand.
The answer to this question has to be D. 42.75 square inches.
The answer is 35 i think but i am not sure
