We need to solve for the radius
circumference = radius * 2 * PI
radius = circumference / (2*PI)
radius = 4.5 / (
<span>
<span>
<span>
6.2831853072
</span>
</span>
</span>
)
radius =
<span>
<span>
<span>
0.7161972439
</span>
</span>
</span>
feet
Formula for cylinder volume:
<span>Volume = </span><span>π • r² • height</span>
Volume = <span>π • (</span><span>
<span>
<span>
0.7161972439)^2 * 12
</span></span></span>Volume = PI * <span><span>0.5129384922
</span>
* 12
Volume </span><span><span><span>19.3373255857
</span>
cubic feet
</span> </span>
ANSWER
Katnis is right
EXPLANATION
We use the Remainder Theorem to check if she is right.
According to the Remainder Theorem, if the polynomial function,

is divided by x+1, then the remainder is given by

We substitute x=-1 into the function to obtain,

We simplify to get:



Katnis is right because the remainder is zero
6x + ( 3x - 9) = 90°( being complementary angles )
6x+3x -9 = 90°
9x = 90° + 9
x = 99 / 9
x = 11
Step-by-step explanation:
(y+7)/(-9+7) = (x+10)/(-5+10)
(y+7)/(-2) = (x+10)/5
5(y+7)=-2(x+10)
5y+35= -2x-20
the equation :
5y=-2x-20-35
devided by 5
=> y = -2/5 x - 11
or y = -0.4x - 11