Answer: Letter Choice, (B) ====> 4,256 pi cm^2
Step-by-step explanation:
<u>Formula: Surface Area of Cylinder = (2pi ) (r^2 ) + 2pi (r) (h)</u>
<u>Showing Work:</u>
<u>Radius of the Base ===> 28cm</u>
<u>Height =====> 48cm </u>
(2pi ) (r^2) + 2pi (28)(48)
2 (pi) (r^2) + (circumference) (height)
2( pi) (r^2 + 2)( pi)(r)(h)
2 pi * (2) (r^2 + (2)(r)(h)
2pi * (r^2 + rh)
2(r)(pi)(r + h)
2( 28)(pi)(28 + 48)
56(pi)(76)
4256(pi)^2
<u>Therefore, Your Answer ======> Letter Choice; (B) ======> 4,256pi cm^2</u>
Hope that helps!!!!! : )
Answer:
-3(-3x + 4) = 9x - 12
Step-by-step explanation:
-3( Ax + 4) = 9x - 12
-3Ax -12 = 9x - 12
Equating coefficients of x terms on both sides :
-3A = 9
A = -3
Therefore, -3(-3x + 4) = 9x - 12
Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is

Since there are n logs in the pile, so we get

Thus, the total number of logs in the pile is 6.
Answer:
-4^4(4^7), in that case, the answer would be (B) -4^11
Step-by-step explanation:
Hope this helps
Answer:
x = 40
Step-by-step explanation:
The angles add to 180 degrees
30+110 +x = 180
Combine like terms
140 +x = 180
Subtract 140 from each side
140+x-140 =180-140
x = 40