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iVinArrow [24]
4 years ago
5

Find the surface area of a cylinder with a diameter of 10 and a height of 45. Use 3.14 for pie. Round your answer to the nearest

tenth.
A) 1575
B) 1573
C) 1570
D) 1569
Mathematics
2 answers:
MissTica4 years ago
8 0
Area = 2(Pi)rh + 2(Pi)r^2
r = 5
h = 45
Pi = 3.14

2(3.14)(5)(45) + 2(3.14)(25)
1413 + 157 = 1570

Answer: C
BaLLatris [955]4 years ago
8 0
A=2\pirh+2\pir^{2}=2*\pi*5*45+2*\pi*5^{2}≈1.57079633
The answer is C) 1570
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A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
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Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

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For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

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2 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

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