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Phantasy [73]
3 years ago
7

Find the lateral surface area of prism when the bases are 6 and 2 and the height is 10

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

160 cm^{2}

Step-by-step explanation:

The lateral surface area is the area of the considered plane side of a given figure or shape. To calculate that of a prism, it is the product of the base of a prism and its height.

Thus for the given prism;

lateral surface area = (perimeter of its base) x height

perimeter of the base = 6 + 6 + 2 + 2

                                     = 16

Lateral surface area of the prism = 16 x 10

                                     = 160 cm^{2}

Therefore, the lateral surface area of the prism is 160 cm^{2}.

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What is the slope between (2,4) and(3,-6)
RSB [31]

Answer:

2/5

Step-by-step explanation:

m=change in y/change in x

m=y_{2} - y_{1}/x_{2}-x_{1}

m = 6-(4)/3-(-2)

m=2/3-(-2)

m= 2/3+2

m=2/5

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3 years ago
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An education budget went from $800,000 to $900,000. What is the approximate percent increase?
just olya [345]
The increase would be possibly about by 100,000 dollars, but if you were to take it as a decimal as a millionth, it would go up by 10 percent.
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3 years ago
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What is the geometric mean between 7 and 12
Tresset [83]

Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

b = 12

Geometric mean = root(ab)

= root( 7 x 12)

= root(84)

= 9.17

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3 years ago
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The snack shop makes 3 mixes of nuts in the following proportions.
Julli [10]

Answer:

A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}

B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}

Step-by-step explanation:

It is given that the snack shop makes 3 mixes of nuts in the following proportions.

Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.

Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.

Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.

they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.

We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.

                      Mix I             Mix II              Mix III

peanuts             6                  5                    3

cashews            2                  3                    4

pecans              2                   2                    2

A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}

B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}

The product of both matrices is

AB=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}

AB=\begin{bmatrix}6\cdot \:25+5\cdot \:18+3\cdot \:35\\ 2\cdot \:25+3\cdot \:18+4\cdot \:35\\ 2\cdot \:25+2\cdot \:18+3\cdot \:35\end{bmatrix}

AB=\begin{bmatrix}345\\ 244\\ 191\end{bmatrix}

Therefore matrix AB gives the total number of lbs of each nut required to fill the order.

8 0
4 years ago
A survey was conducted on 37 people so find out the colours that they like. It was found that 20 people like red, 22 people like
Lana71 [14]
(20 + 22 + 17) - 7 - 12 - (9 - x) = 37;

59 - 19 - 9 + x = 37;

31 + x = 37;

x = C) 6
8 0
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