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Zielflug [23.3K]
3 years ago
14

Find the total surface area of the following prism.

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

684in^2

Step-by-step explanation:

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The answer is 1.33333333
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M-(10)=-20
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The answer is -10. I think about negative numbers on a number line with numbers being behind and in front of the zero. To check the answer you can imagine being on -10 and when it says to minus a number you always know that it’s going to go further into the negative. So -10-10 is -20.
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What is the perimeter of a regular decagon with sides of 14 inches?​
photoshop1234 [79]

Answer:

140 inches

Step-by-step explanation:

one decagon has 10 sides

14*10= 140

6 0
3 years ago
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?
Alecsey [184]

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

7 0
3 years ago
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