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Ivenika [448]
3 years ago
10

Stassi is making a structure that is in the shape of a square pyramid. One of the side of the square base is 11 in. long and the

volume of the pyramid is 605 in³. What is the height of the pyramid?
Mathematics
2 answers:
Andreyy893 years ago
7 0

Answer:

Height of the pyramid is 15 in.

Step-by-step explanation:

Stassi is making a structure in the shape of a square pyramid.

One side of the square base is 11 in. and volume is given as 605 in³

We have to calculate the height of the pyramid.

Since volume of pyramid is represented by

V = \frac{1}{3} [area of Base] × height.

Now we plug in the values in the formula

605 = \frac{1}{3} [ 11 × 11 ] × h

h = \frac{605\times 3}{121} = 15 in.

Therefore, height of the pyramid is 15 in.

muminat3 years ago
4 0

The height of the pyramid is 15in

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Mr. Hughes gave 5/14
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Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

\frac{5}{14} + \frac{2}{3}(\frac{9}{14})

As \frac{9}{14} is the remained that his son did not get. So

\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}

Fraction his wife got:

1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}

If his wife got $900, what were his savings?

Total savings are x, wife got \frac{9}{42} of x. So

\frac{9x}{42} = 900

9x = 900*42

x = \frac{900*42}{9}

x = 100*42

x = 4200

His savings were of $4,200.

5 0
3 years ago
Calculate the measure of the major arc MPN.
34kurt

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

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The measure of major arc MPN is 310°.

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2 years ago
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Mazyrski [523]

Answer:

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Step-by-step explanation:

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Answer:

(3x-5-7x^{2} )-(-2+6x^{2} -5x)

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It takes 12 apples to make 2 cups of apple sauce. If 72 apples are used, what is the greatest number of cups of apple sauce that
Klio2033 [76]

Answer:

12

Step-by-step explanation:

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Take the number of apples and divide it by 6 in order to find out the number of cups that can be made.

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