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Arlecino [84]
4 years ago
6

Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in.

The second pyramid has a height of 84 in. What is the side length of the base of the second pyramid?
Mathematics
2 answers:
Nezavi [6.7K]4 years ago
8 0

Answer:

10 inches

I don't feel like explaning it but trust me, this is the answer.

Mrrafil [7]4 years ago
3 0
The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
                          V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
                        (20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches. 
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vlabodo [156]

Answer:

-1/12

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(-21-15)

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4 0
3 years ago
The area of a trapezium is 31.5 cm². If the parallel sides are of length 7.5 cm and 5.3 cm, calculate the perpendicular distance
spin [16.1K]

Answer:

<h3>The answer is 4.9cm</h3>

Step-by-step explanation:

To find the perpendicular distance between them that's the height we use the formula

Area \:  \: of \:  \: a \:  \: trapezium =  \frac{1}{2} (a + b) \times h

where

a and b are the parallel sides of the trapezium

h is the perpendicular distance

From the question

Area = 31.5cm²

a = 7.5 cm

b = 5.3 cm

Substituting the values into the above formula we have

31 .5 =  \frac{1}{2} (7.5 + 5.3) \times h

31.5 =  \frac{1}{2}  \times 12.8h

31.5 = 6.4h

Divide both sides by 6.4

h =  \frac{31.5}{6.4}

h = 4.921875

We have the final answer

<h3>h = 4.9cm</h3>

Hope this helps you

4 0
3 years ago
Please help with me with #6
emmainna [20.7K]
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3 years ago
Jaquez bought a new tablet that retails for $199. If the store is currently
natta225 [31]

Answer:

$ 158.95

Step-by-step explanation:

Reduction = 25% of 199

                = 0.25 * 199

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Price of the tablet after reduction = 199 - 49.75 = $ 149.25

Sales tax = 6.5% of 149.25

              = 0.065 * 149.25

              = $ 9.70

Total price that he need to pay = 149.25 + 9.70

                                                      = $ 158.95

5 0
3 years ago
Read 2 more answers
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