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2 years ago

What is the volume of the regular pyramid below?

Mathematics

1 answer:

daser333 [38]2 years ago

3 0

The volume of the regular pyramid is 128 unit³.

Option D) 128 unit³ is the correct answer.

This question is incomplete, the missing image is uploaded along this answer below.

<h3>What is the volume of the regular pyramid?</h3>

The volume of pyramid is expressed as;

V = ( 1/3 ) × l × w × h

Given that;

Length l = 8
Width W = 8
Height h = 6

We substitute our given values into the equation above.

V = ( 1/3 ) × 8 × 8 × 6

V = 128 unit³

The volume of the regular pyramid is 128 unit³.

Option D) 128 unit³ is the correct answer.

Learn more about volume of pyramid here: brainly.com/question/17615619

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FIFTY POINTS - It took 4 hours for a biker to travel from one city to another going at a certain speed. On the return trip, the

Crazy boy [7]

Answer:

Either 200 km or 160 km.

Step-by-step explanation:

Distance = speed × time

Let x = the biker's normal speed

Then

(1) d = 4x

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(2) 4.5 = 100/x + (d -100)/(x - 10)

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4.5x(x - 10) = 100(x - 10) + x(4x -100) Multiplied each side by (x - 10)

4.5x² - 45x = 100x - 1000 + 4x² -100x Removed parentheses

4.5x² - 45x = -1000 + 4x² Cancelled terms

0.5x² - 45x = -1000 Subtracted 4x² from each side

0.5x² - 45x +1000 = 0 Added 1000 to each side

x² - 90x +2000 = 0 Multiplied each side by 2

(x - 50)(x - 40) = 0 Factored the quadratic

x - 50 = 0 x - 40 = 0 Applied zero product theorem

x = 50 x = 40

Substitute in (1)

d = 4 × 50 = 200 km; d = 4 × 40 = 160 km

The distance between the two cities is either 200 km or 160 km.

Check:

x = 50 x = 40

4.5 = 100/50 + (200 - 100)/(50 - 10) 4.5 = 100/40 + (160 - 100)/(40 - 10)

4.5 = 2 + 100/40 4.5 = 2.5 + 60 /30

4.5 = 2 + 2.5 4.5 = 2.5 + 2

4.5 = 4.5 4.5 = 4.5

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4 years ago

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Step-by-step explanation:

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Step-by-step explanation:

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