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2 years ago

7

There are 12 cars contesting a race. The first three cars completing the race will be awarded prizes. In how many ways can the p

rizes be awarded?

1 answer:

Sergio039 [100]2 years ago

5 0

There would be 1,320 different ways, just multiply all the possible front runners 12 second runners 11 and third runners 10, 12x11x10=1,320

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2 years ago

Read 2 more answers

P and Q are similar hexagonal pyramids. The scale factor of P to Q is 6 : 1. If the volume of Q is 8 cubic yards, find the volum

tatiyna

Answer:

The volume of P is <u>1728 cubic yards.</u>

<u></u>

Step-by-step explanation:

For similar shapes, the ratio of volumes are defined as:

$\frac{V_{1} }{V_{2}}$ = $(\frac{h_{1} }{h_{2}}) ^{3}$

where h1 and h2 are the heights of each pyramid respectively.

We know that the scale factor of P to Q is 6:1 i.e. the ratio of heights is also 6:1. And the volume of Q is given as 8 cubic yards. so, using the relation defined above we can write:

$\frac{V_{P} }{V_{Q}}$ = $(\frac{h_{P} }{h_{Q}}) ^{3}$

$\frac{V_{P} }{8}$ = $(\frac{6}{1} )^{3}$

Vp = 6³ * 8

= 216 * 8

Vp = 1728 cubic yards

The volume of P is <u>1728 cubic yards.</u>

8 0

2 years ago