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3 years ago

Find the area of this figure.

Mathematics

1 answer:

umka2103 [35]3 years ago

6 0

Rectangle

l = 7.2 - 1.7 = 5.5 ft b = 3.4 ft

Semicircle

r = 1.7 ft

Shaded region = area of rectangle + area of semicircle

= l x b + πr²/2

= 5.5 x 3.4 + 3.14 x 1.7 x 1.7 x 1/2

= 18.7 + 4.5373

= 23.2373 ft²

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How many ways can a dance instructor send 4 of her 11 students to a summer dance program?

Sedaia [141]

Answer:

d) 330

Step-by-step explanation:

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)

That is $11_{C_{4} }$ ways

by using formula $n_{C_{r} } = \frac{n!}{(n-r)!r!}$

now simplification

$11_{C_{4} } = \frac{11!}{(11-4)!4!}$

= $\frac{11X10X9X8X7!}{(7!)4X3X2X1}$

after cancelling 7! and on simplification

= $\frac{11X10X9X8}{4X3X2X1}$

after cancellation we get 330 ways

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330

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Answer:

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