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BaLLatris [955]

3 years ago

13

How many different committees can be formed from 9 teachers and 30 students if the committee consists of 4 teachers and 2 stude

nts?

1 answer:

lora16 [44]3 years ago

8 0

Answer:

Step-by-step explanation:

number of committees=9C4×30C2

=(9×8×7×6)/(4×3×2×1)×(30×29)/(2×1)

=63×30×29

=54810

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What is the solution to the inequality -6x<54

german

Answer:

x > − 9

Step-by-step explanation:

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3 years ago

The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible length

Mademuasel [1]

Answer:

10.2 inches

Step-by-step explanation:

we know that

In this problem we have two cases

First case

The given lengths are two legs of the right triangle

so

$a=12\ in, b=15\ in$

Applying the Pythagoras Theorem

Find the length of the hypotenuse

$c^{2}=a^{2} +b^{2}$

substitute

$c^{2}=12^{2} +15^{2}$

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$c=19.2\ in$

Second case

The given lengths are one leg and the hypotenuse

so

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Applying the Pythagoras Theorem

Find the length of the other leg

$b^{2}=c^{2} - a^{2}$

substitute

$b^{2}=15^{2} - 12^{2}$

$b^{2}=81$

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Find the difference between the two possible lengths of the third side of the triangle

so

$19.2-9=10.2\ in$

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4 years ago

Read 2 more answers

a 204 inch board is cut into two pieces. one piece is five times the length of the other.find the lengths of the two pieces

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Solution along with work is included in attachment.

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4 years ago

What fraction of the rectangle is shaded? write the answer as a rational expression in simplified form.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago