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Rainbow [258]
3 years ago
8

D) IF 16 PEOPLE PARTICIPATED IN A RACE, HOW MANY WAYS CAN THEY PLACE 1st, 2nd, AND THIRD? +

Mathematics
2 answers:
GrogVix [38]3 years ago
5 0
<h3>Answer:   3360</h3>

=========================================================

Explanation:

There are 16 ways to pick the first place winner, 15 for second place, and 14 for third place. Each time we count down by 1 because no single person can be in two (or more) places at once.

Overall, this leads to 16*15*14 = 3360 different permutations

Dovator [93]3 years ago
3 0
3360 because I had this question before
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Step-by-step explanation: Please find the attached files for the solution

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makvit [3.9K]
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3 years ago
Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Aliun [14]

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

Part 3) A=28.9\°

Part 4) C=90\°

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

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

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

c=21.9\ units

step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

B=arctan(19.2/10.6)=61.1\°

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

C=90\°

substitute

A+61.1\°+90\°=180\°

A=28.9\°

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3 years ago
After collecting the variables on the left side of the equation, the coefficient of the x term will be?
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Answer:

56

Step-by-step explanation:

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