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antiseptic1488 [7]
3 years ago
9

There are 5 swimmers in a race. There will be a first-place, a second-place, and a third-place prize awarded. In how many differ

ent ways can the 3 prizes be awarded?
Mathematics
1 answer:
IrinaK [193]3 years ago
5 0
3 prizes for the first three people/ winners
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Answer:

tan(\alpha)=-\frac{\sqrt{35}}{5}

Step-by-step explanation:

Tan can be defined as: \frac{sin(\theta)}{cos(\theta)} as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.

Using this we can define tan

sin(\alpha)=-\sqrt{7}\\cos(\alpha)=\sqrt{5}\\\\tan(\alpha)=-\frac{\sqrt{7}}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}\\tan(\alpha)=-\frac{\sqrt{7*5}}{5}\\tan(\alpha)=-\frac{\sqrt{35}}{5}\\

8 0
2 years ago
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The answer is 34°

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Asir borrowed money from his parents to purchase a video gaming system for $473.89(including tax). About how much are his monthl
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Step-by-step explanation:

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What is the solution to x 3 + x 2 ≤ 10x – 8? {–4, 1, 2} (–ꝏ, –4] (–ꝏ, –4) U [1, 2] (–ꝏ, –4] U [1, 2]
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(–ꝏ, –4] U [1, 2] or D

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Answer for edgenuity

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