Plz answer question in screen shot

Mathematics

1 answer:

liberstina [14]3 years ago

6 0

Answer:

tan theta = 2 sqrt(5) /15

Step-by-step explanation:

sin theta = opp / hypotenuse

sin theta = 2/7

We can use the Pythagorean theorem to find the length of the adjacent side

a^2 + b^2 = c^2

2^2 +adj^2 = 7^2

4 + adj^2 = 49

adj ^2 = 49-4

adj^2 = 45

Taking the square root of each side

adj = sqrt(45) = sqrt(9*5) =sqrt(9) sqrt(5) = 3 sqrt(5)

The tan theta = opp/ adj

tan theta = 2 / 3 sqrt(5)

Multiply by sqrt(5) / sqrt(5)

= 2 sqrt(5) / 3 *5

= 2 sqrt(5) /15

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Scott took out a 4-year car loan for $5,500. He paid back a total of $7,370. What interest rate did he pay for this loan?

elena-14-01-66 [18.8K]

Amount of car loan taken by Scott = $5500
Amount of loan paid back by Scott = $7370
Then
Amount of money paid as interest by Scott = (7370 - 5500) dollars
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Then
Percentage of interest given for the car loan = (1870/5500) * 100
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So Scott had to pay a total interest rate of 34% in the four years.I hope the procedure is simple enough for you to understand and solve future problems.

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3 years ago

What is the average of 4 1/2, 3 1/3, 2 , 2 1/6

Zinaida [17]

Answer:

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

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