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Kobotan [32]
3 years ago
11

A right triangle ABC is similar to triangle PQR such that the hypotenuse BC=10 and the hypotenuse QR=4. If AC=8, then what is th

e length of PR? Round your answer to the nearest tenth.
Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

PR = 3.2

Step-by-step explanation:

We can use proportions to solve this problem.  Put the first triangle side over the second triangle side.

BC           AC

-------- = ----------

QR            PR

Substituting in values

10          8

-------- = ----------

4            PR

Using cross products

10 PR = 8*4

10 PR = 32

Divide by 10

10 PR/10 = 32/10

PR = 3.2

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Brenda took out a personal loan for $12,000 at an interest rate of 12% compounded monthly. She made arrangements to pay the loan
iragen [17]

Answer: her monthly payments would be $267

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $12000

r = 0.12/12 = 0.01

n = 12 × 5 = 60

Therefore,

P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]

12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]

P = 12000/{1.817 -1}/[0.01(1.817)]

P = 12000/(0.817/0.01817)

P = 12000/44.96

P = $267

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3 years ago
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Brrunno [24]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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ale4655 [162]
Y=-3/2x+4

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Describe in words where the square root of twenty-four would be plotted on the number line.
Rzqust [24]

The square root of 24 would be plotted between 4 and 5, but closer to 5 on a number line.

<h3>What is a number line?</h3>

A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will dictate how you answer the number on the line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, denoted by \mathbb {R}. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

Number lines are extremely adaptable, that can be used to locate numbers, compare numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and much more.

The square root of \sqrt{24}=4.899, which is between 4 and 5, but closer to 5 on a number line.

To learn more about number lines, refer:

brainly.com/question/25230781

#SPJ4

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