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Jet001 [13]
3 years ago
10

The measurement of a central angle is 75. Find the measurement of in radians

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0
Circumference = 360 degrees 
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>

<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>

<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>

<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>

<span>75 deg. ≈ 1.308997 radians</span>
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melissa purchased a car at the price of 20,540 with a down payment of 3,900 and financed the rest paying 8.6% interest compounde
DaniilM [7]

Answer:

$478.06

Step-by-step explanation:

let's first start out by figuring out the present value of the loan

((20540*1.0825)+955+57)-3900

Which gives me a value of 23246.55

I'm then going to assume that the 8.6% is a nominal interest rate meaning that the effectively monthly rate is equal to .086/12=.0072

Which means we have

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Solve this and get $478.06

6 0
3 years ago
5. When choosing a movie to watch on Netflix, 45% of them are comedies, 30%
baherus [9]

The probability of choosing a horror movie or a comedy is 75%.

<h3>What are probabilities?</h3>

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

<h3>What is the probability of choosing a horror movie or a comedy?</h3>

45% + 30% = 75%

To learn more about probability, please check: brainly.com/question/26321175

4 0
2 years ago
What is 4/5 divided 1/3
vova2212 [387]
The answer would be 2.4, or in fraction form 12/5. Please mark brainliest <3
5 0
3 years ago
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Ellen read a book a day for 10 weeks. How many books did<br> she read in all?
a_sh-v [17]

1 week = 7 days

10 weeks = 10×7 days

= 70 days

if Ellen reads 1 book in a day

Therefore,

1 day = 1 book

70 days = 70×1

= 70 books.

Thus Ellen reads 70 books in 10 weeks.

Hope helps

8 0
2 years ago
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A toy train car is 6 in. long. If a real train car is 75 ft long, which of the following have the same constant of proportionali
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use this

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