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ad-work [718]
3 years ago
6

Consider the circle with a 4 centimeter radius. If the length of major arc RT is 64 9 π, what is the measure of ∠RST?

Mathematics
2 answers:
grin007 [14]3 years ago
8 0
25 degrees is the correct answer
Drupady [299]3 years ago
6 0

Answer: The answer in 20° in USA TestPrep

Step-by-step explanation:

S=2πr× n°/360°

n°=360s/2πr= 360(64π/9)/2π(4)=320

This,∆H=360-320=40

Then, ∆RST=1/2 ∆H= 1/2(40)=20

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There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}

Imaginary numbers:
Using the result from earlier:
21-i-2i^{2}
Now since i = \sqrt{-1}, then the expression becomes:
21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i
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SSSSS [86.1K]
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You have $5,000 to invest for ten years. The Bank pays simple interest at an annual rate of 5%. Calculate your balance after 10
Mazyrski [523]

Answer: $7,500

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Use the formula: SI = P(1 + rt)

SI = 5000(1 + 0.05[10])

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After 10 years, your balance should be $7,500

3 0
2 years ago
What happens to a line getting closer to a horizontal asymptote
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A map of a park says its scale is 1 to 100. What does that mean?
Alex777 [14]

A scale is a term that refers to the <em>representative fraction</em> for comparing the <u>original</u> length and <u>image</u> length of a given <u>object</u>. It means implies that every 1 unit on the <u>drawing</u> is equal to <u>100</u> units on the <u>park</u>.

A <em>scale</em> is a term that can be referred to as the <em>representative fraction</em> that compares the <u>original</u> length and <u>image</u> length of a given <em>object</em>. Types of <u>scale</u> include enlarged scale, reduced scale, and real scale.

  • Enlarged scale is a <u>scale</u> that is used when the <u>size</u> of a given <em>object</em> is to be <em>increased</em>.
  • <em>Reduced scale</em> is used when the <u>size</u> of a given <u>object</u> is to be <em>decreased</em>.
  • <u>Real scale</u> implies the <em>exact size</em> of a given <u>object</u>.

<u>Scale</u> can be expressed as;

Scale = \frac{length on drawing}{original length}

Thus a <em>scale</em> has no unit.

Therefore, the given question <em>implies</em> that every 1 unit on the <u>drawing</u> is equal to 100 units on the <u>original</u> park. Thus it is a <em>reduced scale</em>.

For more clarifications on a scale drawing, visit: brainly.com/question/23209981

#SPJ1

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