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den301095 [7]
2 years ago
8

8. Peter and his partner are conducting a physics experiment on pendulum motion. Their 30-cm

Mathematics
1 answer:
katrin2010 [14]2 years ago
8 0

Answer: 90/pi degrees

Step-by-step explanation:

It forms a 15cm arc from a circle of radius 30 cm.

The diameter is 30*2*pi = 60pi cm. So the arc is 15/60pi = 1/4pi of the way around a 360 degree circle. This is 1/4pi * 360 = 90/pi degrees.

Hope that helped,

-sirswagger21

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- In the following diagram of triangle QRS, QR = 8 and QS = 17. Determine the value of sin Q. Show how you
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Answer:

SinQ=\frac{15}{17}

Step-by-step explanation:

We draw the right triangle as shown in the image attached.

Δ QRS

Where R is the right angle

Given

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Now, using Pythagorean Theorem, we can find RS:

QR^2+RS^2=QS^2\\8^2+RS^2=17^2\\RS^2=17^2-8^2\\RS^2=225\\RS=\sqrt{225}\\RS=15

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Sin(\theta)=\frac{Opposite}{Hyotenuse}

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So,

SinQ=\frac{15}{17}

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Chuck has a gross pay of $815.70. His gross pay will be reduced by:

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Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.

3. Federal tax of $56 - 100%,

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