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dexar [7]
3 years ago
6

Question 3(Multiple Choice Worth 5 points)

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Answer:

  • C Multiply each side by −8, subtract 35 from each side

Step-by-step explanation:

<u>Solving the equation:</u>

  • -1/8(x + 35) = -7

<u>Multiply both sides by -8:</u>

  • x + 35 = 56

<u>Subtract 35 from both sides:</u>

  • x = 56 - 35
  • x = 21

Correct answer choice is C

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How to find the area of the shaded areas and to round the nearest hundredth please and thank you it help me a lot if you could a
andrew-mc [135]
<h3>Please Read Through This, Answers are Listed.</h3>

As a heads up, this post is going to be <u>very long</u>.

So to do these questions, first know what you need to do.

<em>Goals to do:</em>

1 - Find the area of the circle

2 -Find how much of it is shaded

3 -Find the shaded's area.

So, the first goal is to find the area of the circle, well that's fairly simple. Just do pi r². (r stands for the radius)

<u><em>With the first question</em></u>, they list the length GH as 11 inches. So just plug it in!

pi 11² ---> pi * 121 ---> ≈380.13

Next, find the amount that is shaded. So with that, look at the angle inside the circle, it is 64°. By knowing that the whole circle is 360°, just do 64/360 to find the an "important number".

64/360 ---> 0.17777777...

By using this important number and multiplying it with your total circle area, you'll get your answer.

380.13 * 0.17777777... ---> ≈ 67.6in² (QUESTION 1 ANSWER)

And then just do the same with the rest...

<em><u>Question 2:</u></em>

pi 22² ---> pi * 484 ---> 1520.53

139/360 ---> 0.38611

1520.53 * 0.38611 ---> ≈ 587.09cm² (QUESTION 2 ANSWER)

<em><u>Question 3:</u></em>

pi 3² ---> pi * 9 ---> 28.27

84/360 ---> 0.2333...

28.27 * 0.2333 ---> ≈6.60mm²  (QUESTION 3 ANSWER)

<u><em>Question 4:</em></u>

pi 14.2² ---> pi * 201.64 ---> 633.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 87 ---> 273/360 ---> 0.7583333

633.47 * 0.7583333 ---> ≈480.38m² (QUESTION 4 ANSWER)

<u><em>Question 5:</em></u>

pi 9² ---> pi * 81 ---> 254.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 42 ---> 318/360 ---> 0.88333

254.47 * 0.88333 ---> ≈224.78in² (QUESTION 5 ANSWER)

<u><em>Question 6:</em></u>

pi 28² ---> pi * 784 ---> 2463.01

115/360 ---> 0.319444

2463.01 * 0.319444 ---> ≈786.79m² (QUESTION 6 ANSWER)

<u><em>Question 7:</em></u>

pi 32.5² ---> pi * 1056.25 ---> 3318.31

29/360 ---> 0.080555

3318.31 * 0.080555 ---> ≈267.31ft² (QUESTION 7 ANSWER)

<u><em>Question 8</em></u>

pi 29.5² ---> pi *870.25 ---> 2733.97

***Because the angle is in the blank space, subtract it from 360 first before continuing. Along with that, the angle has a square in place of a number, meaning that it is a right angle, or 90°.

360-60 ---> 270/360 ---> 0.75

2733.97 * 0.75 ---> 2050.48mi² (QUESTION 8 ANSWER)

<h3><em /></h3><h3><em>Okay, that's all!</em></h3>

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