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vesna_86 [32]
3 years ago
14

Fill the blank with , or = please help quick!

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer:

44. answer = a. (<)

45. answer = b. (>)

Step-by-step explanation:

To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.

So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:

10 / sin(mQRW) = 17 / sin(mRWQ)

sin(mQRW) / sin(mRWQ) = 10 / 17

The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)

In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:

15 / sin(mRTW) = 8 / sin(mTWR)

sin(mRTW) / sin(mTWR) = 15 / 8

If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)

Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.

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Answer:

The length of the box is 10 feet.

Step-by-step explanation:

You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10

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3 years ago
PLEASE HELP QUICKLY!!! A student's parents offer him one of two options to receive scholarship money for college.
emmainna [20.7K]

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

Step-by-step explanation:

Option A Versus Option B

Option A                                                Option B

Day Amount Deposited                        Day Amount Deposited

0     $40,000.00                                    0       $1.00

1      $40,250.00                                     1        $2.00

2      $40,500.00                                    2       $4.00

...

30   $47,500                                          16      $65,536.00

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

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3 years ago
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Step-by-step explanation:

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for example, say you have

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Now list all your twelves

12, 24, 36, 48, 60

to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

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to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

2/4 and 8/12 turns into

6/12 and 8/12

and that's how you find it, let me know if you have questions :)

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