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pochemuha
3 years ago
13

What is a positive angle less than 360 degrees that is conterminal with 540 degrees

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

Please check the explanation.

Step-by-step explanation:

As we have to determine a positive angle less than 360 degrees that is conterminal with 540 degrees.

so

  • Subtract 360° from 540°

540° - 360° = 180°

The resulting angle of 180° is positive, less than 360°, and coterminal with 540°.

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If Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book. If he reads 24 pages
JulijaS [17]

Answer:

Total number of pages is 540.

Step-by-step explanation:

Let mark read x be he number of pages per day and d be the number of days to finish the book.

Total number of pages = xd

Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.

(x-18)(d+5)=xd

xd+5x-18d-90=xd

5x-18d=90            .... (1)

He reads 24 pages less per day, he will need 8 extra days to finish.

(x-24)(d+8)=xd

xd+8x-24d-192=xd

8x-24d=192

x-3d=24       ... (2)

Subtract 5 times of equation (2) from equation (1).

5x-18d-5(x-3d)=90-5(24)

5x-18d-5x+15d=90-120

-3d=-30

d=10

Substitute d=10 in equation (1).

5x-18(10)=90  

5x-180=90  

5x=90+180

5x=270

Divide both sides by 5.

x=54

Total number of pages

xd=(54)(10)=540

Therefore , the total number of pages is 540.

3 0
3 years ago
I need to show the work for 48÷1,261
Ksju [112]
Okay so 48 would be in and 1,261 would be out and do the math
7 0
4 years ago
Read 2 more answers
The Green family is a family of six people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 9,750
IRINA_888 [86]

Answer:

C. 6x+4885.78<9750.05

=

Step-by-step explanation:

7 0
3 years ago
Micheal's mean score for five tests was 82. if four of those tests were 83,75,93, and 67, what was the fifth score on his test?
bezimeni [28]

Let T represent the fifth test score. The average is the sum of scores divided by their number.

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The fifth score was 92.

_____

One of the ways I like to work problems like these is to add the differences from the mean. Those are ...

1, -7, 11, -15

so their sum is -10.

The final score must be 10 above the mean in order for this total to be zero. 10 above the mean is 92.

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3 years ago
Write an equation of a line parallel to line EF in slope-intercept form that passes through the point (2, 6).
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its y= -2/3x + 22/3

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