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Alexxandr [17]
2 years ago
7

What is the reference angle for 192º?​

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
3 0

Answer:

78º

Step-by-step explanation:

<u>Note</u> : -

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the

x - axis.

<u>S</u><u>t</u><u>e</u><u>p</u><u> </u><u>1</u> : -

Find where 192º lies in which quadrant.

192º lies in 3rd quadrant ( between

180º and 270º )

<u>S</u><u>t</u><u>e</u><u>p</u><u> </u><u>2</u> : -

Subtract : 270 - 192

270 - 192 = 78º

( Since, 192º is greater than 180º, is subtracted from 270º )

<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u> : -

78º is the reference angle for 192º.

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no

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3 years ago
Mark read 2 1/2 books last week. This week he read 3 1/3 books. How many more books did Mark read this week and last week?
nikklg [1K]

Answer:

5/6 books

Step-by-step explanation:

We know that Mark read 2 1/2 books last week. This week, he read a bit more with 3 1/3 books.

To find how many more books he read, we must subtract 2 1/2 from 3 1/3:

3 1/3 - 2 1/2

Let's convert these into improper fractions first:

3 1/3 = (3 * 3 + 1) / 3 = 10/3

2 1/2 = (2 * 2 + 1) / 2 = 5/2

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In order to subtract these, we must find a common denominator. For 2 and 3, the LCM is 6, so we can use that as our common denominator:

10/3 * 2/2 = 20/6

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20/6 - 15/6 = (20 - 15) / 6 = 5/6 books

5 0
3 years ago
Elisa had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among
zimovet [89]
She had 18 to start with because when you multiply 4 by 2 it’s 8, so then you add 8 to 10 which is 18.
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What percent of 18 is 4?
ZanzabumX [31]
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5 0
2 years ago
The marching band sold gift wrap priced at $4.00 per roll for solid colors and $6.00 per roll for print patterns. If they sold 4
Alex Ar [27]

Answer:

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210

Step-by-step explanation:

Let

x ---> the number of gift wrap rolls for solid colors sold

y ---> the number of gift wrap rolls for sprint patterns sold

we know that

x+y=480 ---->x=480-y ----> equation A

4x+6y=2,340 ----> equation B

Solve the system by substitution

substitute equation A in equation B

4(480-y)+6y=2,340

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1,920-4y+6y=2,340

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y=210

<em>Find the value of x</em>

x=480-y ----> x=480-210=270

therefore

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210

8 0
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