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german
3 years ago
8

The measure of angle O is 7pi/6. The measure of its reference angle is.... ° and sin O is .....

Mathematics
1 answer:
scoray [572]3 years ago
6 0
\frac{7 \pi }{6} is in the 3rd quadrant... (It is also 210 degrees)
To find the reference angle (which is the distance to the x-axis)
\frac{7 \pi }{6} - \pi = \frac{ \pi }{6}  (or 30 degrees)

sin \frac{ \pi }{6} = \frac{1}{2}
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Fifteen more than four times a number is equal to the difference between 191 and four times the number. Find the number.
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Answer:

The number would be 22.

Step-by-step explanation:

In order to solve for the number, we need to make both statements into numerical statements.

Fifteen more than four times a number = 15 + 4x

difference between 191 and four times the number = 191 - 4x

Now we set them equal to each other.

15 + 4x = 191 - 4x -----> Add 4x to each side

15 + 8x = 191 ------> Subtract 15 from both sides

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Answer:

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Step-by-step explanation:

For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.

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Answer:

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Step-by-step explanation:

5x-13 = 12

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------------------------

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