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juin [17]
3 years ago
11

Ten percent of the reds are added to twenty percent of the blues, and the total is 24. Yet the product of the number of reds and

3 exceeds the number of Blues by 20. How many are red and how many are blue?
Mathematics
1 answer:
salantis [7]3 years ago
5 0
0.10r + 0.20b = 24
3r = b + 20....b = 3r - 20

0.10r + 0.20(3r - 20) = 24
0.10r + 0.60r - 4 = 24
0.70r = 24 + 4
0.70r = 28
r = 28/0.70
r = 40 <=== there are 40 reds

0.10r + 0.20b = 24
0.10(40) + 0.20b = 24
4 + 0.20b = 24
0.20b = 24 - 4
0.20b = 20
b = 20/0.20
b = 100 <=== there are 100 blues

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The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

<h2>We have to determine</h2>

Which expression finds the measure of an angle that is coterminal with a 45° angle?

<h3>According to the question,</h3>

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

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Then,

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When k = 0

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\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree

When k = 1

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When k = -1

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Hence, The measure of an angle that is coterminal with a 45A°+360A°.

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