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uysha [10]
2 years ago
10

Instructions: Find the measure of the indicated angle to the nearest

Mathematics
1 answer:
bija089 [108]2 years ago
4 0

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and the adjacent side. Therefore, we should use the tangent function.

tan(x) = 19 / 35

x = tan^-1(19/35)

x = 28 degrees

Hope this helps!

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Answer:

<em>4 blue marbles</em>

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Step-by-step explanation:

1) The problem tells us that the jar contains marbles that are either red, green, or blue (No Other Color).

It also mentions that \frac{2}{5} (\frac{4}{10}) of the marbles are red

and that \frac{1}{10} of the marbles are blue

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2) We need to first find out the total number of marbles, and then multiply that by \frac{1}{10} to get the # of blue marbles.

---> Given \frac{4}{10} are red and \frac{1}{10} are blue, 1-\frac{1}{10}-\frac{4}{10} of the marbles are green (since fractions add up to <u>1 whole</u><u>)</u>

<u />1 - \frac{1}{10} - \frac{4}{10} = \frac{9}{10} - \frac{4}{10}=\frac{5}{10}<u />

<u />\frac{5}{10} \text{ is also } \frac{1}{2}<u />

Half the marbles are green.

3) Let's make the total marbles the variable: m

\frac{1}{2} * m=20 ---> Since half of (of signifies multiplication) the total marbles are green.

Multiply both sides by 2 to isolate: m = 20*2, m=40

Total number of marbles is 40.

4) After that, we multiply this by \frac{1}{10} since one-tenth of the total is blue.

---> \frac{1}{10}*m = \frac{1}{10}*40=4

4 blue marbles is the answer.

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