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Art [367]
4 years ago
10

In a right triangle STR, angle T and R are complementary angles. The value of cos(T) is 9/41. What is the value of sin(R)?

Mathematics
1 answer:
alex41 [277]4 years ago
5 0

Answer: C) 9/41

Step-by-step explanation: From the description, angle S is the right angle. Which means that angles T and R are complementary (they sum to 90 degrees). Because they are complementary, this means the cosine of one angle is equal to the sine of the other angle. If cos(T) is 9/41, then so is sin(R).

cr. USA Test Prep

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3 years ago
Solve for x in 4x-4/x+4=10
Amiraneli [1.4K]

Answer:

-22/3 =x

Step-by-step explanation:

(4x-4) /(x+4) = 10

Multiply each side by (x+4)

(4x-4) /(x+4) * (x+4) = 10 * (x+4)

(4x-4) = 10 * (x+4)

Distribute

4x-4 = 10x+40

Subtract 4x from each side

4x-4-4x = 10-4x+40

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4 0
3 years ago
Hey I’m struggling with number 13 so please show your work. Thx
Dafna11 [192]

Answer:

\frac{5}{12}

Step-by-step explanation:

Because \frac{3}{5} is being multiplied by S, we can divide \frac{3}{5} from both sides of the equation. This will give us:

\frac{1}{4}÷\frac{3}{5}

But, that looks a bit hectic. Instead of dividing, you can multiply by the reciprocal (which is essentially how to divide fractions). So, instead of \frac{1}{4}÷\frac{3}{5}, you get:

\frac{1}{4}×\frac{5}{3}

When multiplying fractions, remember you can just multiply straight across-- numerator x numerator, then denominator x denominator.

By doing that, you get the fraction \frac{5}{12}

\frac{5}{12} cannot be simplified any more, so S=\frac{5}{12} is your answer :)

I hope this helps

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VMariaS [17]

Answers:

B: <em>The sine function increases on (0°, 90°) and (270°, 360°).</em>

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E: <em>Both the cosine and sine functions have a maximum value of 1.</em>

F: <em>Both the cosine and sine functions are periodic.</em>

4 0
3 years ago
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