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Ymorist [56]
2 years ago
5

Find the angle of least nonnegative​ measure, θC​, that is coterminal with θ= 9π/4.

Mathematics
1 answer:
Lostsunrise [7]2 years ago
8 0

9514 1404 393

Answer:

  θC = π/4

Step-by-step explanation:

To find the desired angle, subtract multiplies of 2π until the angle is in the desired range.

  9π/4 -2π = (9-8)π/4 = π/4

The angle θC = π/4 is coterminal with θ = 9π/4.

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Option C is your answer. 

It's a negative sloping line which eliminates A and D. Then you just do the whole rise-over-run deal to get the 3/4 part. 
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3 years ago
What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n ? (1 point)
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Answer:

the answer is n=2

Step-by-step explanation:

so put the problem like this 3/5n - 4/5 = 1/5n

In order to get the answer u have to subtract 3/5n to both sides which makes the problem -4/5 = -2/5n and when u divide -4/5 by -2/5 it equals 2

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3 years ago
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Answer:

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6 0
3 years ago
Please help me with this problem, please
Harman [31]

Answer:

sin(x) = 5/13

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Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs and c is the hypotenuse of a right triangle)

\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13

Now we can use the trig ratios:

\implies sin(x)=\dfrac{5}{13}

\implies cos(y)=\dfrac{5}{13}

Therefore, sin(x) = cos(y)

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2 years ago
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harina [27]
It’s b if not d if I’m wrong
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