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ivolga24 [154]
3 years ago
5

If cos theta = -3/5 in quadrant 2, what is sin theta?

Mathematics
2 answers:
mote1985 [20]3 years ago
3 0

Answer:

hello : sin(θ) = 4/25

Step-by-step explanation:

you know : cos²(θ) + sin²(θ) =1   and : cos(θ) = - 3/5

(-3/5)² + sin²(θ) =1

9/25 + sin²(θ) =1

sin²(θ) =1 -9/25

sin²(θ) = 16/25

sin(θ) = 4/25 or sin(θ) = - 4/25

in quadrant 2 :  sin(θ) > 0

so : sin(θ) = 4/25

SVEN [57.7K]3 years ago
3 0

Answer:

sin(theta)=\frac{4}{5}

Step-by-step explanation:

if cos theta = -3/5 in quadrant 2, find out sin(theta)

cos(x)=\frac{-3}{5}

cos is negative in second and third quadrant

Here cos is in second quadrant.

Sin is positive in second quadrant .

cos(x)=\frac{adjacent}{hypotenuse}

adjacent side= 3 , hypotenuse = 5

Lets use Pythagorean theorem c^2=a^2 + b^2

5^2=3^2 + b^2

25=9 + b^2 Subtract 9 from both sides

b^2= 16

b=4

opposite side = 4

sin(x)=\frac{opposite}{hypotenuse}

sin(theta)=\frac{4}{5}

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3 years ago
there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay
r-ruslan [8.4K]

Answer:

The correct answers are the following:

A) <u>P=12n-275 </u>

B) <u>124 </u>

C) <u>Decrease by $100 </u>

Step-by-step explanation:

A) <u>P=12n-275 </u> - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) <u>1,213=12n-275</u>  - Plug in the value for P ($1,213).

1,488=12n  - Add $275 to both sides.

124=n  - Divide both sides by $12.

<u>n=124 </u> - This the number (n) of people that attended.

C) <u>P=12n-375 </u> - Change the value for expense to $375.

P=12(124)-375  - Plug in the value for n (124).

P=1488-375  - Simplify and find the difference.

<u>P=1,113 </u> - This is your profit.

<u>1,113-1,213=-100 </u> - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

6 0
2 years ago
Calculate the Zscore of $80
gayaneshka [121]
The Z-score (z) is calculated according to the formula: z = (x - μ) / σ

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x = 80, μ = 5, σ = 4

z = (80 - 5) / 4

z = 75 / 4 = 18.7500

Z-score is 18.7500


3 0
2 years ago
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