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Dovator [93]
3 years ago
7

Given that sinθ=8/17 , what is cosθ ? Enter your answer, as a simplified fraction, in the boxes.

Mathematics
1 answer:
leonid [27]3 years ago
4 0

Cosθ = 15/17

Step-by-step explanation:

Sinθ = 8/17

We know that,

Sin^2 θ + cos^2 θ =1

64/289 + cos^2 θ =1

1 - 64/289 = cos^2 θ

225/289 = cos^2 θ

Cos θ = √225/289

Cos θ = 15/17

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Select the correct expression.
antoniya [11.8K]

Answer:

D

Step-by-step explanation:

All we need to know is that there are 2 PASTRIES, this makes it to where we can exclude any equation multiplying against two tea cups. Thus making D the only answer correct.

5 0
2 years ago
Read 2 more answers
The product of two rational numbers is -25/18. If one of the numbers is -3/7, find the other
MissTica
Hello,

-3/7*x=-25/18
==>x=-25/18*(-7/3)
==>x=175/54


5 0
4 years ago
Look at the Hexagon below
Mama L [17]

Answer:

Angle 9: 60°

Angle 10: 30°

Side = radius = 40sqrt(x/3)

Area = [800sqrt(3)]x

Step-by-step explanation:

Total angle in a hexagon:

(6 - 2) × 180

720

Each interior angle:

720/6 = 120

angle 9 = 120/2 = 60

Angle 10 = 60/2 = 30

sin(60) = 20sqrt(x)/r

r = 20sqrt(x) ÷ sqrt(3)/2

r = 40sqrt(x/3)

Side:

sin(30) = ½s/(40sqrt(x/3))

½s = 20sqrt(x/3)

s = 40sqrt(x/3)

Area = (3sqrt(3))/2 × s²

Area = 3sqrt(3)/2 × 1600x/3

Area = [800sqrt(3)]x

4 0
4 years ago
In the figure,ABC~ DEF. solve for x
Zinaida [17]

Answer:

B) X = 6

Step-by-step explanation:

The figure transformation is a dilation. And the side lengths increased by two.

8 0
3 years ago
A ticketholder on the merry-go-round is riding a horse that is at a radius of 12 feet. How far does she travel after the merry-g
OLEGan [10]

The correct value of the angle of rotation is 3π/5

Answer:

Distance travelled ≈ 22.6 ft

Step-by-step explanation:

We are given;

Radius;r = 12 ft

Angle of rotation; θ = 3π/5

The formula for calculating distance travelled is;

Distance travelled = rθ

So, plugging in the relevant values;

Distance travelled = 12 x 3π/5

Distance travelled ≈ 22.6 ft

3 0
3 years ago
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