Use the image below to answer the following question. find the value of sin x° and cos y°. what relationship do the ratios of sin x° and cos y° share?
opposite side is 8
hypotenuse has no length
adjacent is is 6.

answer:

3/5

step-by-step explanation:

use pythagorean theorem to find the hypotenuse.

c² = a² + b²

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = 10

now use soh cah toa to find sin x and cos y.

sine = opposite / hypotenuse

sin x = 6 / 10

sin x = 3 / 5

cosine = adjacent / hypotenuse

cos y = 6 / 10

cos y = 3 / 5

sin x and cos y are equal.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the radius is 2 times the diameter.

step-by-step explanation: