Solve for θ. sinθ = cos(θ+10)

a. 6°
b.66°
c.84°
d.30°

 d. 40°

Step-by-step explanation:

Use the Cofunction Identity:    sin Ф = cos (90° - Ф)

sin Ф = cos (Ф + 10) = cos (90° - Ф)

⇒                   Ф + 10 = 90 - Ф

                   2Ф + 10 = 90

                          2Ф  = 80

                             Ф = 40

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6