Need some help with trigonometry. Last question answered by bots.

See below for answers and explanations

Step-by-step explanation:

First, find the missing side using the Pythagorean Theorem:

c²=a²+b²

65²=a²+16²

4225=a²+256

3969=a²

63=a

Therefore:

sinα = opposite/hypotenuse = 63/65

cosα = adjacent/hypotenuse = 16/65

tanα = opposite/adjacent = 63/16

sinβ = opposite/hypotenuse = 16/65

cosβ = adjacent/hypotenuse = 63/65

tanβ = opposite/adjacent = 16/63

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)