The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

33.49cm³

Step-by-step explanation:

Volume of sphere =4/3πr³

diameter = 4cm

radius = diameter/2 = 4/2 = 2

Volume of sphere =4/3πr³= 4/3 x 3.14 x 2³ = 4/3 x 3.14 x 8 = 4/3 x 25.12 = 4x25.12/3 = 100.48/3 = 33.49cm³

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!