Find the value of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.

Step-by-step explanation:

The diagram contains 2 right angle triangles.

To determine w, we would apply the the Sine trigonometric ratio. It is expressed as

Sin θ = opposite side/hypotenuse.

Hypotenuse = 10

Opposite side = w

Therefore

Sin 50 = w/10

w = 10Sin50 = 10 × 0.7660

w = 7.66

To determine angle x, we would also apply the sine trigonometric ratio. Therefore

Hypotenuse = 11

Opposite side = 7.66

Sin x = 7.66/11 = 0.6964

x = Sin^-1 (0.6964)

x = 41.1 degrees to the nearest tenth.

100.5

Step-by-step explanation:

22/7*2^2*8

=22/7*4*8

=22/7*32

=100.5