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.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.