In δuvw, the measure of ∠w=90°, the measure of ∠v=72°, and vw = 6.1 feet. find the length of uv to the nearest foot.

The length of UV is 19.7 ft.

Solution:

The given is a right triangle because W is 90 degrees. VW is adjacent to V and UV is the hypotenuse. Adjacent any hypotenuse use the cosine function. 

Refer the image attached below for the image of the triangle.

plug in known values

The value of cos(72°) is 0.309

On substituting the above value in (1) we get,

Therefore, the required measure is 19.7 ft.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

22 dimes and 9 nickels

step-by-step explanation: