what is the approximate value of y − x?

x = 36.4 degrees

y = 53.6 degrees

y - x = 17.2 degrees

Step-by-step explanation:

Since we know the two short sides (legs) of a right angle triangle, we can use the tangent function to find one of the angles. For example for angle "y" we would have:

where the name "opp" indicates the side opposite angle y, while the name "adj" indicates the side adjacent to angle y.

We use the arct-tangent function to estimate angle y, and round it to one decimal:

Now that we know angle y, angle x can be obtained by using the property of internal angles of a triangle must add to 180. We also use that this is a right angle triangle, where we know one of the angles measure 90 degrees (the right angle). Therefore:

Angle x = 180 - 90 - 53.6 = 36.4 degrees

Now, we can calculate the difference of the two: y - x = 53.6 - 36.4 = 17.2 degrees.

true

step-by-step explanation:

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'.