A ski slope is 320 yards long with a vertical drop of 100 yards. Find the angle of elevation of the ski run. Round to the nearest degree.

18°

Step-by-step explanation:

A ski slope is 320 yards long with a vertical drop of 100 yards. Find the

angle of elevation of the ski run. Round to the nearest degree.

The formula for angle of elevation is given as:

sin θ =Opposite/ Hypotenuse

Opposite = Vertical drop = 100 yards

Hypotenuse = Ski slope = 320 yards.

Angle of elevation =

sin θ = 100/320

sin θ = 0.3125

θ = arc sin(0.3125)

= 18.209956864°

Approximately = 18°

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The answer is in the image 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students