Hi
1.If Mrs.Walters drives 360 miles on 25 gallons of gas , she drives 14.4 miles on 1 gallon of gas .
Work; I made a proportion , but you can just divide 360 and 25 .
x=14.4 miles
If Mr.Walters drives 480 miles on 32 gallons of gas , he drives 15.06 miles on 1 gallon of gas .
x=15.06 miles
2. Mr.Walter because he drives more miles with a gallon .
Work; 15.06 miles is greater than 14.4 miles.
Hope it helps and have a wonderful day.
Base Length: 12
Base Width: 5
Pyramid Height: 48.6
Draw a diagram to illustrate the problem as shown below.
The area of triangle acb is
A₁ = (1/2)*20*h = 10h
The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h
The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8
Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.
It's a value you should probably memorize:

You can derive it using some trigonometric identities, other known values of cosine, and properties of the cosine function. For example, using the double angle identity for cosine:

If
, then

and you probably know that
, so

When we take the square root, we should take the positive root because
whenever
:
