<span>Since 3100/1.4*5280=3100/7392=24.8 degrees for the angle of the ski slope.</span>
Answer: 5 miles
Step-by-step explanation: If she goes 3 times a week for 8 weeks she goes for a total of 24 days. In those 24 days she wants to bike 120 miles. Divide 120 by 24. You get 5. Therefore she needs to bike 5 miles each day she goes to the gym to achieve her goal.
We will have to use the formula for the area of a trapezoid on this problem, which is (
and
are the bases of the trapezoid and
is the height):

All we need to do is substitute the information we are given into our formula:

Now, let's just simplify the equation:




The missing base has a length of 13 units.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
factors of 66: 1, 2, 3 ,6, 11, 22, 66
GCF: 6
Proportion A
The first thing you should know in this case is what the rate of change means.
The rate of change in a linear equation is given by the slope of the line.
For a linear equation, the rate of change is constant.
So we have to:
y = 9x
The slope is:
m = 9
Proportion B
The slope of the line will be:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (57.5-34.5) / (5-3)
m = 11.5
Answer:
The rate of change in proportion A is 2.5 less than in proportion B.