Answer:
12 mph & 4 mph
Step-by-step explanation:
Let s and s - 8 be the speed of Caitlin going on her friend and her speed on her way home respectively.
Distance = Speed × Time
Distance/Speed = Time
9/s + 9/(s - 8) = 3
9(s - 8) + 9s = 3s(s - 8)
9s - 72 + 9s = 3s² - 24s
3s² - 42s + 72 = 0
s² - 14s + 24 = 0
(s - 2)(s - 12) = 0
s - 2 = 0
s = 2
s - 12 = 0
s = 12
If s = 2, then s - 8 = - 6 < 0. We want s and s - 8 to be positive so s = 12 mph. It follows that her speed on her way home is 4 mph.
Either 200.855 or 210,000,00 depending on if the e represents 10
1- slope
2- m
3- ?
4- ?
5-undefined
6- zero
Find the height of it with pythagoras
Root(100-36)=8
Volume = 1/3 pi r^2 h
1/3(36pi x 8)
=96pi
about 301.59ft^3
) Using formula for cicumference.
Circumference = Pi * diameter
Circumference = Pi * 80m
Circumference = 251.2m.
Total inside length of the curved ends.
2)Total distance round inside of track =
2(125) + 251.2m
= 250 + 251.2
= 501.2m
3) Area of circular ends =
Pi*r^2
= Pi*40^2
= 5024m^2
Area of central area (rectangle)
length * width
125m * 80m
= 10,000m^2
Total area inside track =
5,024m^2 + 10,000m^2
= 15,024m^2
Hope this helps.
:-)