Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.
<u>Solution:</u>
Let us assume that x is speed of slower eastbound cyclist
So, x+3 will be the speed of faster westbound cyclist
We know that distance is the product of speed and time. That is,
West-bound DATA:
Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles
East-bound DATA:
Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles
On solving,
Distance apart = 162
So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be 
V<span>=(</span><span>4/</span><span>3)</span><span>πr^</span><span>3
R=radius
Diameter= 2 times R
so,
R=7 ft
plugging the values;
V=(4/3)(3.14)(7)^3
V=1436.02 Cubic feet</span>
I think you meant "y = 4 arccot (x)."
This is equivalent to:
y
---- = arccot x
4
and so cot (y/4) = x
Answer:
Kwame's team will save = 7.8 
$0.24 = $1.87
Step-by-step explanation:
i.) Let the side of the equilateral triangle base be a
ii.) the area of the base = 3.9 square feet
iii.) the area of equilateral triangle is = 
= 3.9
iv.) Base area = 3.9 square feet
v.) The area that is not covered is the base.
vi.) The total area that is not covered = 3.9 2 since there are two pyramids
therefore the total area not covered = 7.8 square feet
vii.) therefore Kwame's team will save = 7.8 $0.24 = $1.87
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