3 people work for 40 hours, 1 person allocate 20 hours the second person allocate 1/3 of the time what is left for the third per
1 answer:
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Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
The best approximation is
Step-by-step explanation:
we know that
The area of the circle is equal to
In this problem we have
substitute
Answer:
Step-by-step explanation:
10. From the given figure,
11. From the given figure,
and
12. The sides of an equilateral triangle has length=10 inches, therefore AB=BC=AC=10
Also, AD is the height of the given triangle,then BD=DC=5
From triangle ADC,
Hence, height of the triangle is
13. Height of the ramp from the ground is 8ft.
therefore, let BC=x
14. Let BC=x and AB=y
then,
and
The perimeter of triangle is=Sum of all the sides=AB+BC+AC=
15. Let AB be the height of the tree, then
16. According to question,
