The answer is 1.5 bc 0.75 times 2 since it’s the midpoint
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:
10%
Step-by-step explanation:
450 is 10% of 4500
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,

