Answer:
Step-by-step explanation:
The time intervals are [0.00, 0.10], [0.10, 0.30], and [0.30, 0.60].
The rate of change in each interval is the slope of the line between the endpoints:
m = [f(b) − f(a)] / (b − a)
Filling out the table:
![\left[\begin{array}{ccc}Time (s)&Height (ft)&Rate\ of\ change(ft/s)\\0.00&96.44\\&&\frac{97.60-96.44}{0.10-0.00}=11.6 \\0.10&97.60\\&&\frac{98.57-97.60}{0.30-0.10}=4.85\\0.30&98.57\\&&\frac{98.30-98.57}{0.60-0.30}=-0.90\\0.60&98.30\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7DTime%20%28s%29%26Height%20%28ft%29%26Rate%5C%20of%5C%20change%28ft%2Fs%29%5C%5C0.00%2696.44%5C%5C%26%26%5Cfrac%7B97.60-96.44%7D%7B0.10-0.00%7D%3D11.6%20%5C%5C0.10%2697.60%5C%5C%26%26%5Cfrac%7B98.57-97.60%7D%7B0.30-0.10%7D%3D4.85%5C%5C0.30%2698.57%5C%5C%26%26%5Cfrac%7B98.30-98.57%7D%7B0.60-0.30%7D%3D-0.90%5C%5C0.60%2698.30%5Cend%7Barray%7D%5Cright%5D)
The intervals are already in order from greatest to least. Simply reverse the order to get least to greatest:
[0.30, 0.60]
[0.10, 0.30]
[0.00, 0.10]
Answer:
50.27
Step-by-step explanation:
area of a circle: pi X r^2
r= radius
Answer:
46872
4687200
46872000
468720000
Step-by-step explanation:
say x is "?"
x ÷ 10000 = 4.6872
multiply 10000 into 4.6872 = 46872
x ÷ 10000 = 468.72
Multiply 10000 into 468.72 = 4687200
For each "0" you would move a decimal to your right when multiplying and move it to your left when dividing
Answer:
The correct option is:
cosθ = -3/5
Step-by-step explanation:
We have been given that:
cotθ = 3/4
such that the terminal side of θ lies in III quadrant.
Consider it a right angled triangle.
We know that:
cotθ = Base / Perpendicular
Which means Base has a magnitude of 3 and Perpendicular has the magnitude of 4.
As It lies in III quadrant, both x and y are negative.
So
Base = -3
Perpendicular = -4
Find the hypotenuse by using Pythagoras Theorem
H² = (-3)² + (-4)²
H = 5
We know that:
cosθ = Base / Hypotenuse
cosθ = -3/5
