Answer:
125feet
Step-by-step explanation:
Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.
The arrow reaches the maximum height at dh/dt = 0
dh/dt = -32t + 80
0= -32t+80
32t = 80
t = 80/32
t = 2.5secs
substitute t = 2.5 into the formula;
h = -16t^2 + 80t + 25
h = -16(2.5)^2 + 80(2.5) + 25
h = -16(6.25)+225
h = -100+225
h = 125
Hence the maximum height the arrow reaches is 125feet
Answer:
The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
Step-by-step explanation:
Given : A quarter of a circle with radius labeled 2 in.
Quarter of circle means fourth part of a circle (as shown in image by shaded part).
We have to find the perimeter of this shaded quarter of circle.
Perimeter is the sum of the dimension of the given figure.
Perimeter of circle is 
Since, we are given Quarter circle so its perimeter 
Perimeter of given figure = 
Perimeter of given figure = 
Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
Answer:
Part 1) The area is 
Part 2) The circumference is 
Step-by-step explanation:
step 1
Find the area
we know that
The area of a circle (circular tablecloth) is equal to

we have
------> the radius is half the diameter

substitute


step 2
Find the circumference
we know that
The circumference of a circle (circular tablecloth) is equal to

we have

substitute


767,074 rounded to the nearest hundred thousand is 800,000.
Answer:
Option 3 is the correct answer.
Step-by-step explanation:
In this graph the red area is above the line y = -1 which represents y ≥ (-1)
Another graph is of a line y = mx + c which passes through (2, -1) and (0, 0)
where m = (y-y')/(x-x') = (1+0)/(0-2) = -1/2
and y intercept c = 0
Therefore line is y = -1/2x
and the blue area will be y ≤ -1/2x below the line.
Hence Option 3 is the answer.