Answer:
The central angle of the arc is 340°
Step-by-step explanation:
The formula for calculating the area of an arc = theta/360° × 2πr
Note that circumference of the circle = 2πr
The area of an arc = theta/360° × circumference of the circle
Given length of the arc = 17/3
Circumference of the circle = 2πr = 6
On substitution;
17/3 = theta/360 × 6
17/3 = theta/60
Cross multiplying;
3theta = 17×60
theta = 17×60/3
theta = 17×20
theta = 340°
First distribute.
6x^2 - 18x -5x - 8 + 6x^2 + 8x
Combine like terms
12x^2 - 15x - 8
Answer:
B A A
Step-by-step explanation:
Answer:
Control Group.
Step-by-step explanation:
A control group, in research, is a group that is not experimented by the researchers in an experiment. A control group is the opposite of an experimental group, on which the independent variable is performed. In other words, an independent variable is held on 'control' in control group.
<u>In the given scenario, the experiment is being performed to test a new physical therapy. To do so, the researchers divided the group in three groups, in which, one group did not receive any treatment; the treatment is held on 'control' in this group.</u>
So, according to the definition provided, the group that did not receive the treatment will be called a control group, thus the correct answer.
We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.

Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25
For Eli:

For Karl:

Thus height of both basketball is equal after 1.25 seconds