Each student in a school was asked, "What is your favorite color?" The circle graph below shows how they answered
1 answer:
Answer:
a). BLUE color
b). 20%
Step-by-step explanation:
a). "Which color was chosen by approximately one fourth of the students?"
Since one fourth of the students will be represented by one fourth area of the circle given.
That means color of choice represented by the quarter of the circle will be the color liked by one fourth students.
In the figure attached, BLUE color is the choice of one fourth students in the class.
b). Area represented by purple, green and other colors is a quarter of the circle.
If we divide this quarter into five equal sections, then the total of purple and green will be of the the quarter of the circle.
Measure of the angle defined by purple or green sections =
= 72°
Percentage of the students who preferred purple or green =
= 20%
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Answer:
The volleyball travel high enough to clear the top of the net.
Step-by-step explanation:
The height of a volleyball, h, in feet, is given by h = −16t² + 11t + 5.5, where t is the number of seconds after it has been hit by a player.
Now, for h = 7.3 feet, we can write
7.3 = - 16t² + 11t + 5.5
⇒ 16t² - 11y + 1.8 = 0
Using the quadratic formula we get,
⇒
⇒ t = 0.27 or t = 0.42
Therefore, for the two real positive values of t the volleyball travel high enough to clear the top of the net. (Answer)
measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Step-by-step explanation:
Arc length = 29.21
Circumference = 40.44
Central angle = ?
The formula used to find central angle is:
where s = arc length, r= radius and Ф=central angle.
We need to find radius from circumference
So, radius = 6.34
Now, finding central angle:
So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Keywords: Central angle of circle
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