A bike tire has a diameter of 16 inches. What is the radius of the bike? What is the circumference of the bike?
1 answer:
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The area of the composite figure with 3 semicircles connected to 3 sides of a square is (6π+16).
A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.
Analysis:
Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.
Radius of semicircle = 4/2 = 2cm
Area of a semicircle = π/2 =
/2 = 2π
For three semicircles = 3 x 2π = 6π
Area of square = =
= 16
Area of composite figure = Area of 3 semicircles + area of square
Area of composite figure = (16 + 6π)
In conclusion, the area of the composite figure is (16 + 6π).
Learn more about area of plane shapes: brainly.com/question/20475473
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Answer:
a) 0.1829
b) 0.6823
c) 0.0413
Step-by-step explanation:
We are given the following information:
We treat adult having little confidence in the newspaper as a success.
P(Adult have little confidence) = 62% = 0.62
Then the number of adults follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 10
a) exactly 5
0.1829 is the probability that exactly 5 out of 10 U.S.adults have very little confidence in newspapers.
b) atleast six
0.6823 is the probability that atleast 6 out of 10 U.S. adults have very little confidence in newspapers.
c) less than four
0.0413 is the probability that less than 4 out of 10 U.S. adults have very little confidence in newspapers.
For this case we must factor the following quadratic expression:
To factor, we must find two numbers that when multiplied give as result +9 and when added or subtracted give as result -6.
These numbers are:
-3 and -3
So, we have:
ANswer:
Option D