You have to use Pythagorean’s theory
Use the formula to find the area of a circle: Area = pi times radius squared
Divide each diameter by 2 to get the radius
Ex) 50/2=25
A= pi times 25 squared
25^2=625
A= 625 times pi
A=2,587.5
Is this a math problem? I don’t see a picture.
9514 1404 393
Answer:
(c) No, it is not a rectangle because the diagonals are not congruent
Step-by-step explanation:
The diagonals of a rectangle bisect each other and are the same length. The lengths of the diagonals of this figure are ...
AC = √((8-0)² +(6-2)²) = √(64+16) = 4√5
BD = √((5-3)² +(2-6)²) = √(4 +16) = 2√5
The diagonals are different lengths, so the parallelogram is not a rectangle. This is described correctly in choice C:
No, it is not a rectangle because the diagonals are not congruent.
_____
The lengths are found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
Answer:
We conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 25.4 minutes
Sample mean,
= 22.1 minutes
Sample size, n = 15
Alpha, α = 0.10
Sample standard deviation, s = 5.3 minutes
First, we design the null and the alternate hypothesis
We use one-tailed t(left) test to perform this hypothesis.
Formula:
Putting all the values, we have

Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there is enough evidence to conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.