Find the area of the shaded sector of a circle. Leave ur answer in terms of pi
1 answer:
The area of the shaded sector of a circle is 64 pie cm^2
Here we are given that there is a circle: whose radius is cm and the angle formed by two radius that is angle of the sector is
.
The area of the sector of circle is basically the area of the arc of a circle.
The two combination of two radii forms the sector of a circle while the arc is in between these two radii.
Area of sector is given by:
.л
Substituting the given value in the formula of area of sector:
Area of sector is=
We get after solving,
Area of sector= pie cm^2
So from the given options, option 4 is correct.
Hence the area of the sector is 64 pie cm^2
To know more about Area of the sector:
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Answer:
Step-by-step explanation
Hello!
Be X: SAT scores of students attending college.
The population mean is μ= 1150 and the standard deviation σ= 150
The teacher takes a sample of 25 students of his class, the resulting sample mean is 1200.
If the professor wants to test if the average SAT score is, as reported, 1150, the statistic hypotheses are:
H₀: μ = 1150
H₁: μ ≠ 1150
α: 0.05
The p-value for this test is 0.0949
Since the p-value is greater than the level of significance, the decision is to reject the null hypothesis. Then using a significance level of 5%, there is enough evidence to reject the null hypothesis, then the average SAT score of the college students is not 1150.
I hope it helps!
ANSWER
Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
To proof
let us assume that the fluid should be drained and replaced with pure antifreeze be x .
As given
A radiator contains 10 quarts of fluid, 30% of which is antifreeze.
Now write 30% in the decimal form
Now write 60% in the decimal form
After drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )
The quantity of antifreeze is
The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
than the equation becomes
solyving
100x +300 - 30x = 600
70x = 300
x = 4.28 quarts (approx)
Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
Therefore the option (c.) is correct .