Answer:
D. 314 m²
Step-by-step explanation:
Area of circle= π r²
Radius = r = 10 meter
By putting radius in formula we get
area = 314.159 m² and nearest square meter is 314 m²
Answer:
20 feet
Step-by-step explanation:
Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.
To find perimeter, we need to add up all the sides.
Because it's a square each side has the same length.
There are 4 sides.
5 x 4 = 20
or 5 + 5 + 5 + 5 = 20
The perimeter is 20 feet
Answer:
Option D) The prisoner is actually guilty and the jury sets him free.
Step-by-step explanation:
We are given the following in the question:
Null Hypothesis:
The null hypothesis states that the prisoner is innocent
Alternate Hypothesis:
The alternate hypothesis states that the prisoner is guilty and not innocent.
Type II error:
It is the type error made when we fail to reject the ll hypothesis when it is actually false.
That is we accept a false null hypothesis.
Thus a type II error in the above scenario will be to accept that the prisoner is innocent (accepting the null hypothesis) when actually he is guilty( the alternate hypothesis)
Thus, type II error would be setting free a guilty prisoner.
Option D) The prisoner is actually guilty and the jury sets him free.
Answer:
Step-by-step explanation:
Let a is the width of the window and diameter of the semicircle and let h be height of the rectangular portion of the window
:
Perimeter:
2h + a + .5x*pi = 21
2h + 2.57a = 21
2h = 21 - 2.57a
h = (10.5-1.285a)
:
What would be the window with the greatest area;
Area = semicircle + rectangle
Radius = .5a
A = (.5*pi*(.5a)^2) + h*a
Replace h with (10.5-1.285a
A = (1.57*.25a^2) + x(10.5-1.285a)
A = .3927a^2 - 1.285a^2 + 10.5a
A = -.8923a^2 + 10.5a
Find the max area by finding the axis of symmetry; x = -b/(2a)
a = 5.88 meter is the width with the greatest area
:
Find the max area
A = -.8923(5.88^2) + 10.5(5.88)
A = -.8923(5.88^2) + 10.5(5.88)
A = -30.85 + 61.74
A = 30.89 sq/ft is max area
