Answer:
21.07 yd^2
Step-by-step explanation:
The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.
The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.
area of shaded region = area of rectangle - area of semicircle
A = LW - (1/2)(pi)r^2
A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2
A = 98 yd^2 - (1.57)(49 yd^2)
A = 98 yd^2 - 76.93 yd^2
A = 21.07 yd^2
Answer:
a 270° rotation about point P
Step-by-step explanation:
Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.
Therefore the transformation composition that maps
to
K"L"M",
So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.
While the transformation of the second would be down translation that goes to the right.
hence, the last option is correct
Bisecting an angle means it divides the angle into two equal parts. If line rs bisects angle qrt which has a measure of 116 degrees, then angle qrs should have an angle of 58 degrees. Hope this answers the question. Have a nice day.
Answer:
The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.
Step-by-step explanation:
The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.
The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.
The probability density function of <em>X</em> is:

The parameter of the exponential distribution is:

Compute the value of P (X > 10) as follows:


Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.