Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the figure ABCD
Remember that the sum of the internal angles in a quadrilateral is equal to
so
-----> complementary angles
and
-------> complementary angles too
so
Answer:
= 30mn^4
Step-by-step explanation:
The area of a trapezoid
A = 1/2 (a+b) *h
where a and b are the top and bottom
A = 1/2( 3mn^2+ 9mn^2) * 5n^2
Combine like terms
A = 1/2(12mn^2) * 5n^2
=6mn^2 * 5n^2
= 30mn^4
Answer:
The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.
Step-by-step explanation:
This would be an two-sample hypothesis test for the difference between two means.
As we are looking for differences, we are not testing if one population mean is bigger than the other. This will be a two-tailed test and the alternative hypothesis will have a unequal sign.
The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.
This can be written as:
meaning that the population means are significantly different.
Answer:
Arc length is
Step-by-step explanation:
We have,
Central angle is 15 degrees and the radius of the circle measures 9 inches.
It is required to find the arc length of the sector.
The relation between arc length and the central angle is given by :
Circumference,
Hence, the correct option is (b).
The first step to finding the derivative is to take any exponent in the function and bring it down, multiplying it times the coefficient. We bring the 2 down from the top and multiply it by the 2 in front of the x. Then, we reduce the exponent by 1. The final derivative of that term is 2*(2)x1, or 4x.