Answer:
Step-by-step explanation:
Given a parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.
Part A: we have to find the area of ABCD.
Part B:
We have to decompose this parallelogram into two triangles.
Join diagonal AC
As the diagonal of parallelogram divides it into two congruent triangles of equal area
Hence, the area of each triangle is
Answer:
The correct answer is = 0.33.
Step-by-step explanation:
A uniform random variable is used to describe the outcome of an experiment with the parameters being 50 and 80.
Probability density function = f(x) =
Here a = 50 and b = 80.
We need to find the value of probability of this given experiment in an outcome less than 60.
∴ P(X<60) = = 0.33.
Thus the required probability is given by 0.33.
Answer:
14.3 feet
Step-by-step explanation:
Let the height of the tree = x feet.
It is given that the horizontal distance from the base of tree = 10 feet and the angle of elevation to the nest is 55°.
So, we get the following figure.
As, we are obtaining a right angled triangle.
Using the trigonometric form for the angles of a right angled triangle, we get,
i.e.
i.e.
i.e.
i.e.
Hence, the height of the tree is 14.3 feet.
