Answer:
117 ft
Step-by-step explanation:
To find the area of any shape, just multiply height by width. In this problem, our given height is 9, and the given width is 13. We just need to do 9 x 13 to get a final area of 117 feet. The work can be seen down below!
9 x 13 = 117 ft
Answer:
Step-by-step explanation:
The triangles are set up so we see that angle A and angle D are congruent. We also know that, by the definition of vertical angles, angles CED and BEA are congruent. That means, by the Triangle Angle-Sum Theorem, that angles C and B are also congruent. That does NOT mean, however, that the triangles are congruent because their corresponding side lengths are not the same. What it does mean is that the triangles are similar. If we were to pull them apart and set them next to each other, our triangle similarity statement would be that ΔECD ~ ΔEBA. That means that their corresponding sides exist in proportion to one another. Namely, side ED is proportional to side EA, and side CD is proportional to side BA. That's all we need to find the length of BA, the distance across the lake. The proportion is set up like this:
and fill in the distances:
Cross multiply to solve for BA:
400BA = 420000 so
BA = 1050 feet
Answer:
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Given :
Volume of rectangular prism
Base Area of a rectangular prism =
---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Step-by-step explanation:
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
Answer:
216 ft
Step-by-step explanation:
you multiply 12 and 18