Diagonal of the parallelogram divides the parallelogram in to two equal areas.
So area of parallelogram = 2(area of triangle)
According to the given diagram,
AB= 8, AD = 5 and BD = 11
So according to the Heron's formula,
Area of triangle = 
and a, b and c are the three sides of the triangle
Area of triangle ABD =
So, area of parallelogram ABCD = 2(area of triangle ABD)
area of parallelogram ABCD = 2 (18.33)
area of parallelogram ABCD = 36.66
area of parallelogram ABCD = 36.7 sq. units
Answer:

Step-by-step explanation:
Juice squeezed from first orange =
= 0.235
Juice squeezed from second orange =
= 0.3
Juice squeezed from third orange =
= 0.45
Juice squeezed from fourth orange =
= 0.27
Juice squeezed from fifth orange =
= 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275 
Therefore, to make it 2 cups of orange juice for the family, about
cups of more juice is required.
The descriminant is b^2-4ac so for 26 it would be -5^2 - 4 (1) (7). The quadratic formula is -B plus or minus the square root of b squared minus 4ac over 2a
Answer:
The volume of cube-shaped block is 0.125 cubic feet.
Step-by-step explanation:
We are given the following in the question:
Edge length of storage container =

Edge length of block =

Putting value we get,
Edge length of block =

Volume of cube-shaped block = Volume of cube

Thus, the volume of cube-shaped block is 0.125 cubic feet.
Answer:
C. hyperbola; 
Step-by-step explanation:
The given conic has equation:

Divide through by 225.


This is a hyperbola centered at the origin.
The hyperbola has been translated from the origin to (0,5).
The translated hyperbola will have equation;

Multiply through by 225.

Expand


Rewrite in general form;

