Note: figure not drawn to scale
if x = 11 units, y = 12 units, and h=9 units, what is the area of the parallelogram shown above?
a.
108 square units
b.
99 square units
c. 132 square units
d.
46 square units

B. 99 square units

Step-by-step explanation:

The parallelogram is a quadrilateral where the opposite sides are parallel to each other. This geometric figure constitutes, therefore, a polygon that consists of 4 sides where there are two cases of parallel sides.

To calculate the area of a parallelogram, you must know the length of the height relative to one of its sides.

Let the base be the side x and the height (h) relative to the base. The area of the parallelogram is the product of the base and the height.

Where:

a is the area in square units.

x is the base in units.

h is the height in units.

Solving:

With x = 11 units and h = 9 units

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1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours