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2 years ago

If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE.

Mathematics

1 answer:

Montano1993 [528]2 years ago

4 0

Answer:

∠ABE = 33°

Step-by-step explanation:

<h3>Angle bisector:</h3>

Angle bisector is a straight line that divides the angle into two congruent (equal) angles.

So, BE bisects the ∠ABD into two equal angles.

⇒∠ABE will be half of ∠ABD

∠ABD = ∠ABE + ∠BED

66° = ∠ABE + ∠ABE

66 = 2∠ABE

∠ABE = 66/2

∠ABE = 33°

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Answer:

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3 years ago

Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200

Virty [35]

Answer:

work done is equal to 384279168 lb-ft

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

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First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as $\pi r^{2} h$

where, r is the radius,

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the volume of the cylinder = $3.142* 7^{2}*200$ = 30791.6 ft^3

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = 1921395.84 lb

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

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4 years ago

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telo118 [61]

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4 years ago

1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyone

ddd [48]

Answer:

1.44

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= 4% of 36 =4/100 *36

= 1.44

Thus, there are 1.44 defective coil in each group.

Since, mean number is average number of defect.

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3 years ago

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snow_tiger [21]

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3 years ago