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zalisa [80]
3 years ago
9

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

Mathematics
1 answer:
Rudiy273 years ago
5 0

Answer:

The correct option is D

D) the height of the rock 3.2 seconds after it is propelled

Question:

The question is incomplete as it doesn't say what to find. I know that whole question which is given below

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?

A) the height of the rock 3.2 seconds before it reaches the ground

B) the time it takes the rock to reach the ground, or 3.2 seconds

C) the time it takes the rock to reach a height of 3.2 meters

D) the height of the rock 3.2 seconds after it is propelled

Solution:

h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.

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In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.​
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Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

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m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

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step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

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In the right triangle DBC

sin(\angle BDC)=BC/BD

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Answer:  

1 1/4

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