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Strike441 [17]
3 years ago
8

A great white shark swims 422 feet below sea level. If the horizontal distance from the shark to a sailboat is 348 feet, what is

the angle of
elevation in degrees from the shark to the boat?
422 ft
348 ft
40
Оа
Ob
50
34
od
56

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

B. 50°

Step-by-step explanation:

Use the tangent ratio, then use the inverse to solve for X°

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Step-by-step explanation:

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

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D is the answer


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