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larisa86 [58]
3 years ago
8

WILL GIVE BRAINLIEST TO THE BEST CORRECT ANSWER!!!!!!! The people of Bridgetown wanted to build a bridge across a nearby river.

Since they were poor swimmers, their master Trigonomos agreed to measure the width of the river without actually crossing it. Trigonomos spotted a tree across the river and marked the spot directly across from it. Then he walked to another point 10 meters down the river and found that the angle between his side of the river and the line connecting him to the tree was 40º. What is the width of the river in meters? Round your final answer to the nearest hundredth.

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

The width of the river is about 8.39 m.

Step-by-step explanation:

Tan = Opposite/Adjacent

The width of the river is the side of a right triangle opposite the angle of 40°. The 10 m distance is the length of the side adjacent to the measured angle. So, we have ...

tan(40°) = width/(10 m)

Multiplying by 10 m, we get ...

width = (10 m)tan(40°) ≈ 8.39 m

The width of the river is about 8.39 m.

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ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

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The radius is r=4

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3 years ago
Y = f(x) = 25x<br><br> Find f(x) when x= 1/2
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A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that th
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We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees

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Step-by-step explanation:

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PLZ HELP I BEG YOU ITS URGENT
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Answer:

$638.25

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The interest is 5.5% yearly and it is simple interest.

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