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3 years ago

Please answer with picture thank you so much!

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

Answer: 28

Step-by-step explanation: In this problem, we're given information about the parts of a segment and we're asked to find the value of x.

To find the value of x, we can use the segment addition postulate.

Looking at the diagram, it should make since that RS + ST = RT.

So 4x + 3x + 11 = 60 or 7x + 11 = 60.

Subtracting 11 from both sides and solving for x, we get x = 7.

Since RS is 4x, we can substitute a 7 in for x to get 4(7) or 28.

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3 years ago

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3 years ago

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3 years ago

Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.

Bezzdna [24]

Answer:

The perimeter of the quarter-circle is 200 cm.

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Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

$arc = \frac{θ}{360} \times 2 \: \pi \: r$

Let r be radius = 56 cm,

Let θ = 90°

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alexdok [17]

Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:

the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship

The distance between the City and Lemont can be worked out using the Sin rule
$\frac{57.8}{sin(36)}= \frac{City-Lemont}{sin(92)}$
$City-Lemont= \frac{57.9sin(92)}{sin(36)} = 98.27.....$ ≈98.3

The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem
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