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Afina-wow [57]
3 years ago
7

What is the length of BC in the right triangle below?

Mathematics
2 answers:
gayaneshka [121]3 years ago
5 0

Hey there! :)

Answer:

C. BC = 39 units.

Step-by-step explanation:

Use the Pythagorean theorem to solve for BC. Let BC = c, AB = a, and AC = b.

c² = a² + b²

c² = 15² + 36²

Square and simplify:

c² = 225 + 1296

c² = 1521

c = √1521

c = 39 units.

Therefore:

BC = 39 units.

wolverine [178]3 years ago
3 0

Answer:

C. 39

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length

15² + 36² = C²      Simplify

225 + 1296 = C²   Add

1521 = C²              Take the square root of both sides

39 = C

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3 years ago
Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 ce
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Answer:

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we know that

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step 1

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Divide the length in the drawing by the scale drawing

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5 0
4 years ago
Find the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest in
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<h2>Answer:</h2>

55°

<h2> Step-by-step explanation:</h2>

To solve this, follow these steps:

i. <em>Make a sketch of the problem</em>.

The sketch has been attached to this response.

ii. <em>Label the sketch properly</em>

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. <em>Solve using the tangent trigonometric ratio</em>

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Using the tangent formula,

tan θ = opposite / adjacent

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θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

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