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Anton [14]
2 years ago
15

Triangle PQR has right angle Q. If sin R = 4/5 what is the value of tan P?

SAT
1 answer:
icang [17]2 years ago
3 0

By applying Pythagorean' theorem, the value of tanP is equal to 3/4.

<h3>How to determine the value of tan P?</h3>

Since triangle PQR has right-angle Q and sinR = 4/5, we have:

sinR = Opp/hyp = 4/5

tanP = Opp/Adj = QR/4

Next, we would determine the length of QR by applying Pythagorean' theorem:

PR² = QR² + PQ²

5² = QR² + 4²

25 = QR² + 16

QR² = 25 - 18

QR = √9

QR = 3 units.

For the value of tanP, we have:

tanP = 3/4.

Read more on Pythagorean theorem here: brainly.com/question/23200848

#SPJ1

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What is the approximate length of the diameter, d? 40 ft 80 ft 125 ft 250 ft.
larisa [96]

The approximate length of the diameter,d of the circle is 250 ft

<h3>How to find the diameter of a circle</h3>

Circumference of the circle = 250π

  • Circumference of a circle = 2πr

250π = 2πr

  • divide both sides by 2π

250π / 2π = r

125 = r

Recall,

Radius, r of a circle = Diameter, d ÷ 2

125 = d/2

d = 125 × 2

d = 250

Therefore, the diameter of the circle is 250 ft

Learn more about circumference of a circle:

brainly.com/question/15673093

5 0
3 years ago
Point (20, 5) is on the graph of inverse variation. Which of the following ordered pair is on the graph?.
Bess [88]

The point (10, 10) is on the graph.

<h3>Procedure - Inverse variation</h3><h3 /><h3>Inverse variation model</h3><h3 />

An <em>inverse</em> variation is represented by the following formula:

y = \frac{k}{x} (1)

Where:

  • x - Independent variable.
  • y - Dependent variable.
  • k - Proportionality constant.

We can eliminate the proportionality constant by creating the following relationship:

x_{1}\cdot y_{1} = x_{2}\cdot y_{2} (2)

<h3>Determination of another point</h3>

If we know that x_{1} = 20, y_{1} = 5 and x_{2} = 10, then the remaining variable is:

y_{2} = \left(\frac{x_{1}}{x_{2}} \right)\cdot y_{1}

y_{2} = \left(\frac{20}{10} \right)\cdot (5)

y_{2} = 10

The point (10, 10) is on the graph. (Correct choice: C) \blacksquare

To learn more on inverse variations, we kindly invite to check this verified question: brainly.com/question/4838941

<h3>Remark</h3>

The statement is incomplete. Complete form is described below:

<em>Point </em>(20, 5)<em> is on the graph of an inverse variation. Which of the following ordered pair is on the graph? </em><em>A.</em><em> </em>(4,1)<em>, </em><em>B.</em><em> </em>(2, 25)<em>, </em><em>C.</em><em> </em>(10, 10)<em>, </em><em>D.</em><em> </em>(16, 4)<em>.</em>

7 0
3 years ago
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Answer:

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Explanation:

6 0
3 years ago
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