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Aloiza [94]
4 years ago
11

In a survey it was found that the ratio of people who liked modern songs and folk songs is 8:9. Out of which, 50 people liked bo

th songs, 40 people liked folk songs only and 80 liked none of the songs.
1. Represent the above data in Venn diagram.
2. Find the number of people who participated in the survey. ​
Mathematics
1 answer:
Margaret [11]4 years ago
8 0
1223397292647926181926392726.5 because that is the answer
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I need help I'm stuck on this
ddd [48]

a) The length of p is 21.4 cm

b) The measure of angle P is 45.6°

<h3>Trigonometry </h3>

From the question, we are to determine the length of p

From the <em>Pythagorean theorem</em>, we can write that

30² = 21² + p²

p² = 30² - 21²

p² = 900 - 441

p² = 459

p = √459

p = 21.4 cm

∴ The length of p is 21.4 cm

b)

Measure of angle P

Using SOH CAH TOA

cos P= \frac{21}{30}

cos P = 0.7

P = cos⁻¹(0.7)

P = 45.6°

Hence, the measure of angle P is 45.6°

Learn more on Trigonometry here: brainly.com/question/17831932

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2 years ago
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svetoff [14.1K]

Answer:

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What is the solution to the equation below? √x - 4 = -2 O A. X=&amp; O B. X=4 X = 4 C. x = 6 D. X = 2
saul85 [17]

Answer:

x = 4

Explanation:

Given the expression;

\sqrt[]{x}-4\text{ = -2}

Add 4 to both sides

\begin{gathered} \sqrt[]{x}-4+4\text{ = -2+4} \\ \sqrt[]{x}=\text{ 2} \end{gathered}

Square both sides

\begin{gathered} (\sqrt[]{x})^2=2^2 \\ x\text{ = 4} \end{gathered}

Hence the value of x is 4

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4 years ago
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