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Natalka [10]
2 years ago
15

Vary hard 11th grade test paper

Mathematics
1 answer:
8_murik_8 [283]2 years ago
4 0
Omg thx for the points ;)
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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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1 year ago
8 times the difference between a number and 6 is equal to 4 times the number.
7nadin3 [17]

Answer:

The variable titled "the number" is A: 12.

Step-by-step explanation:

The problem is 8 * (x - 6) = 4 * x

Try the first number as x and rewrite the expression.

8 * (12 - 6) = 4 * 12

Following PEMDAS (the Order of Operations), you need to solve the problem inside the parenthesis.

12 - 6 = 6

Rewrite the problem.

8 * 6 = 4 * 12

8 times 6 is 48.

4 times 12 is 48.

The variable in the expression 8 * (x - 6) = 4 * x is 12.

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6 in= 10 ft
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