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2 years ago

The picturre explains the question

Mathematics

2 answers:

Alina [70]2 years ago

3 0

Answer:

x = 47°

Step-by-step explanation:

Since the two angles on a line add up to 180 degrees:

x = 180-133

x = 47°

Ne4ueva [31]2 years ago

3 0

HOPE THIS WILL HELP U..

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Alecsey [184]

In a 30°-60°-90° triangle, the sides occur in a ratio of 1 to √3 to 2. In this case, x is half the length of the hypotenuse, so x = 4.

Or, using trig,

cos(30°) = x/8

x = 8 cos(30°) = 8 (1/2) = 4

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3 years ago

What is the area of the parallelogram? A square units

irakobra [83]

Answer:

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Step-by-step explanation:

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2 years ago

Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ

Grace [21]

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

$csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1$

Therefore, by substitution, you can rewrite the identity as shown below:

$1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta$

Simpliying, you obtain:

$\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta$

The identity is verified.

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3 years ago

A right triangle has leg measures of 8 and 15 inches. What is the area and perimeter of the triangle?

rewona [7]

Hello!

<h3>Answer</h3>

The area of the right triangle is 30 $in^{2}$ . The perimeter is 40 in.

<h3>Explanation</h3>

First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.

$a^{2}$ + $b^{2} = c^{2}$

$8^{2} + 15^{2} = c^{2}$

64 + 225 = $c^{2}$

√289 = $c^{2}$

17 = $c$

Now that we have all the side lengths, we can use the formulas to find the area and perimeter.

A = $\frac{bh}{2}$

A = (15 × 8) ÷ 2

A = 30

<h3>PERIMETER:</h3>

P = a + b + c

P = 8 + 15 + 17

P = 40

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3 years ago

Use the graphing calculator to graph the quadratic function y=2x^2 + 2x -40. what are the zeros of the function

ahrayia [7]

Answer:

The zeroes of this function are x=-5 and x=4

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3 years ago