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Mathematics

1 answer:

solniwko [45]3 years ago

3 0

She would order 31 pairs of shoes

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In your own words, explain why solving 4=2x uses the Division Property of Equality. Provide an example with your explanation.

balandron [24]

Solving 4=2x is using the division property because in order to get the last portion of that answer u have to divide both sides by 2x to get x by itself
For example
4=2x to get x by itself you have to divide both sides by 2x
And your final answer would be
x is equal to 2 (x=2)

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3 years ago

You and 3 friends divide the proceeds of a garage sale equally. The garage sale earned $412. How much money did you receive?

iren2701 [21]

Answer:

$ 103 for each person

Step-by-step explanation:

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4 years ago

What is the solution for the inequality y > |2x-3| +1?

liubo4ka [24]

1/2x-3................

5 0

3 years ago

The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in <em>fourth</em> quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$