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Arisa [49]
3 years ago
14

What is m∠C? Round the value to the nearest degree.

Mathematics
1 answer:
Elis [28]3 years ago
5 0

Answer: m\angle C=53\°

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.

Then, to find an angle α, this is:

\alpha =arcsin(\frac{opposite}{hypotenuse})

In this case, you can identify that:

\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm

Then, substituting values into \alpha =arcsin(\frac{opposite}{hypotenuse}) and evaluating, you get that the measure of the angle "C" to the nearest degree, is:

m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°

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Find the slope of the line using the slope formula.<br> (-1 , 3 ) and ( -1, 0)
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Three ways to find the slope of a line: You may have two points #(x_1,y_1)# and #(x_2,y_2)# (often one or both of these points may be intercepts of the #x# and/or #y# axes). The slope is given by the equation. #m=(y_2-y_1)/(x_2-x_1)#. You may have a linear equation that is either in the form or can be manipulated into the form. #y = mx + b#.

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A boat costs $19,200 and decreases in value by 12%. How much will devote be worth after 5 years?
saveliy_v [14]

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3 years ago
Find all real solutions of the equation by factoring. x2 = 5(x + 210)
anzhelika [568]

The real solution of the given equation by factoring x² = 5(x + 210) will be -30 and 35.

<h3>What are the roots of an equation?</h3>

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

As per the given equation,

x² = 5(x + 210)

x² = 5x + 1050

x² - 5x - 1050 = 0

x² - 35x + 30x - 1050 = 0

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To learn more about the roots of equations,

brainly.com/question/12029673

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Through any three noncollinear points, there is exactly one plane containing them. Points W, X, and Y are noncollinear.
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When thinking of what determines a plane we can make the following comparison.

If a plane was the top part of a table, 3 legs, whose tops are points W, X and Y may hold it, as shown in the first picture.

but if the legs are in a line, as in the second figure, they may not hold the top part, so 3 collinear points cannot determine a plane. 

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