What is the length of the hypotenuse of the right triangle ABC in the figure

1 answer:

4 0

What is the length of the hypotenuse of a triangle whose other side measure 3in and 4in?5What is the length of the hypotenuse of a triangle whose other side measure 6in and 8in?10What is the length of the hypotenuse of a triangle whose other side measure 9in and 12in?15What is the length of the hypotenuse of a triangle whose other side measure 12in and 16in?20What is the length of the hypotenuse of a triangle whose other side measure 5in and 12in?13What is the length of the hypotenuse of a triangle whose other side measure 7in and 24in?25What is the length of the hypotenuse of a triangle whose other side measure 9in and 40in?41What is the length of the hypotenuse of a triangle whose other side measure 11in and 60in?61What is the length of the hypotenuse of a triangle whose other side measure 13in and 84in?85What is the length of the hypotenuse of a triangle whose other side measure 15in and 112in?113What is the length of the hypotenuse of a triangle whose other side measure 17in and 144in?145What is the length of the hypotenuse of a triangle whose other side measure 31in and 480in?481What is the length of the hypotenuse of a triangle whose other side measure 19in and 180in?181What is the length of the hypotenuse of a triangle whose other side measure 21in and 210in?211What is the length of the hypotenuse of a triangle whose other side measure 23in and 234in?235What is the length of the hypotenuse of a triangle whose other side measure 25in and 312in?313What is the length of the hypotenuse of a triangle whose other side measure 27in and 364in?365What is the length of the hypotenuse of a triangle whose other side measure 29in and 420in?421What is the length of the hypotenuse of a triangle whose other side measure 33in and 544in?545What is the length of the hypotenuse of a triangle whose other side measure 35in and 612in?613What is the length of the hypotenuse of a triangle whose other side measure 15in and 20in?25What is the length of the hypotenuse of a triangle whose other side measure 18in and 24in?30What is the length of the hypotenuse of a triangle whose other side measure 21in and 28in?35<span>
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Please show work on these questions!!!

asambeis [7]

Answer:

- 14π/9; 108°; -√2/2; √2/2

Step-by-step explanation:

To convert from degrees to radians, use the unit multiplier $\frac{\pi }{180}$

In equation form that will look like this:

- 280° × $\frac{\pi }{180}$

Cross canceling out the degrees gives you only radians left, and simplifying the fraction to its simplest form we have $-\frac{14\pi }{9}$

The second question uses the same unit multiplier, but this time the degrees are in the numerator since we want to cancel out the radians. That equation looks like this:

$\frac{3\pi }{5}$ × $\frac{180}{\pi }$

Simplifying all of that and canceling out the radians gives you 108°.

The third one requires the reference angle of $\frac{3\pi }{4}$ .

If you use the same method as above, we find that that angle in degrees is 135°. That angle is in QII and has a reference angle of 45 degrees. The Pythagorean triple for a 45-45-90 is (1, 1, √2). But the first "1" there is negative because x is negative in QII. So the cosine of this angle, side adjacent over hypotenuse, is $-\frac{1}{\sqrt{2} }$

which rationalizes to $-\frac{\sqrt{2} }{2}$

The sin of that angle is the side opposite the reference angle, 1, over the hypotenuse of the square root of 2 is, rationalized, $\frac{\sqrt{2} }{2}$

And you're done!!!

7 0

4 years ago

Please solve and explain (I have a test tomorrow)

Sidana [21]

The match that can be made of these definitions are as follows

a. Space is the set of all points, lines, and planes. This definition is not understandable.

b. A radius is a chord containing the center of the circle. This definition is not accurate.

c. An angle is the union of two distinct rays, this definition is not concise.

<h3>What is space?</h3>

This is the term that is used to mean a continuous area or an expanse that is not occupied. The space is the free available area. When it is defined in this way, it would make the understanding of the word to be more possible and easier for the learner.

<h3>What is a radius?</h3>

This is used to refer to a straight line that is drawn from the center of a circle in such a way that it would have to touch the circumference of that particular circle.

<h3>What is an angle?</h3>

This is the space that is formed when two lines that are intersecting themselves at a particular point. When they meet they would have to form an angle.