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S_A_V [24]
3 years ago
9

How to define trigonometric ratios

Mathematics
1 answer:
Cloud [144]3 years ago
4 0
They are ratios of two sides of a right triangle and a related angle. Trigonometric functions are typically used to calculate unknown lengths or angles in a right triangle.
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Help, I don't remember​
GenaCL600 [577]

Answer:

  x = 144

Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

  x/60 = 60/25

Multiply by 60 to find x:

  x = (60·60)/25

  x = 144

_____

<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

  60 = √(25x)

That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

3 0
3 years ago
Claudia is on a motorcycle trip. She checked the odometer at the beginning of the trip, and it showed 16,789 miles. After 15 day
11Alexandr11 [23.1K]
22,189 - 16,789 = 5400....so she drove/rode 5400 miles in 15 days

5400/15 = 360 miles per day <==
5 0
3 years ago
A tape diagram. There are 175 Saturday tickets sold out of 100 Friday tickets sold. There are question mark Saturday tickets sol
ASHA 777 [7]

Answer:

the answer is 3,500

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Hello, ive been having issues with a quite easy topic. Slopes of lines? I dont really know how to solve this.
liraira [26]
You would count the amount of squares going up then count the squares going horizontal, so then it would be 5/3 hole this helps:)
8 0
3 years ago
The quotient of a number and three is six<br> What is the number?
Hoochie [10]

Answer:

the quotient of 18 and 3 is 6

Step-by-step explanation:

do the inverse and get 6x3=18

7 0
2 years ago
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