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Margaret [11]
2 years ago
6

A right triangle has side lengths a, b, and c as shown below.

Mathematics
1 answer:
Musya8 [376]2 years ago
4 0

Answer:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

  • Side a is the adjacent (A)
  • Side b is the opposite (O)
  • Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Hope it will find you well

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Aleksandr [31]
<span>The name that applies to all of the numbers given in the question is ‘real numbers’. Real numbers can be both rational — like the fraction -7/8 and the square root of 18/2 — and irrational numbers — like the square roots of 0.15 and 45.</span>
7 0
3 years ago
What expression is equivalent to 1/4y-1/2
Archy [21]

Answer:

y - 2 / 4 is equivalent to 1/4y - 1/2

4 0
2 years ago
Read 2 more answers
1/8 of the boys at a high school tried out for the football team, 1/6 tried out for the baseball team, and 1/ 12 tried out for t
Xelga [282]

Answer:

2/3

Step-by-step explanation:

This problem is an overlap problem. First we have that 1/8 total tried out for football team, 1/6 total tried out for baseball team and 1/12 of the students that tried out for both football and baseball team.

So if we want to find those who just tried football, we perform the following operation:

1/8 - 1/12 = 1/24.

So we know that 1/24 tried out just football.

If we want to find all those who tried out just for baseball, we perform the following operation:

1/6 - 1/12 = 1/12

So we know that 2/24 (1/12 multiplied by two) tried  for both football and baseball and 3/24 tried out for football, it means that 2/3 of the boys who tried football also tried baseball.

7 0
3 years ago
9.88+(6,7-x) = 2,6 please help​
ddd [48]
Hello

First you have to remove your parenthesis and since there is a “+” in front of the parenthesis, the expressions remain the same. So:
9.88+6.7-x = 2,6

Now, you have to add the numbers. So:
16.58-x = 2,6

Next, you have to move the constant (x) to the right and change its sign since it changes side. So:
-x = 2,6-16,58

Now, calculate the difference:
-x = 13,98

And lastly, change the signs on both sides of the equation since - + - equals +. So:
x = 13,98



Hope you found this helpful
Have a good day
8 0
3 years ago
Help!!! Find the surface area of the cube shown below
ivanzaharov [21]

Answer:

The answer to your question is 8/3 u²

Step-by-step explanation:

Data

length of the side = 2/3

Surface area = ?

Process

1.- Calculate the area of one face

Area = side x side

-Substitution

Area = 2/3 x 2/3

-Result

Area = 4/9

2.- Calculate the area of the cube (a cube has 6 faces)

Surface area = 4/9 x 6

                     = 24/9

-Simplification

Surface area = 8/3 u²

3 0
3 years ago
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