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Margaret [11]
3 years ago
6

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

Mathematics
1 answer:
Musya8 [376]3 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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Stacy and Neil painted 280 ft of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gal
barxatty [35]

Step-by-step explanation:

4/5 gallons for 280 ft² (the ² is missing in the question ...).

3 gallons would be 15/5.

so, what do I need to multiply 4 with to get 15 ?

4×x = 15

x = 15/4

multiplying now also 280 ft² with this factor gives us the answer :

280 × 15/4 = 70 × 15 = 1050 ft²

they can paint 1050 ft² with 3 gallons of paint.

6 0
2 years ago
What is a formula for the nth term of the given sequence? 20,23, 26...​
lord [1]

Answer:

17 + 3n

Step-by-step explanation:

20, 23,26 ..............

This is an arithmetic series

First term = a = 20

Common difference = second term -  first term

                               d = 23 - 20 = 3

nth terms = a + (n-1)*d

               = 20 + (n -1) *3

               = 20 + n*3 - 1*3

              = 20 + 3n - 3

               = 20 - 3 + 3n

              = 17 + 3n

6 0
3 years ago
HELPPP
Alexxandr [17]
Hope this helps you

3 0
3 years ago
Not understanding how to solve
valentinak56 [21]

Answer:16x-4. You add all the numbers with common terms first, such as all the xs together. Then you add all the numbers without an x in front and tada!


Step-by-step explanation:Above


5 0
3 years ago
2x+34=6-5x pls help show work I’ll mark as brainliest!!
fomenos

Answer:

x = -4

Step-by-step explanation:

2x + 34 = 6 - 5x

Subtract 34 from both sides.

2x = -28 - 5x

Add 5x to both sides.

7x = -28

Divide both sides by 7.

x = -4

Proof:

2x + 34 = 6 - 5x

Substitute variable.

2(-4) + 34 = 6 - 5(-4)

Multiply.

-8 + 34 = 6 + 20

Add.

26 = 26

4 0
3 years ago
Read 2 more answers
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