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Ivanshal [37]
3 years ago
14

What is the exact value of sin 60° as found on the unit circle?

Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

The answer is \frac{\sqrt{3} }{2}

In order to find this, you need to draw a 30-60-90 triangle in the first quadrant with a 60 degree angle closest to the origin. Once you have that, you will note that, Sin is equal to the opposite side length over the hypotenuse. The opposite side is equal to the square root of 3 and the hypotenuse is equal to 2. So we just express it as such.

\frac{\sqrt{3} }{2}

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Is a/b +b/c rational number<br>​
Anarel [89]

Answer:

Yes.

Step-by-step explanation:

Yes.

Assuming a, b and c are integers (not = 0)

a/b + b/c

= (ac + b^2) / bc   which is a rational number.

3 0
2 years ago
1. Solve the equations below.
Sergio039 [100]

Step-by-step explanation:

A) 3x + 8 = 23

3x = 23 - 8

3x = 15

x = 15 / 3 = 5

B) 5x + 1 = 3x + 17

5x - 3x = 17 - 1

2x = 16

x = 16 /2 = 8

C) 4 (x+2) = 32

4x + 8 = 32

4x = 32 - 8

4x = 24

x = 24 / 4 = 6

7 0
3 years ago
I need help, please I have until 9 p.m. to finish it number 3 homework
sergeinik [125]

Answer:  1/3

<u>Step-by-step explanation:</u>

When adding or subtracting fractions, they must have the same denominator.

\dfrac{5}{9}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{5}{9}\bigg(\dfrac{6}{6}\bigg)-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{18}{54}}=\dfrac{12}{54}\\\\\\\text{Simplify}\quad \dfrac{18}{54}\div \dfrac{18}{18}\quad =\large\boxed{\dfrac{1}{3}}

6 0
3 years ago
1/3 is greater than what other fractions
Novosadov [1.4K]
As 1/3 = 2/6 = 3/9 = 4/12

and 2/6 is greater than 1/6
    3/9 is greater than 2/9
     etc..

So

1/3 is greater than 1/6 ; 2/9 ; ...
7 0
3 years ago
Read 2 more answers
Simplify each expression into a single number using standard algorithms.<br> 1.-3-2
liberstina [14]

Answer:

- 5

Step-by-step explanation:

Step 1:

- 3 - 2   Equation

Step 2:

- 3 - 2  Add

Answer:

- 5

Subtracting from a negative number is the same thing as adding. If you have a negative number and you have to subtract from it. You just add both of the negative numbers together.

Hope This Helps :)

4 0
3 years ago
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