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Nitella [24]
2 years ago
7

I NEED HELP QUICKLY

Mathematics
1 answer:
son4ous [18]2 years ago
8 0
His score was 40 each question was worth 5 points
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Question<br> What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
vlada-n [284]

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

           = RS / RT

           = ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of  sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2  ) =  ( 2 / √3 )

Divide by ( √3 / 2  ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

To learn more about trigonometric equations click :

brainly.com/question/14746686

#SPJ1

5 0
9 months ago
What is the equivalent fraction for 4\7
Bingel [31]
4/7 = 8/14 = 12/21 = 16/28, etc
7 0
3 years ago
Read 2 more answers
Solve for x <br> help ASAP
puteri [66]

Answer: x=6 and the angle is 50

Step-by-step explanation:

1. a whole triangle = 180°

2. subtract 70 and 60 to get 50

3. subtract 2 from 50 and get 48

4. divide 48 by 8 and you get 6.

hope this helps :) everyone reading this have a great day!

7 0
3 years ago
5 students want ice cream, 7 want a movie, 10 want a custom, and the rest are undecided. If 20% want ice cream how many students
Nataly [62]
There are 25 in the class
8 0
3 years ago
Let g(x) = 3x + 2. If g(x) = 11, what is x?
astraxan [27]

Answer:

3=x

Step-by-step explanation:

11=3x+2

5 0
2 years ago
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