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Ratling [72]
3 years ago
13

What is the difference of 8 times a number r and 12?

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

The difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

Step-by-step explanation:

Given problem is the difference of 8 times a number r and 12

It can be written as

(8\times r)-12

To simplify the above expression :

8r-12

8r-12=0

8r-12+12=0+12 ( using addition property of equality )

8r=12

8r(\frac{1}{8})=12(\frac{1}{8}) (using division property of equality )

r=\frac{3}{2}

Therefore r=\frac{3}{2}

Therefore the difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

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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
Pls Help!
katen-ka-za [31]

Answer:

34

Step-by-step explanation:

F(x) = 2x^3 - 7x + 1

Let x= 3

F(3) = 2* 3^3 - 7*3 + 1

      = 2 * 27 -21+1

      = 54 -21 + 1

      = 34

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3 years ago
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Last repeats, i cant find answer. pls help, am i use wrong way ? ​
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