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3 years ago

What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3

1 answer:

8 0

4.8(10^9)/(1.6(10^3))

Pertinent quotient rule for similar bases with exponents...

(a^b)/(a^c)=a^(b-c) so what you really have is:

(4.8/1.6)(10^(9-3))

3(10^6)

3X10^6

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Find Tan Θ given sin Θ = √3/2 and cos Θ = 1/2 a √3 b 3 c 2 d 4

densk [106]

We know:

$\tan\Theta=\dfrac{\sin\Theta}{\cos\Theta}$

We have:

$\sin\Theta=\dfrac{\sqrt3}{2},\ \cos\Theta=\dfrac{1}{2}$

Substitute:

$\tan\Theta=\dfrac{\frac{\sqrt3}{2}}{\frac{1}{2}}=\dfrac{\sqrt3}{2}:\dfrac{1}{2}=\dfrac{\sqrt3}{2}\cdot\dfrac{2}{1}=\sqrt3$

Answer: a. √3

4 0

3 years ago

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If 5(3x-1)=55 what is the value of 2x-2

cricket20 [7]

Hey ! there

Answer:

Value of 2x - 2 is 6 .

Step-by-step explanation:

In this question we are provided with an equation that is 5 ( 3x - 1 ) = 55 and we are asked to find the value of 2x - 2 .

Firstly , we need to find the value of x . So we need to solve the equation .

SOLUTION : -

$\quad \longmapsto \qquad \: 5(3x - 1) = 55$

Step 1 : Dividing with 5 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}} = \cancel{\dfrac{55}{5} }$

On cancelling , We get :

$\quad \longmapsto \qquad \:3x - 1 = 11$

Step 2 : Adding 1 on both sides :

$\quad \longmapsto \qquad \:3x - \cancel{1} + \cancel{1} = 11 + 1$

On simplifying , We get :

$\quad \longmapsto \qquad \:3x = 12$

Step 3 : Dividing with 3 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}} = \cancel{ \dfrac{12}{3} }$

We get ,

$\quad \longmapsto \qquad \: \underline{\boxed{\frak{x = 4}}}$

→ Therefore , value of x is 4 .

Verifying : -

Now we are verifying whether our answer is wrong or right . So ,

5 ( 3x - 1 ) = 55

5 { 3( 4 ) - 1 } = 55

5 ( 12 - 1 ) = 55

5 ( 11 ) = 55

L.H.S = R.H.S

Hence , Verified .

Therefore , our value of x is correct/valid .

We need to find the value of 2x - 2 . 

 $\quad \longmapsto \qquad \:2x - 2$ 

So substituting value of x in it :

 $\quad \longmapsto \qquad \:2( \bold{4}) - 2$ 

Multiplying 2 with 4 : 

 $\quad \longmapsto \qquad \:8 - 2$ 

Subtracting 2 from 8 :

$\quad \longmapsto \qquad \: \blue{\underline{\boxed{\frak{6}}}} \quad \: \bigstar$

Henceforth, value of 2x - 2 is ❝ 6 ❞.

<h2>#Keep Learning</h2>

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2 years ago

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Find the slope and y-intercept b. y = 1/4x - 6

masya89 [10]

Slope: 1/4
Y-int- -6

Y=mx+b the m stands for the slope and the b stands for the y-intercept. I hope this helped you!

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3 years ago

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Line c has an equation of y=-1/3x-5. Perpendicular to line c is line d which passes through the point (-1,7). What is the equati

fgiga [73]

how would I know you can find your in if you read

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4 years ago

What is the value of b? −7.5(x−3)=3.75 Enter your answer in the box.

choli [55]

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4 years ago

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