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4 years ago

12

Which Expression is Equal to 7/√5

1 answer:

otez555 [7]4 years ago

7 0

Answer: $\frac{7\sqrt{5} }{5}$

Step-by-step explanation:

All you need do is to rationalize , that is :

$\frac{7}{\sqrt{5} }$ X $\frac{\sqrt{5} }{\sqrt{5} }$

= $\frac{7\sqrt{5} }{\sqrt{5} . \sqrt{5} }$

= $\frac{7\sqrt{5} }{5}$

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7. If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is?

prisoha [69]

<em><u>(0.2)x = 2.</u></em>

<em><u>Taking log on both sides</u></em>

<em><u>log (0.2)x = log 2.</u></em>

<em><u>x</u></em><em><u> </u></em><em><u>log (0.2) = 0.3010, [since log 2 = 0.3010].</u></em>

<em><u>x</u></em><em><u> </u></em><em><u>log (2/10) = 0.3010.</u></em>

<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - log 10] = 0.3010.</u></em>

<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - 1] = 0.3010,[since log 10=1].</u></em>

<em><u>x[-0.699] = 0.3010.</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>0.3010/-0.699.</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4306….</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4</u></em><em><u>.</u></em>

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2 years ago

Read 2 more answers

What’s the answer help please I need to pass this class

almond37 [142]

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3 years ago

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Anna007 [38]

Answer:

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Step-by-step explanation:

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3 years ago

You have a playlist with 19 pop songs and 29 R&B songs. You randomize and hit play. How many songs do you have to listen to

ivann1987 [24]

Answer:

The answer is 20 songs.

Step-by-step explanation:

i) there are 19 pop songs

ii) there are 29 R&B songs

iii) the number of songs that have to be listened to in order to guarantee you hear one pop song and one R&B song

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3 years ago

A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many

allsm [11]

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

$x=2y+3$ (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

$x=2(y+1)$ (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

$2y+3=2y+1$

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You obtain an inconsistency, hence, the situation of the problem does not have solution

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3 years ago