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3 years ago

If y varies inversely as x, and y = 4 when x = 16, what is the value of y when x = 8?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

4 0

I suppose that the value of y equals 2, seems how 4 times 2 what equal 8 and 8 times 2 would equal 16

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If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

2 years ago

3) A yoga class begins at 6:45 pm. The class lasts for 1 hours. Jo needs:

Nonamiya [84]

The yoga class ends at 8:25

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2 years ago

Evaluate each expression |18|

igor_vitrenko [27]

That equals 18 since the distance from zero is 18.

Hope i'm the brainliest!

4 0

3 years ago

What is an integer of 22,8,7,2,-11 from greatest to least

Zinaida [17]

Well, i don't know what you're asking, but -11,2,7,8,22?

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3 years ago

Read 2 more answers

To qualify for the championship a runner must complete the race in less than 55 minutes ....... Use "t" to represent the time in

Svet_ta [14]

The inequality is t < 55

Solution:

Given that, To qualify for the championship a runner must complete the race in less than 55 minutes

Let "t" represent the time in minutes of a runner who qualifies for the championship

Here it is given that the value of t is less than 55 minutes

Therefore, "t" must be less than 55, so that the runner qualifies the championship

This is represented by inequality:

$t$

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify

Hence the required inequality is t < 55

3 0

3 years ago