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Stells [14]
2 years ago
15

Converting units is always an exercise in linear relationships. how many inches is 2.50 m? (2.54 cm=1.0 inch)

Mathematics
1 answer:
madam [21]2 years ago
8 0

There are 98.4252 inches in 2.50m.

Unit Conversion is defined as a process that involves multiplication and division by a numerical factor or a particular conversion factor.

For Example .Convert 2m into cm.

As we know that 1m=100cm

multiplying both sides by 2 we get

2m = 200 cm.

According to the question

It is given that 2.54 cm = 1 inch

1cm = \frac{1}{2.54} inch

100cm=\frac{100}{254} inch

1m = \frac{100}{2.54} ( as 100cm = 1m)

we need 2.50 m So we multiply both sides by 2.50

2.50m=\frac{2.50*100}{2.54} \\\\  2.50m=\frac{250}{2.54}

2.50m=98.4252 inch

Therefore , there are 98.4252 inches in 2.50m.

Learn more about Unit Conversion here brainly.com/question/14523259

#SPJ4

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In order to do this problem you must use square roots. Basically the same number multiplied twice to get your answer. In this problem, 5 * 5 = 25.

<h3>18) 10m</h3>

Since they are asking for the square root to the nearest whole unit, we must know that the √105 lies in between 10 and 11, since 10 * 10 = 100 and 11 * 11 = 121. 105 is closer to 100 than it is to 121 and therefore the answer is 10.

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4 years ago
The standard deviation of a population is known to be 7.8. if the population size is 85, what is the standard error of the mean?
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3 years ago
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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

#SPJ1

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2 years ago
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