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3 years ago

Find the height of an equilateral triangle whose perimeter is 24

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

3 0

Answer:

$h = 4\sqrt{3}$

Step-by-step explanation:

If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8

Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4

So we have $h^2 + 4^2 = 8^2$

$h^2 = 48$

$h = 4\sqrt{3}$

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3 years ago

(-3, 6) & m = -¹/2 what’s this equation in point slope form

Gre4nikov [31]

The equation of the line in point-slope form is y - 6 = (-1/2)(x - (-3)) which can be simplified as x + 2y = 9.

The equation of a line that has a slope m, and passes through the point (x₁, y₁) is given by the point-slope form of a line, which can be shown as:

(y - y₁) = m(x - x₁).

In the question, we are asked to find the equation of the line in point-slope form, that passes through the point (-3, 6) and has a slope m = -1/2.

We know that the equation of a line that has a slope m, and passes through the point (x₁, y₁) is given by the point-slope form of a line, which can be shown as:

(y - y₁) = m(x - x₁).

Taking (x₁, y₁) as (-3, 6) and m = -1/2, in the point-slope form, we get the equation of the line as;

y - 6 = (-1/2)(x - (-3)).

This can be simplified as:

2y - 12 = - x - 3,

or, x + 2y = 9.

Thus, the equation of the line in point-slope form is y - 6 = (-1/2)(x - (-3)) which can be simplified as x + 2y = 9.

Learn more about the point-slope form at

brainly.com/question/11624671

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1 year ago

What is the sum of square root -2 and square root -18?

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4 years ago

Suppose a sample of 1537 Americans over 46 is drawn. Of these people, 1245 don't smoke. Using the data, estimate the proportion

Dmitry_Shevchenko [17]

Answer:

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

$\hat p = \frac{X}{n}$

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

$\hat p = \frac{292}{1537}= 0.190$

Step-by-step explanation:

For this case we deine the parameter of interest p as the proportion of Americans over 46 who smoke.

We know the following info provided:

1245 people don't smoke

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

$\hat p = \frac{X}{n}$

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

$\hat p = \frac{292}{1537}= 0.190$

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3 years ago