I don’t know how to divide 3 and 2 digits

If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?

Vesna [10]

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = $\sqrt{{a}^2 + b^{2} }$ , where c is the hypotenuse and a and b are the legs of the triangle.

So, from the problem, if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.

${c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}$

Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.

$b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8$

So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.

$c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\$

So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome

7 0

3 years ago

Which of the following statements about least squares regression analysis is true?

Lemur [1.5K]

The statements about least squares regression analysis is true are I and III.

<h3>What is meant by regression analysis?</h3>

The statistical technique of regression analysis demonstrates the link between two or more variables. The method evaluates the relationship between a dependent variable and independent factors, and is frequently presented as a graph.

You can anticipate the effects of the independent variable on the dependent one by creating a regression analysis. For instance, we can claim that a linear regression model can adequately account for age and height.

Here,

From the given information in the question:

The statements I and III are correct.

And the statements are:

A point with a large residual is an outlier and the removal of an influential point from the data set could change the value of the correlation coefficient.

So, the statements I and III are correct for the given information in the question.

To know more about regression analysis, visit:

brainly.com/question/28298210

#SPJ1

7 0

1 year ago

Liquid Tylenol has 325 milligrams of acetaminophen per 12.5 milliliters of liquid medicine (a fact that would be commonly abbrev

gulaghasi [49]

Answer:

10 milliliters

Step-by-step explanation:

260 mg/ 325 mg = x ml / 12.5 ml