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Anna11 [10]
3 years ago
9

In a right triangle, the length of the hypotenuse is 20 inches and length of one leg is 15 inches. What is the length of the roo

m other leg inches
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0
We can solve this problem using the Pythagorean Theorem. The Pythagorean Theorem states, that with hypotenuse c, and legs a and b, a² +b² = c², and since this is a right triangle, that principle is true here. In this problem, we have the length of the hypotenuse and leg a. So, we can insert the values of the variables and then simplify to find out the length of b. 15²+b²=20²b²=400-225b²=175b=√175
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Answer:

m=\frac{7}{8}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-3, -10)

Point (-11, -17)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-17+10}{-11+3}
  2. Add:                              m=\frac{-7}{-8}
  3. Simplify:                        m=\frac{7}{8}

And we have our final answer!

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3 years ago
The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of
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The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

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<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}

The equation that the model represents is therefore;

  • The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

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