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Marrrta [24]
3 years ago
7

Reduce all answers to their lowest terms 20/27 / 10/9

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0
If I am looking at this correctly you have (20/27) divided by (10/9).
The rule for dividing fractions is to keep the first term as it is, change the division to a multiplication, and flip the second term to its reciprocal. Them multiply as usual.
(20/27) * (9/10) = 180 / 270 = 2/3
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Edit: I figured it out, it's 14+7(sqrt sign) 2
Anettt [7]

Answer:

Perimeter = 14 + 7\sqrt{2}

Step-by-step explanation:

Given:

Area of the square = 49 in²

Required

Determine the perimeter of the one of the congruent triangles

First, we'll determine the length of the square;

Area = Length * Length

Substitute 49 for Area

49 = Length * Length

49 = Length^2

Take Square root of both sides

7 = Length

Length = 7

<em>When the square is divided into two equal triangles through the diameter;</em>

<em>2 sides of the square remains and the diagonal of the square forms the hypotenuse of the triangle;</em>

Calculating the diagonal, we have;

Hypotenuse^2 = Length^2 + Length^2 -- Pythagoras Theorem

Hypotenuse^2 = 7^2 + 7^2

Hypotenuse^2 = 2(7^2)

Take square root of both sides

Hypotenuse = \sqrt{2} * \sqrt{7^2}

Hypotenuse = \sqrt{2} * 7

Hypotenuse = 7\sqrt{2}

The perimeter of one of the triangles is the sum of the 2 Lengths and the Hypotenuse

Perimeter = Length + Length + Hypotenuse

Perimeter = 7 + 7 + 7\sqrt{2}

Perimeter = 14 + 7\sqrt{2}

7 0
4 years ago
What is the equation in slope-intercept form of the line that passes through the points (−26, −11) and (39, 34)?
Scrat [10]

The equation in slope-intercept form of the line passing through the given points is: C. y = \frac{9}{13}x + 7

<u>Given the following points:</u>

  • Points on the x-axis = (-26, 39)
  • Points on the y-axis = (-11, 34)

To find the equation in slope-intercept form of the line passing through the given points:

Mathematically, the equation of slope is calculated by using this:

Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}

Substituting the given points, we have:

Slope. \;m  = \frac{34 - [-11]}{39 - (-26)}\\\\Slope. \;m  = \frac{34\; + \;11}{39 \;+ \; 26}\\\\Slope. \;m  = \frac{45}{65}\\\\Slope. \;m  = \frac{9}{13}

The standard form of an equation of line is given by the formula;

y = mx + b

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

We would find the intercept:

-11 = \frac{9}{13}(-26) + b\\\\ -11 = -18 + b\\\\b = -11 + 18

Intercept, b = 7

The equation in slope-intercept form of the line is:

y = \frac{9}{13}x + 7

Read more: brainly.com/question/18123312

3 0
3 years ago
A tree is 6 feet tall. Two years after buying the tree, it had grown to a height of 9 feet how much does the tree grow every yea
kumpel [21]

Answer:

1.5 each year

Step-by-step explanation:

6 0
3 years ago
CHALLENGE FOR YOU COLLEGE PEOPLE<br> What is (5a -7b + 3) + (2a - 6b + 5c - 12)?
Angelina_Jolie [31]

Answer:

7a-13b+5c-9

Hope this helps

7 0
3 years ago
10 less than a number
KiRa [710]

madarchod bhosadike bhen ke lode etc

4 0
3 years ago
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