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Arada [10]
3 years ago
7

Pls help this is kinda hard and it’s due in 45 minutes

Mathematics
2 answers:
VashaNatasha [74]3 years ago
8 0

Answer:

16.8 inches

Step-by-step explanation:

Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8

Pavel [41]3 years ago
5 0

Answer and Step-by-step explanation:

First, write down what we know.

Length of Rectangle = 5\frac{3}{5}

Width = \frac{Length}{2}

2 ways to solve this:

<u>1st way:</u>

If we convert the fraction into a decimal, then we can easily find the width.

5\frac{3}{5} can be solved by making the mixed number into a improper fraction.

Multiply the denominator (5) by the whole number (5), then add the numerator (3). This number is 28. Replace the 3 with the 28, and now we have \frac{28}{5}. This number is equal to 5.6.

Now, we have to divide this number.

5.6 divided by 2 is equal to 2.8.

So, the width is equal to 2.8.

Now, we add the width and length together twice to get the perimeter of the rectangle.

2.8 + 2.8 + 5.6 + 5.6 = 16.8

<u>So, the answer is A. 16.8 inches.</u>

<u>2nd way:</u>

Since we know that the width is half of the length, we can just add the length by itself 3 times, since two of the widths combined will equal the length.

5.6 + 5.6 + 5.6 = 16.8

<u>So, the answer is A. 16.8 inches.</u>

<u><em>#TeamTrees #PAW (Plant And Water)</em></u>

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What is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
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Answer:

Both lines are equal (they are the same)

<em></em>

Step-by-step explanation:

Given

3y - 8 = -5x

6y = -10x + 16

Required

What is true about graph of both lines

<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular</em>

<em />

To do this,

The first thing to do is to calculate the slope of both lines

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3y - 8 + 8 = -5x + 8

3y = -5x + 8

Divide both sided by 3

\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

------------------------------------------------------------------------------------------------------

6y = -10x + 16

Divide both sides by 6

\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}

y = -\frac{10x}{6} + \frac{16}{6}

Simplify fractions to lowest term

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

<em>This implies that both lines are equal; in other words, they are the same.</em>

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