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3 years ago

A rectangular garden has sides of 20 feet and 15 feet. Find the length of a path that

Mathematics

1 answer:

Vsevolod [243]3 years ago

3 0

Answer:

25 feet

Step-by-step explanation:

Rectangle has a length (given as 20 feet) and a width (given as 15 feet).

Also, the diagonal is the length of the side from one corner to opposite corner. THis is what we need to find. According to Pythagorean THeorem:

Length^2 + Width^2 = Diagonal^2

We know:

Length = 20

Width = 15

Now, we find the diagonal:

$20^2+15^2=Diagonal^2\\625=Diagonal^2\\Diagonal=\sqrt{625}\\Diagonal=25$

Hence, the diagonal (length of path that extends from one corner to the opposite corner) has a length of 25 feet.

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Rahul have 55 chocolate he gave 4/5 chocolate to his friend how much chocolate are left with him

garri49 [273]

Answer:

Step-by-step explanation:

Rahul have 55 chocolate he gave 4/5 chocolate to his friend how much chocolate are left with him

55 = 5/5

5/5 - 4/5 = 1/5

55 : 5 = <u><em>11</em></u>

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1 year ago

Select three ratios that are equivalent to <br> 4:3 <br> Choose 3 answers:

postnew [5]

Ratios equivalent to 4:3 would be 8:6 16:12 and 24:18

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3 years ago

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A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian

djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

5² + 12²
25 + 144 = 169
√169 = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
180 - 22.6 - 90 = 67.4°

learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

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2 years ago

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La suma de los cuadrados de dos enteros positivos consecutivos es 761. Cuales son los números?

PilotLPTM [1.2K]

Answer:

19 al cuadrado suma 20 al cuadrado es 761

Step-by-step explanation:

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3 years ago

What is the equation of the following line? be sure to scroll down first to see all answer options

andreyandreev [35.5K]

Answer:

The equation for the following graph:

$y = -\frac{1}{5}x$

Step-by-step explanation:

- You first need to find the slope by using the <u>slope formula</u>:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(where $(x_{1},y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Use the given points $(0,0)$ and $(10, -2)$ from the graph for the formula:

$m = \frac{-2 - 0}{10 - 0}$

Then, you solve:

$m = \frac{-2 - 0}{10 - 0}$

$m = -\frac{1}{5}$

After you have found the slope, use the slope $-\frac{1}{5}$ and the first point $(0,0)$ for the <u>point-slope formula:</u>

$y - y_{1} = m ( x - x_{1})$

<u>(</u>where $m$ is the slope and $(x_{1}, y_{1})$ is the first point)

$y - 0 = -\frac{1}{5} ( x - 0)$

Then, you solve:

$y - 0 = -\frac{1}{5} ( x - 0)$

$y - 0 = -\frac{1}{5}x - 0$

$y - 0 + 0 = -\frac{1}{5} - 0 + 0$

$y = -\frac{1}{5}x$

So, the equation for the following graph is $y = -\frac{1}{5}x$ .

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3 years ago