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patriot [66]
2 years ago
12

For the following right triangle find the side length 19,12 x. Round the nearest hundredth

Mathematics
1 answer:
gavmur [86]2 years ago
5 0

Answer:

Step-by-step explanation:

c^2 - a^2 = b^2

19^2 - 12^2 = b^2

361 - 144 = 217

\sqrt{217\\} = 14.7309198627

Round to the nearest hundredth = 14.73

Hope this helps!

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The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.
Irina-Kira [14]

Answer:

<u><em>Radius -  </em></u>4

<u><em>Apothem -  </em></u>2

<u><em>Area - </em></u>12\sqrt{3} or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

12\sqrt{3}  \div3 = 4\sqrt{3}

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6

By the way, the formula for the area can be either of the two:

A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS

we can easily find the area using the first formula.

A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

<em>Happy April Fool's btw, lol.</em>

4 0
3 years ago
The domain of the function is given. Find the range.
Afina-wow [57]
The range is how much it spans in f(x), f(x) is a line, it has no max/min, so it's enough to substitute the least and greatest values of your domain:

f(-2) = -5, f(4)=7,

Range = [-5,7]
8 0
3 years ago
Read 2 more answers
What's the least common factor of 45 and 18?
maw [93]
Factor them
45=3*3*5
18=2*3*3

lcf=2*3*3*5=90
5 0
3 years ago
Find the length of the missing side. the triangle not drawn to scale. (Image attached)
3241004551 [841]

Answer: 8

Step-by-step explanation:

 The triangle shown in the image attached is a right triangle.

Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:

a^2=b^2+c^2

Where <em>a</em> is the hypotenuse and <em>b</em> and <em>c</em> are the legs.

The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from a^2=b^2+c^2, as following:

17^2=15^2+c^2\\c=\sqrt{17^2-15^2}\\c=8

Therefore, the lenght of the missing side is: 8

6 0
3 years ago
Read 2 more answers
Will give Brainliest if you answer all
oee [108]
What grade are you in so I know what level you are on to help
7 0
3 years ago
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