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2 years ago

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:

Radius - 4

Apothem - 2

Area - $12\sqrt{3}$ 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

Happy April Fool's btw, lol.

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 a is the hypotenuse and b and c 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