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Novosadov [1.4K]
3 years ago
8

The value of √222 is between which two integers?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0
14 = √196
15 = √225

√196 < √222 < √225
    14 < √222 <  15

<span>b) between 14 and 15</span>
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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
Need help with question in picture
Alika [10]
Hi i’m only doing this so i can ask a question for myself but... have a nice day
5 0
2 years ago
I need to find the value of “x”ik it’s easy but help
zvonat [6]

Answer:

<h2>x = 6</h2>

Step-by-step explanation:

please follow me Friend

5 0
3 years ago
G(x)=3x+2(x+1) evaluate g(7)
lianna [129]
G(x) = 3x + 2(x + 1)

g(7) = 3(7) + 2(7 + 1)

g(7) = 21 + 2(8)

g(7) = 21 + 16

g(7) = 37
5 0
3 years ago
Can somebody help me please ?
Maurinko [17]

Answer:

ik that angle one would be the same as 3 and 2 and 4 are also the same so if u find an answer for 2 or 4 they would be the same but is there like a total of the entire thing

7 0
3 years ago
Read 2 more answers
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