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3 years ago

What is does p equal if 8-p = -12 -3p

Mathematics

2 answers:

adelina 88 [10]3 years ago

8 0

Answer:

8-p=-12-3p

8+12-p = -3p

20 = -3p + p

20 = -2p

20/-2 = p

-10 = p

ans. p = -10

...

Wittaler [7]3 years ago

8 0

Short answers is p=-10 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.

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45 PTS!!! please help! Place the correct inequality interval in the appropriate blank. All intervals are listed with the variabl

Marizza181 [45]

Answer:

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Step-by-step explanation:

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Vsevolod [243]

First, you must use a factor tree to find the prime factors of the number.

/ \

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3 years ago

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riadik2000 [5.3K]

Answer:

x < 4

Step-by-step explanation:

We have that: 1 + 2x < 9. Let's solve this as if the < sign was an = sign:

1 + 2x < 9

Isolate the variable:

2x < 9 - 1

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Luda [366]

Answer:

Here is the solution. Hope it helps.

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