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meriva
3 years ago
9

PLEASE HELP GEOMETRY QUESTION

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

Step-by-step explanation:

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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
Slope 9/5 and this line is passing through ( 0,5)
Law Incorporation [45]

Answer:

uuuujjjjj

Step-by-step explanation:

nnnnnnnnnnnnnñbbbbbbb

4 0
3 years ago
To do so, the research has 100 high school students complete the maze with classical music playing. The mean time for these stud
Marizza181 [45]

Answer:

test statistic, z =  −1.74

Step-by-step explanation:

given data

students n = 100

mean time x  = 41.13 seconds

σ  = 5

we consider µ = 42

solution

we get here The test statistic that is express as

test statistic, z = \frac{x-\mu }{\frac{\sigma }{\sqrt{n}}}      ......................1

put here value and we will get

test statistic, z = \frac{41.13-42}{\frac{5 }{\sqrt{100}}}

test statistic, z =  −1.74

8 0
3 years ago
A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  \binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}

                        =  21 \times 0.25^{2} \times 0.75^{5}

                        =  <u>0.3115</u>

5 0
3 years ago
Please help what is x(5x6)
Rom4ik [11]
It will equal 
x(5)(6)=30x
3 0
3 years ago
Read 2 more answers
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