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Ivanshal [37]
2 years ago
14

Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
8 0

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = \frac{1}{2} pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5\sqrt{3} , then

A = \frac{1}{2} × 60 × 5\sqrt{3}

   = 30 × 5\sqrt{3}

   = 150\sqrt{3}

   ≈ 259.8 cm² ( to the nearest tenth )

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Answer:

equivalent to 58/100

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Step-by-step explanation:

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3 years ago
why is using the metric system superior to using the standard system of measurement... Please someone help I need this and I tri
PilotLPTM [1.2K]
Metric is used world-wide and is used everywhere except in english places (britan and USA)

some examples why metric is nice

base 10 system
1cm=10mm=0.1m=0.01km
1cm^3=1ml
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0 C⁰=freezing tempurature
100 C⁰=boinling tempurature



in english
12in=1foot
3ft=1yd
16oz=1lb
8oz=1cup
3tsbs=1tbs
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metric is nice because everything is in multiplules of 10

and also this exerpt from a book
"<span>In metric, one milliliter of water occupies one cubic centimeter, weighs one gram, and requires one calorie of energy to heat up by one degree centigrade which is 1 per cent of the difference between its freezing point and its boiling point. An amount of hydrogen weighing the same amount has exactly one mole of atoms in it. Whereas in the American system the answer to <em>'How much energy does it take to boil a room-temperature gallon of water?'</em> is go **** yourself because you can't directly relate any of those quantities "</span>
7 0
3 years ago
Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2
Ronch [10]

Answer:

Step-by-step explanation:

y = (x-1)²

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5 0
3 years ago
Consider a Poisson distribution with μ = 6.
bearhunter [10]

Answer:

a) P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

b) f(2) = 0.04462

c) f(1) = 0.01487

d) P(X \geq 2) = 0.93803

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of successes

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

In this question:

\mu = 6

a. Write the appropriate Poisson probability function.

Considering \mu = 6

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

b. Compute f (2).

This is P(X = 2). So

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462

So f(2) = 0.04462

c. Compute f (1).

This is P(X = 1). So

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487

So f(1) = 0.01487.

d. Compute P(x≥2)

This is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248

P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487

P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462

Then

P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.06197 = 0.93803

So

P(X \geq 2) = 0.93803

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