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Tju [1.3M]
3 years ago
11

Find the length of a side of an equilateral triangle given its altitude is six inches long.

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0
An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
The hypotenuse is the side of the equilateral triangle. 
So, 6 * 2 / (sq root of 3) = <span> <span> <span> 6.9282032303 </span> </span> </span>

Source:
http://www.1728.org/trig2.htm


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grigory [225]

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Step-by-step explanation:

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4 0
3 years ago
Which function is the inverse of f(x)= x^3-6x^2+12x-8
Anna71 [15]

We're not given the choices but we don't need them.


The only way this problem is tractable to a middle or high schooler is if the polynomial is perfect cube; a little thought yields


f(x) = (x-2)^3


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4 0
3 years ago
Read 2 more answers
Assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 7.2 per year.
SCORPION-xisa [38]
Part A:

The poisson distribution is given by 

P(x;\mu)=e^{-\mu}\cdot \frac{\mu^x}{x!}

Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.

The </span><span>probability​ that, in a​ year, there will be 6 hurricanes is given by

</span>P(6;7.2)=e^{-7.2}\cdot \frac{7.2^6}{6!} \\ \\ =0.000747\times \frac{139314.0695}{720} \\ \\ =0.000747\times193.492 \\ \\ =0.1445


Part B:

<span>In a 45​-year ​period, the number of years that are expected to have 6 ​hurricanes is given by 0.1445 x 45 = 6.5 years.


Part C:

The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>
4 0
3 years ago
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Mumz [18]

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3 0
3 years ago
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muminat

Answer: The answer is 4.

Step-by-step explanation:

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3 years ago
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