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geniusboy [140]
3 years ago
5

A dodecagonal pyramid has a surface area of 130 square inches. A similar dodecagonal pyramid has a surface area of 2080 square i

nches. If the larger pyramid has a height of 32, what is the height of the smaller dodecagonal pyramid?
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

8 in.

Step-by-step explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So,  \frac{2080}{130} = \frac{32^{2}}{h^{2} }

h^{2} = \frac{32^{2} * 130 }{2080}

h^{2} = 64

h = 8 in.

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A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the
laila [671]

Answer:

<h2>$5.03</h2>

Step-by-step explanation:

Given data          

Sample Mean (M):  $48.77  

Sample Size (n): 20

Standard Deviation (σ) :  $17.58

Confidence Level: 80%

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MOE= z*σ/√n

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MOE= 22.502/4.47

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4 years ago
What is the measure of z?<br> an<br> z= [?
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3 years ago
suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh
sveta [45]
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How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

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Performing the necessary calculations, we have:

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Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
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3 years ago
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