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adoni [48]
3 years ago
15

Find the surface area of the prism.

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

104 in

Step-by-step explanation:

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Irene places a mirror on the ground 24ft away from the base of an oak tree. She walks backward until she can see the top of the
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First, illustrate the problem:

24 feet is the distance between the tree and the mirror. 
4 feet is the distance from Irene's eyes to the mirror. 
5.5 feet is the distance of Irene's eyes from the ground.
4 feet is the distance of Irene from the mirror

From this, we can draw a right triangle and then use the Pythagorean theorem to solve for the height of the oak tree. Also, we have an option to use ratio and proportion between two similar triangles. 
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Please help with this question (with explanation) thanks!​
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What is this expression in simplest form?<br> x²+x-2/x³-x²+2x-2
Nonamiya [84]

Answer:

Simplified to lowest possible would be \frac{x +2}{x^{2} + 2}

Step-by-step explanation:

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3 years ago
The following six independent length measurements were made (in feet) for a line: 736.352, 736.363, 736.375, 736.324, 736.358, a
horrorfan [7]

Answer:

Assuming population data

\sigma = \sqrt{0.000354}=0.0188

Assuming sample data

s = \sqrt{0.000425}=0.0206

Step-by-step explanation:

For this case we have the following data given:

736.352, 736.363, 736.375, 736.324, 736.358, and 736.383.

The first step in order to calculate the standard deviation is calculate the mean.

Assuming population data

\mu = \frac{\sum_{i=1}^6 X_i}{6}

The value for the mean would be:

\mu = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359

And the population variance would be given by:

\sigma^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6}

And we got \sigma^2 =0.000354

And the deviation would be just the square root of the variance:

\sigma = \sqrt{0.000354}=0.0188

Assuming sample data

\bar X = \frac{\sum_{i=1}^6 X_i}{6}

The value for the mean would be:

\bar X = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359

And the population variance would be given by:

s^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6-1}

And we got s^2 =0.000425

And the deviation would be just the square root of the variance:

s = \sqrt{0.000425}=0.0206

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3 years ago
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