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3 years ago

Please help me in this it's similar figures assessment

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

Answer:

Step-by-step explanation:

the triangles are similar so the sides are in proportion

(x/10)=(12/6)

6x=10*12

x=10*12/6=20

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a plastering contractor charges $18 per square yard( that is $2 per square foot). what is the cost of plastering 100 feet of wal

Tomtit [17]

Basically, this problem is going to require you to solve for the area and multiply it with the given cost unit.

Area = Length*Height
Area = 100 ft * 8 ft = 800 ft²

Total Cost = (Unit Cost)(Area)
Total Cost = ($2/ft²)(800 ft²)
<em>Total Cost = $1,600</em>

4 0

3 years ago

The weight of a package of mints is believed to be normally distributed with mean 21.37 grams and standard deviation 0.4, i.e. X

nasty-shy [4]

Answer:

$P(21$

And using a calculator, excel or the normal standard table we have that:

$P(-1.85$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:

$X \sim N(21.37,0.4)$

Where $\mu=21.37$ and $\sigma=0.4$

Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the probability required with the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}
$

And replacing we got:

$P(21$

And using a calculator, excel or the normal standard table we have that:

$P(-1.85$

6 0

3 years ago

The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side l

vaieri [72.5K]

The perimeter of a triangular window is the sum of its side lengths

The side lengths of the window are 33 inches, and 54 inches

<h3>How to determine the side lengths?</h3>

The ratio is given as:

Ratio = 11: 18 : 18

Rewrite as:

Ratio = 11x: 18x : 18x

Express as sum

Sum = 11x + 18x + 18x

Sum = 47x

The perimeter is 141 inches.

So, we have:

47x = 141

Divide both sides by 47

x = 3

Recall that:

Ratio = 11x: 18x : 18x

So, we have:

Ratio = 11*3: 18*3 : 18* 3

Ratio = 33: 54 : 54

Hence, the side lengths of the window are 33 inches, and 54 inches

Please help me in this it's similar figures assessment​

Please help me in this it's similar figures assessment