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qaws [65]
3 years ago
14

Oh lord help q-q I have like no time left-

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

(Triangular pyramid)

Lateral area = 1650m^{2}

Total surface area = 1860.1m^{2}

(Triangular prism)

Volume = 660cm^{3}

Step-by-step explanation:

<u> For the triangular pyramid</u>

Area of triangle = \frac{1}{2} × base × height

Area of the base = \frac{1}{2} × 22 × 19.1 = 210.1

Area of the sides = \frac{1}{2} × 22 × 50 = 550

Number of sides (excluding base) = 3

∴ Total Area = 210.1 + (550 × 3)

= 210.1 + 1650 = 1860.1m^{2}

Lateral Area = (550 × 3)  = 1650m^{2}

<u>For the triangular prism</u>

Area of the triangle = \frac{1}{2} × 12 × 5 = 30

Volume = Area x Height

Volume = 30 ×  22 = 660cm^{3}

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Given m||n, find the value of x.
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Answer:

x = 19

Step-by-step explanation:

6x+4 + 4x - 14 = 180

10x    - 10 = 180

10 X = 190

x = 19

6 0
3 years ago
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Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

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 weights of a population, and for this case we know the distribution for X is given by:

X \sim N(26,4.2)  

Where \mu=26 and \sigma=4.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

z=\frac{42.6-26}{4.2}=3.95

So then the corresponding z scale would be:

z

7 0
2 years ago
A game Room has a floor that is 120ft by 75ft. A scale drawing of the floor on grid paper uses a scale of one unit : 5 feet. Wha
nika2105 [10]
24 units by 15 units. divide both numbers by 5
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ivann1987 [24]

Answer:

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Step-by-step explanation:

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irga5000 [103]

Answer:  The flagpole is about 22.3 feet tall.

This is roughly the size of a two story building, assuming each floor is 10 feet or so.

Since this height is under 25 ft, this flagpole is in compliance with the regulation.

=====================================================

Work Shown:

The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.

The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.

Use the tangent rule to connect the opposite and adjacent sides.

Solve for x.

tan(angle) = opposite/adjacent

tan(25) = (x-5.5)/36

36*tan(25) = x-5.5

x-5.5 = 36*tan(25)

x = 36*tan(25)+5.5

x = 22.28707569358

x = 22.3 ft is the approximate height of the flagpole

Make sure your calculator is in degree mode.

The height is not over 25 ft, so this flagpole meets the requirements.

4 0
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