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erik [133]
1 year ago
15

I’m not sure how to explain this problem but I can take another picture if it isn’t clear

Mathematics
1 answer:
rosijanka [135]1 year ago
5 0

In order to determine the value of x, consider that one of the interior angles of the triangle is given by:

180 - (4x - 18)

= 180 - 4x + 18

= 198 - 4x

Next, consider that the sum of the interioir angles of a triangle is equal to 180:

(2x + 6) + 36 + (198 - 4x)

= 2x + 6 + 36 + 198 - 4x

= -2x + 240

this is equal to 180:

-2x + 240 = 180

-2x = 180 - 240

-2x = -60

x = 60/2

x = 30

Hence, the value of x is x = 30

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PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50
evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

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

For X = $3.75, the z-score is:

z=\frac{3.75-4.50}{0.50}\\z=-1.5

For X = $5.00, the z-score is:

z=\frac{5.00-4.50}{0.50}\\z=1

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

P=84.13-6.68\\P=77.45\%

The answer is alternative B.77.4%

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3 years ago
PLEASE HELP!!!!! THANK YOU!!!!!
scZoUnD [109]

Answer:

The slope is 2

Step-by-step explanation:

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7 0
3 years ago
Pls help
KATRIN_1 [288]

Answer:

169.04 in² (nearest hundredth)

Step-by-step explanation:

Surface area of a cone = \pir² + \pirl

(where r = radius of the base and l = slant height)

Given slant height l = 10 and surface area = 188.5

Surface area  = \pir² + \pirl

188.5 = \pir² + 10\pir

\pir² + 10\pir - 188.5 = 0

r = \frac{-10\pi +\sqrt{(10\pi )^2-(4\times\pi \times-188.5)} }{2\pi } = 4.219621117...

Volume of a cone = (1/3)\pir²h

(where r = radius of the base and h = height)

We need to find an expression for h in terms of l using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height

r² + h² = l²

h² = l² - r²

h = √(l² - r²)

Therefore, substituting found expression for h:

volume of a cone = (1/3)\pir²√(l² - r²)

Given slant height l = 10 and r = 4.219621117...

volume = 169.0431969... = 169.04 in² (nearest hundredth)

5 0
2 years ago
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matrenka [14]
This is true. next one pls
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A large bottle holds 250% as much water as a small bottle. If the small bottle holds 12 ounces of water, how many ounces of wate
mylen [45]

30 ounces

because 2.5*12=30

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3 years ago
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