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DiKsa [7]
3 years ago
12

Area of a regular hexagon with a base of 10 and an apothem of 12

Mathematics
1 answer:
Katen [24]3 years ago
3 0
 <span>Draw a regular hexagon. Connect the center to each of the six vertices. Thus, you have six triangles, each with base 10.. The apothem is the height of each triangle. Then the area of each triangle is (1/2)(10)(12) = 60. You have six triangles so the aarea of the hexagon is 6*60 = 360.</span>
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Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school.
Maksim231197 [3]

26% of all the employees attend night school

Step-by-step explanation:

The given is:

  • Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school
  • 40 percent of all employees are male

We need to find what percent of all the employees attend night school

Assume that the number of all employees is x

∵ The company has x employees

∵ 40 percent of all employees are male

- Find 40% of x

∵ 40% × x = \frac{40}{100} × x = 0.4 x

∴ The number of the male employees is 0.4 x

- Subtract 0.4 x from x to find the number of the female employees

∵ The number of female employees = x - 0.4 x = 0.6 x

∴ The number of the female employees is 0.6 x

∵ 20 percent of the male employees attend night school

- Multiply 20% by 0.4 x to find the number of male employees

   who attend night school

∴ The number of male who attend night school = 20% × 0.4 x

∴ The number of male who attend night school = \frac{20}{100} × 0.4 x

∴ The number of male who attend night school = 0.08 x

∵ 30 percent of the female employees attend night school

- Multiply 30% by 0.6 x to find the number of female employees

   who attend night school

∴ The number of female who attend night school = 30% × 0.6 x

∴ The number of male who attend night school = \frac{30}{100} × 0.6 x

∴ The number of male who attend night school = 0.18 x

Add the number of male and female who attend night school

∵ 0.08 x + 0.18 x = 0.26 x

∴ The number of male and female who attend night school is 0.26 x

- Find the percentage of 0.26 x of x

∵ \frac{0.26x}{x} × 100% = 26%

∴ 26% of all the employees attend night school

26% of all the employees attend night school

Learn more:

You can learn more about the percentage in brainly.com/question/6871421

#LearnwithBrainly

5 0
2 years ago
Which expression is equivalent to 28(15+9) ?
Licemer1 [7]

You would use PEMDAS Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. So first we would use P in PEMDAS witch is 15+9=24

Then you would use Multiplication 24 x 28 = 672


So your answer would be 672

8 0
3 years ago
Gary's rental costs are $135.69, and he must pay 5 percent tax, plus $14 per day for insurance for 3 days. How much will he pay
klio [65]
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Gary will pay $184.47 in all.


Hope this helps you! (:
-Hamilton1757
4 0
3 years ago
A cube-shaped item needs to be painted. The item’s edge length is 2 centimeters. What is the total surface area that will be pai
marysya [2.9K]
For this case, what we must do is find the surface area of the cube.
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The total surface area that will be painted is:
 
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ioda
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