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77julia77 [94]
4 years ago
8

Find the measure of one interior angle of a regular 14-gon.

Mathematics
1 answer:
lozanna [386]4 years ago
8 0

\bf \textit{sum of all interior angles in a polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{polygon}{sides}\\ \theta = angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n = 14\\ \end{cases}\implies 14\theta =180(14-2) \\\\\\ 14\theta =180(12)\implies 14\theta =2160\implies \theta =\cfrac{2160}{14}\implies \theta \approx 154.3^o

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Ramon earns $1,880 each month and pays $53.30 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning
AfilCa [17]
<h2>Answer:</h2>

Each month, 2.8% Ramon's earnings are spent on electricity.

<h2>Step-by-step explanation:</h2>

You know, that 100 percent are his earnings - $1,880

Now, you need to find out, how much is 1%. You do that by dividing $1,880 by 100.

Now you have to divide the amount he pays on electricity - $53.3 by one percent of his earnings - $18.8

So, now you know, that he pays exactly 2.83511% of his earnings on electricity. But from assignment, you know, that it has to be rounded to the nearest tenth of a percent. The number is 2.8351. So we will round it to 2.8% ,because 3 is rounded down. (https://www.mathsisfun.com/rounding-numbers.html)

100% = $1,880

$1,880/100 = $18.8

$53.3/$18.8 = 2.83511

2.83511% ≈ 2.8%


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What is the answer to this and how do I do this problem?
DaniilM [7]

Answer:

  B) 25.1 units

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:

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The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.

  AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)

  AB = √100 = 10

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  AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)

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