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Talja [164]
3 years ago
13

Find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0
DECA=10, decagon = 10 sides.

since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}ap~~
\begin{cases}
a=apothem\\
p=perimeter\\
------\\
a=2.8\\
p=18
\end{cases}\implies A=\cfrac{1}{2}(2.8)(18)
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a sandwich shop has 60 stores and 70 percent of the stores are I California. How many stores are in California and Nevada
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Answer:

The number of stores in California 42

The number of stores in Nevada 18

Step-by-step explanation:

Given as :

The total sandwich shop in California and Nevada = 60

The percentage of shop in California = 70%

So, The percentage of shop in Nevada = 100% - 70% = 30%

Let The number of stores in California = c

And The number of stores in Nevada = n

Now, According to question

The number of stores in California = 70% of the total number of shops

I.e c = \frac{70}{100} ×  total number of shops

Or, c =  \frac{70}{100} × 60

∴   c = \frac{70\times 60}{100}

or, c =   \frac{4200}{100}

or, c = 42

So, The number of stores in California = c =42

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The number of stores in Nevada = 30% of the total number of shops

I.e n = \frac{30}{100} ×  total number of shops

Or, n =  \frac{30}{100} × 60

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Hence The number of stores in California 42

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Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s
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The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
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<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

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