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Serga [27]
3 years ago
9

46 is the sum of 9 and Hector's savings. Use the variable h to represent Hector's savings

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
H+9=46
it would be a decimal
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Find the area of the shaded region ​
o-na [289]

so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then <u>subtract the area of the circle from that of the hexagon's</u>, what's leftover is what we didn't subtract, namely the shaded part.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)

A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}

5 0
2 years ago
Shara brought 3 bags of chocolate candies for $1.25 each and 3 bags of gummy bears for $2.00 each. How much did she spend in all
Rashid [163]

Answer:

Equation: 3(1.25) + 3(2.00)=M

answer:9.75


Step-by-step explanation:


5 0
3 years ago
A- 13<br> B- 26 <br> C- 52<br> D- there is not enough information
Yakvenalex [24]

Answer:  the anwser is A. 13


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3 years ago
Jim Smith is a word processor. He is paid $3.50 a page. A normal job has 500 pages and requires about 250 words per page. About
worty [1.4K]

Answer:

The correct answer will most likely be B. 1,750.00

Step-by-step explanation:

I just multiplied 3.50 by 500 to get my answer.

7 0
2 years ago
Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. his sister says that at that price,each drink wo
tresset_1 [31]
It is not true

6pack = 6 pieces ? 

6 pieces for $2.00 = $12   not $2.99

Devon should divide $2.99/6  ~~  $0.49


6 0
3 years ago
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