All categories

2 years ago

Find the greatest number which divides 323,539 and 827 leaving remainder 35 in each case

Mathematics

1 answer:

hammer [34]2 years ago

8 0

Answer:

Step-by-step explanation:

You might be interested in

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 subtract the area of the circle from that of the hexagon's, 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

1 year ago

Ronald invested $68160 for 8 years and earned 6.2% interest compounded annually

erastova [34]

Answer:

He earned 110287.3536 dollars

6 0

2 years ago

Prove theorems about triangles

Aleks04 [339]

Answer & step-by-step explanation:

a) impossible

b) the sum of the angles in a triangle is 180°

63° + 59° + 57° = 179°

3 0

3 years ago

Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she

4vir4ik [10]

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

8 0

2 years ago

How to find domain and range of a graph

Nadya [2.5K]

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

5 0

2 years ago

Find the greatest number which divides 323,539 and 827 leaving remainder 35 in each case​

Find the greatest number which divides 323,539 and 827 leaving remainder 35 in each case