Katie made two pies for bake sale. One was cut into three equal slices

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

Answer:

15 slices

Step-by-step explanation:

The given question is "Katie made two pies for the bake sale one was cut into three slices and the other was cut into five slices what is the least common number of slice each pie could have ."

One piece is cut into 3 slices

Other piece is cut into 5 slices

We need to find the least common number of slice each pie could have . It means we need to find LCM of the two numbers.

LCM of 3 and 5 = 15

Hence, 15 slice each pie could have .

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3 years ago

What’s the answer?and how do you get it

Kay [80]

the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.

from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.

the standing up sides are simply rectangles of 8x3.

if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.

$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312$