3 years ago

Which rotation about its center will carry a regular decagon onto itself?

Mathematics

1 answer:

il63 [147K]3 years ago

8 0

Answer:

D.252

Step-by-step explanation:

In this question, We have to find which rotation about its center will carry a regular decagon onto itself?

A decagon : 10 sided polygon

As we know, a full rotation can be 360°.

For a decagon: 360/10 =36

For a decagon, any multiple of 36 can map onto itself.

In our options only 252 is the multiple of 36.

So, correct answer is option D 252

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A colony of fruit flies exhibits exponential growth. suppose that 500 fruit flies are present. let p(t) denote the number of fru

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I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE.

Part A:
The differential equation is:
y '= 0.08y
The initial condition is:
P (0) = 500

Part B:
The formula for this case is:
P (t) = 500exp (0.08 * t)

Part C:
After five days we have to evaluate t = 5 in the equation.
We have then:
P (5) = 500 * exp (0.08 * 5)
P (5) = 745.9123488
Rounding:
P (5) = 746