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kipiarov [429]
3 years ago
5

What angles of rotational symmetry are there for a regular hexagon?

Mathematics
1 answer:
adell [148]3 years ago
8 0

Answer:

60°, 120°, 180°, 240° and 300°

Step-by-step explanation:

In case of a regular hexagon, there is a set of six movements to complete its one rotation. Now in one rotation, it will complete 360° of its circular motion. Now the formula to calculate the angle of rotation for any shape with equal length of its sides is:

Angle of rotation (Ф) = 360/Total number of sides

In this case, Ф = 360/6

                    Ф = 60

This formula is valid for every shape with equal sides, like in case of pentagon you will have 360/5 to calculate the angle of rotation.

Now in case of hexagon, at rotation of 60°, its rotation is symmetrical, which means rotation will not change its physical appearance, this is the case for next 60° rotation as well, or you can say that for 120° (60° before and 60° afterwards). This suit will follow for all the angles given in the answer section.

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The density of a fluid is given by the empirical equation rho=70.5 exp(8.27 X 10^-7 P) where rho is density (lbm/ft^3) and P is
jasenka [17]

Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

(c) rho = 0.1206exp(8.27×10^-7P)

Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3

rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is

rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)

5 0
3 years ago
four fifths of senior class went to prom. if 324 seniors went to prom, how many are there in the senior class
konstantin123 [22]

Answer:

The answer to your question is 405, because look divide 324 by 4 becasue thats how many fifths are being used then multiply the answer which is 81 by 405


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
10 times as many as blank tens is 30 tens
yKpoI14uk [10]
The answer to that question will be 3
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Becca's new tent is in the shape of a pyramid with a square base. When the tent is fully assembled, it has a height of 72 inches
nekit [7.7K]
Volume= 55,296 in^3
(WORK SHOWN BELOW)

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2 years ago
The maximum weight on a roller coaster is 400 pounds. If your friend weighs 120 pounds, what is the most that you can weigh so y
wolverine [178]
The maximum weight on a roller coaster is 400 pounds (Max = 400).
If your friend weighs 120 pounds (y = 120), what is the most you can weigh so you can ride together (x + y < 400).

x + 120 <_ 400.
y = 120

Subtract 120 from both sides.

x <_ 280.

You can weigh at most 280 pounds (x <_ 280).

I  hope this helps!
7 0
3 years ago
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