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3 years ago

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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There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses

Paul [167]

No, the total cost will be less than $1000.

There will be 7 buses with 44 students each and one bus with 39 students. So in there will be 8 buses in all.

8*$95=$760

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2 years ago

If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take

Ber [7]

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3 years ago

Read 2 more answers

Best Buy is displaying 15 laptops for a big store sale. The laptops include 6 identical Dells, 4 identical Chromebooks, and 5

Alchen [17]

Answer:

630,630 different arrangements are possible for the given laptops.

Step-by-step explanation:

Total number of laptops = n = 15

Number of identical Dell laptops = 6

Number of identical Chromebooks = 4

Number of identical Mackbooks = 5

We have to find in how many ways can the laptops be arranged. Number of arrangement of objects is calculated using Permutations as the order of objects matter during the arrangement. The formula to calculate the number of possible arrangements when there are similar objects is given as:

$\frac{n!}{a!b!c!...}$

Here n is the total number of objects and a,b, and c represent the number of identical objects. Using the given values we get:

$\frac{15!}{6!4!5!} = 630630$

This means 630,630 different arrangements are possible for the given laptops.

4 0

3 years ago

For number 21, can it be “less than or equal to” $50, or $49 and less?

Setler79 [48]

Less then or equal to, and your sign is pointing the wrong way I believe.

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3 years ago

When 5x2+2=4x is solved using the quadratic formula, what are the values of a,b, and c?

viktelen [127]

Hey there,

What are the values of a, b and c?

5x² + 2 = 4x

5x² + 2 - 4x = 4x - 4x

5x² - 4x+ 2 = 0

Quadratic général equation:

ax² + bx + c = 0

a = 5
b = -4
c = 2

I hope this helps ✅(◠‿◕)

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2 years ago