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3 years ago

What degree of rotational symmetry does an equilateral triangle have

1 answer:

ivann1987 [24]3 years ago

7 0

Answer: There are three rotational symmetries of an equilateral triangle: rotation by zero degrees (the identity operation), rotation by 120 degrees, and rotation by 240 degrees. This group of symmetry operations is isomorphic to the cyclic group of 3 elements: [math]C_3.[/math]

Step-by-step explanation:

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A model that has 4 points and 6 lines containing exactly two points

OleMash [197]

Answer:

4=point

6=line

4+6=10

the answer is 10

4 0

2 years ago

Ms. Reynold's sprinkler system has 5 stations that water all parts of her front and back lawn. Each station runs for an equal am

mina [271]

Answer: 40 minutes

Step-by-step explanation:

It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:

= 16/2

= 8 minutes per station

Ms. Reynolds has 5 stations.

Total time taken will therefore be:

= 8 * 5

= 40 minutes

3 0

2 years ago

How to find components of a vector given magnitude and angle?

Zanzabum

1. Find the magnitude and direction angle of the vector.
2. Find the component form of the vector given its magnitude and the angle it makes with the positive x-axis.
3. Find the component form of the sum of two vectors with the given direction angles.

3 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

3 years ago

Simply each question

dalvyx [7]

2x-8y////2r+5+3r-s+11=5r+16-s////-7x+7

8 0

3 years ago