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labwork [276]
3 years ago
14

Decompose the regular hexagon into six matching triangles. What is the area of a hexagon?

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

((3√3)/2) * (s^2)

Step-by-step explanation:

A hexagon can be split up into 6 equilateral triangles by drawing a line from a corner to the opposite corner.  The equilateral triangles would have a side length of (if the hexagon has a side length of s) s.  The area of an equilateral triangle is (√3)/4 * s^2.  Multiplying this by 6 gets us ((3√3)/2) * (s^2).

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-0.6w=2.4<br> Please answer<br> Hggjigj
SashulF [63]

Final Answer: w = -4

Steps/Reasons/Explanation:

Question: Solve -0.6w = 2.4.

<u>Step 1</u>: Divide both sides by -0.6.

w = -\frac{2.4}{0.6}

<u>Step 2</u>: Simplify \frac{2.4}{0.6} to 4.

w = -4

~I hope I helped you :)~

8 0
3 years ago
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Luba_88 [7]
I think its "Yes it can because -3.5 lies to the left of -1.5"
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A ball slides up a frictionless ramp. It is then rolled without slipping and with the same initial velocity up another frictionl
KATRIN_1 [288]

Answer:

Rolling case achieves greater height than sliding case

Step-by-step explanation:

For sliding ball:

- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.

- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.

- The ball slides it only has translational kinetic energy as follows:

                                   ΔK.E = ΔP.E

                                   0.5*m*v^2 = m*g*h

                                    h = 0.5v^2 / g

For rolling ball:

- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:

                                  ΔK.E = ΔP.E

                                  0.5*m*v^2 + 0.5*I*w^2 = m*g*h

- Where I: moment of inertia of spherical ball = 2/5 *m*r^2

             w: Angular speed = v / r

                               0.5*m*v^2 + 0.2*m*v^2 = m*g*h

                               0.7v^2 = g*h

                               h = 0.7v^2 / g

- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.

4 0
3 years ago
What goes into 55 and 11
soldier1979 [14.2K]
10 5's go into 55 and
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The answers I gave are only if you want them in 10's
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3 years ago
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Solve 11 and 13 pleaseeeee
nata0808 [166]
32 degees, 43.8 degrees, 53.8, 63.8 Yes they are proportional
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