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Citrus2011 [14]
3 years ago
13

Pls pls help me with this

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer:

Please check the explanation.

Step-by-step explanation:

                                                        6)

Given ΔMNO ≅ ΔPQR

As congruent parts of congruent triangle are congruent.

and also given

  • m∠N = 2x+6
  • m∠Q = 4x+12

so

m∠N = m∠Q

2x+6 = 4x+12

4x-2x = 6-12

2x  = -12

Divide both sides by 2

x = -6

Thus, the value of x = -6

Therefore, option 'A' is true.

                                                     7)

Given ΔABC ≅ ΔDEF

As congruent parts of congruent triangle are congruent.

and also given

  • AB = 4v+2
  • DE = 6v-4

so

AB = DE

4v+2 = 6v-4

6v-4v = 2+4

2v=6

Divide both sides by 2

v = 3

Thus, the value of v = 3

Therefore, option 'A' is true.

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Answer:

See explanation below.

Step-by-step explanation:

Given: 100 lbs on Earth is 16.6 lbs on the moon.

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100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:

Moon Weight * 6.02 = Earth Weight.

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16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.

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Hope this helps! Have an Awesome Day! :-)

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Step-by-step explanation:

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2 years ago
A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s
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Step-by-step explanation:

❁ \underline{ \underline{ \text{Given} }}:

  • Mass of a large rock ( m ) = 4.0 kg
  • Velocity ( v ) = 2.0 m/s

❁ \underline{ \underline{ \text{ \: To \: find}}}:

  • Momentum ( p )

✑ \underline{ \underline{ \text{Solution}}} :

\boxed{ \underline{ \sf{Momentum \:  =  \: mass \:  \times  \: velocity}}}

plug the known values :

⟹ \sf{Momentum = 4.0 \: kg \:  \times  \: 2.0 \:m/s }

⟹ \sf{Momentum = 8 \: kg \: m/s}

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer :   \bold{ \underline{8} }\: kg*m/s}}}}

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑ \underline{ \underline{ \text{Learn \: more about \: momentum}}}:

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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