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Masja [62]
2 years ago
11

Juan has a mass of 50 kg. If he is running at a velocity of 2 m/s, how much kinetic energy does he have?

Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer:

  100 J

Step-by-step explanation:

Kinetic energy is jointly proportional to mass and the square of the velocity.

  KE = 1/2mv²

  KE = 1/2(50 kg)(2 m/s)² = 100 J

Juan has a kinetic energy of 100 joules.

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A 1970 comic book has appreciated 10% per year and originally sold for $0.35. What will it be worth in 2010?
madreJ [45]
1970 to 2010 = 40 years
New price = .35*(1.1)^40
New price = .35*45.26
New price = .15.84

8 0
3 years ago
5m + 6n; m = 2 and n = 4
sp2606 [1]

Answer:

34

Step-by-step explanation:

Substitute values given into expression and simplify  :

5(2) + 6(4) =

10 + 24 =

34

Hope this helped and have a good day

6 0
1 year ago
The segment GH and GI are tangent
vodka [1.7K]

Answer:

  OG = 8.7

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.

The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.

  OG² = OH² +GH²

  OG² = 6² +6.3² = 75.69

  OG = √75.69 = 8.7

The length of OG is 8.7 units.

______

<em>Additional comment</em>

You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).

8 0
2 years ago
What is the area of a circle that has a diameter of 16in
rjkz [21]

Answer:

A=πr2

A=π8^2

A=π* 8* 8

A= 64π

A= 64x3.14

A= 200.96 in^2

Step-by-step explanation:

8 0
2 years ago
Simplify 9y+2y-5y please answer
Brums [2.3K]

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

=y(9+2-5)

Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0
2 years ago
Read 2 more answers
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