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fiasKO [112]
2 years ago
9

A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate

it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J
Mathematics
1 answer:
Inga [223]2 years ago
5 0

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

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Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1
abruzzese [7]
Graph B is the correct answer as of July 2018
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3 years ago
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The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?
Dominik [7]

Answer:

A = 7,241.2454026112  square mm.

or exact : A = 2,304.96‬*π  sq mm

Step-by-step explanation:

Cylinder formula:   A = π* r^2 +  2 *π * r* h  +  π*r^2

is the surface area.

d = 2r = 39.2 mm

h = 39.2 mm

r = 19.6 mm

A = π* r^2 +  2 *π * r* h  +  π*r^2

A = 2* π* (19.6)^2  + 2π (19.6)*(39.2)  

A = 2,413.748467537 +  4,827.496935

A = 7,241.2454026112  square mm.

or

A =  2*pi* (768.32‬ + 384.16)

A = 2*1,152.48‬* pi

A = 2,304.96‬*π  sq mm

8 0
3 years ago
Y = 3x<br> x + y = 52<br><br> substitution method <br> help quick <br> show all work
AfilCa [17]

Answer:

x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39

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Which of these strategies would eliminate a variable in the system of equations?
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Step-by-step explanation:

8 0
2 years ago
Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
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