Answer:
-1.4 m/sec [backwards]
Step-by-step explanation:
The energy of the cannon moving should be equal to the energy contained in the cannonball. Kinetic energy for each is calculated using KE = (1/2)m
Let x be the speed of the cannon.
<u>Cannonball: </u>
KE = (1/2)m
KE = (1/2)(1kg)(45 m/sec)^2
KE = 22.5 kg*m/sec^2
<u>Cannon:</u> [The cannon will have the reverse energy]
KE = - (1/2)m
22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2
22.5 kg*m/sec^2 = -(33.5 kg)x^2
x^2 = (33.5 kg)/(22.5 kg*m/sec^2)
x^2 = -1.4 m/sec [backwards]
Answer: 50.24 cm²
Step-by-step explanation:
<u>ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM</u>
<u></u>
The formula for the area of a circle is pi(3.14) * r(4)^2



Hope it helps <3 :D
Answer:
Y = 15x + 30 and 8 hours
Step-by-step explanation:
She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.
She gets a solid $30 every week that is straight forward
To solve the function
150 = 15x + 30
subtract 30 from both sides
120 = 15x
divide 15 from both sides
8 = x
or
x = 8
You got this :)
Answer:
The time required to finish the work by both candy and Tim working together = 36.83 minute
Step-by-step explanation:
Time taken by the candy to finish the work
= 85 min
Time taken by the Tim to finish the work
= 65 min
Thus the time taken by both to finish the work = 
Put the values of
and
we get ,
= 
= 
= 36.83 minute
Thus the time required to finish the work by both candy and Tim working together = 36.83 minute