Answer:
Step-by-step explanation:
Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of 
where t is expressed in seconds
The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity
Velocity at time t = s'(t) = 
This becomes 0 when t =15 seconds
Hence at 15th second the rock starts falling and upto
s(15) = 
metres high it goes
The time taken to reach highest point is = 15 seconds.
This is a 20% increase. If we divvy up the 25 into 5 groups, we can say that each group is 20%. since we added another group of 5, we can go off of our known values and say that this was a 20% increase.
<span>Julio
is paid 1.4 times his normal hourly rate for every excess hour he works in a
week.
last week he worked 35 hours and got 436.60 dollars.
We need to find an equation so we can be able to solve Julio’s earnings:
=> Let X be the value of Julio’s rate
=> 30 * X + 5 x 1.4x = 436.6
=> 30x + 7x = 436.6
=> 37x = 436.6
=> 37x / 37 = 436.6 / 37
=> x = 11.8
Thus the original rate of Julio is 11.8 dollars
=> 1.4 x 11.8 = 16.52 dollars, the rate of Julio with added rate
=> 30 x 11.8 + 5 x 16.52
=> 354 + 82.6
=> 436.6
</span>
Answer:
Step-by-step explanation:
Given
Hemisphere
Cone
Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.
Substitute 7 for r
Volume (V2) of a cone is:
Because the lead is cast into a cone, then they have the same volume.
So, we have:
Substitute 49 for h
Divide both sides by 49
<em>Hence, the radius of the cone is 3.74cm</em>
3 to the third power = 9
2 Open Bracket 64 - (3 x 7) close bracket = 86
9 + 86 = 95
