Answer:
16.86 ft/s
Step-by-step explanation:
Given that
Speed of the carousel, s = 14 rpm
Distance from the carousel, d = 23 ft
To start with, we convert the given speed to revolution per second, so that
s = 14/60 rev/sec
To find the needed speed, we use the formula
v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD
v = πnD, and we use this to find our needed velocity
v = 3.142 * 14/60 * 23
v = 72.266 * 14/60
v = 16.86 ft/s
Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it
B. 9/19
Step-by-step explanation:
there was 20 dogs in total he took 1 black dog now 19 in total, now 9 black dogs and 10 brown dogs so one less probability of black dogs so 9 black dogs and 10 brown dogs so 9/19
Add all the fractions together:
to do this find the lcd:
which is 60
1/10 = 6/60
1/4= 15/60
1/5= 12/60
2/15= 8/60
add them together
(6+15+12+8)/60
41/60 or C is the answer
Answer:
Width = 3y - 3
Step-by-step explanation:
P = 2l + 2w
12x - 4y - 4 = 2(6x - 5y + 1) + 2w
12x - 4y - 4 = (12x - 10y + 2) + 2w
6y - 6 = 2w
w = 3y - 3
Answer:
Heads
Step-by-step explanation: