Answer:
V = 603.43 cm³
Step-by-step explanation:
V = πr²h
Where r = 4 cm, h = 12 cm
V = 22/7 × 4² × 12
V = 22/7 × 4 × 4 × 12
V = 4224/7
V = 603.43 cm³
Answer:
1/6
Step-by-step explanation:
As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:
purple result + yellow result = 7
6 + yellow result = 7
yellow result = 1
So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :

Also,

Where
is the angular speed
So,

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
Answer: x = 28
Step-by-step explanation:
Let's solve your equation step by step!
3/8x + 15/2 = 18
Step 1: Subtract 15/2 from both sides.
3/8x + 15/2 - 15/2 = 18 - 15/2
3/8x = 21/2
Step 2: Multiply both sides by 8/3
(8/3) * (3/8x) = (8/3) * (21/2)
Step 3. Calculate
x = 28