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
Answer:
x = 7
Step-by-step explanation:
Expand 3x+2(x-5)=25 which looks like
3x+2x-10=25
Add similar elements: ( 3x+2x = 5x)
5x-10=25
Add 10 to both sides
5x-10+10 = 25 + 10
Simplfy
5x = 35
Divide both sides by 5
5x ÷ 5 = 35 ÷ 5
Simplfy:
x = 7
have a wonderful day
Answer:
B. 3408pi
Step-by-step explanation:
formula volume of cone = 1/3 x pi x r x r x h
volume = 1/3 x pi x 12 x 12 x 71
= 3408pi
Answer: The number of different combinations of 2 vegetables are possible = 15 .
Step-by-step explanation:
In Mathematics , the number of combinations of selecting r values out of n values = 
Given : Number of available vegetables = 6
Then, the number of different combinations of 2 vegetables are possible will be :
Hence , the number of different combinations of 2 vegetables are possible = 15 .
The ratios as fractions are 6/8 and 9/11.
Since they are not compare because they have different denominators you must find the Least Common Multiple of the two fractions.
Since 8 and 11 both can go into 88, we can use that as our denominator.
6/8 times 11/11 equals 66/88 and 9/11 times 8/8 equals 72/88.
66/88 is less than 72/88.
Therefor, Mix B is the reddest mixture.
Hope this helped!! :)
