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
We can solve this by multiplying those two numbers but we place them in improper fraction.
2 1/2 x 2 1/4
becomes
5/2 x 9/4
for fraction multiplication, just multiply numerator by numerator and denominator by denominator
5/2 x 9/4 = 45/8
we can simplify this into mixed fraction while numbers in whole numbers and remainder in numerator
5 5/8 is the answer
A. A= 4
b. b= 5.6
c. c=4
d. e= 3.2
Answer:

Step-by-step explanation:
The standard equation of a straight line is of the form:

We have to convert the given equation into above form.
Simplifying the given equation:


.- This is in standard form
where 
The answer is 7/10 because the even values are 2,4,6, and the others are 7,8,9,10. Added together, it adds up to 7/10