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ra1l [238]
3 years ago
14

A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area

of the washer?
547.1 mm2

60.8 mm2

972.6 mm2

243.3 mm2
Mathematics
1 answer:
Lana71 [14]3 years ago
5 0
The area of the washer will be the area of the smaller circle SUBTRACTED from the area of the larger circle.

Area of a circle = pi * r^2 where r is your radius (which is half the diameter).
Larger circle area = pi *(diameter/2) ^2.
Smaller circle area = pi * (13.2/2)^2 = pi * 6.6^2 = 136.8484....

So...the area of the washer = larger circle area - 136.4848...
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Answer:

S'(t) = 0.09t^2 + t + 9

S(2) = 24.24

S'(2) = 11.36

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

\frac{dS(t)}{dt} =S'(t) = 0.09t^2 + t + 9

S(2) is found by applying t=2 to S(t):

S(2) = 0.03*(2^3) + 0.5*(2^2) + 9*2 + 4\\S(2)= 24.24

S'(2) is found by applying t=2 to S'(t):

S'(2) = 0.09*(2^2) + 2 + 9\\S'(2) = 11.36

Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

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