Answer:
<u>551 square centimeters</u>
Step-by-step explanation:
Finding the radius (r) :
- C = 2πr
- 83.21 = 2 x 3.14 x r
- 83.21 = 6.28r
- r = 83.21/6.28
- r = 13.25 cm
Finding the area :
- A = πr²
- A = 3.14 x (13.25)²
- A = 3.14 x 175.5625
- A = <u>551 square centimeters</u> (nearest whole number)
<u></u>
The area of this hub cap is about <u>551 square centimeters</u>.
0.5h(115 + 85) = 6550
0.5h(200) = 6550
100h = 6550
h = 655 cms
height is 655 cms
No 10 yards equals 360 inches
Answer:
-12 and 1
Step-by-step explanation:
If you multiply 12 by 1 you get 12, hence if you add -12 and 1 now you will get -11
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
