Answer:
r = 2.5
Step-by-step explanation:
the area of the whole circle =
*π * 24
A = πr² = (13π*24)/50
r = √((13*24)/50) = 2.5 inches
In the situation, the number of bacterias are doubling for each sheet of paper cut, thus, the exponential equation for the puber is:

Initially, there was only one sheet of paper. Then, each sheet is cut in half, so we will have 2 sheets, then 4 sheets, then 8 sheets, and so on. That is, the number of sheets is continuously doubling, thus, the population after n cuts can be modeled by the following <u>exponential equation</u>:

A similar problem is given at brainly.com/question/15563161
Answer:
42) 254.47 ft²
43) 56 pendants
Step-by-step explanation:
42)
The radius of a circle is equal to half of its diameter.
Diameter = 18 feet
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet
Area of a circle = π
Substitute in known value of r
Area = π 
Substitute in pi
Area = 3.14 * 
Solve exponent
Area = 3.14159265359 * 81
Area = 254.4690049408
(Rounds to 254.47)
254.47 ft²
43)
1.5 ounces per pendant
3 pieces of silver:
pounds
14 ounces
pounds
Convert to improper fractions (1 lb = 16 ounces)
pounds
pounds
pounds
Find a common denominator for the fractions
pounds
pounds
pounds
Add
+
+
pounds
Find how many pendants can be made out of this amount
pounds
Convert back to ounces (1 lb = 16 ounces)
84 ounces
Amount to make one pendant:
ounces
Convert to decimal
1.5 ounces
Divide 84 by amount of silver per pendant
84 ÷ 1.5
56
The maximum number the pendants that the manufacturer can make is 56
Hope this helps :)
Answer:
Step-by-step explanation:
Total surface area of a cone is given by the expression,
SA = πrl + B
Here, r = Radius of the circular base
l = slant height
B = Surface area of the base
Surface area of the circular base = πr²
= π(5)²
= 25π cm²
Slant height 'AC' = 
= 
= 
= 13 cm
Substitute the values in the expression of surface area,
SA = π(5)(13) + 25π
= 65π + 25π
= 90π cm²
Therefore, SA = 90π cm² will be the answer.