Answer:
The diameter of the pond is 38 m.
The radius of the pond is 19 m.
The area of the pond is 361 m^2.
Step-by-step explanation:
We know that the circumference C of a circle is equal to

In this case, C is equal to 120 m.
The diameter is then:

Rounded to the nearest whole number, the diameter is D=38 metres.
The radius is equal to half the diameter, so the radius of this pond is R=19 metres.

The area can be calculated from the radius as:

The area is 361 m^2
Answer:
1.97 ounces
Step-by-step explanation:
-The exponential decay function is given by the formula:

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.
#We substitute and solve for the amount remaining after 21days of decay:

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces
30 = 60% of x
x being our variable, we need to figure out what x equals. Use the formula I put in the attachment. Multiply 30 by 60, and then divide the product by 100. That will give you the answer :)
Hello from MrBillDoesMath!
Answer:
No. That problem cited is one of 3 great unsolved problems of antiquity. See https://en.wikipedia.org/wiki/Angle_trisection for details.
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!