Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² × 
= π × 18² × 
= 324π × = 54π in²
area of Δ ABC = 
× 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )
Forty-five and twenty-three hundredths.
In general, with decimals, the first place value after the decimal is read as a tenth, the second is read as a hundredth, the third is read as a thousandth, and so on. In front of the decimal, we know that 4 is in the tens place and 5 is in the ones place, so we say forty-five. Past the decimal, 2 is in the tenths place (think about how 2/10 = .2, which is "two-tenths") and 3 is in the hundredths place (think about how 23/100 = .23). You read the number after the decimal like normal ("twenty-three," "two-hundred fifteen," etc), then you add the place ("tenths, hundredths, ten-thousands") at the very end.
Answer:
1492.885
Step-by-step explanation:
the whole circle has 360° and an area of pi*r² =pi*24²=pi* 576
for 360° and A=pi*576
for 360-63= 297° and A= (297*576*pi) / 360 = 1,492.885 m²
Answer:
3645 rabbits after 6 months.
Step-by-step explanation:
The population of a rabbit colony triples each month.
This means that the population of the colony after t months is given by:
In which P(0) is the initial population.
The population started with 5 rabbits.
This means that 
So
How many rabbits are there after 6 months?
This is P(6). So
3645 rabbits after 6 months.
