I'm assuming that 5π3 is in fact 5π/3
convert radian to degrees:
5π / 3 = 5(180°) / 3 = 900° / 3 = 300°
Area of the circle = π r²
A = 3.14 * (6 ft)²
A = 3.14 * 36 ft²
A = 113.04 ft²
Area of the sector:
113.04 ft² * 300°/360° = 94.2 ft²
The area of the sector formed by a central angle measuring 5π/3 radian is 94.2 ft²
Decimal pt after 3 digits in first number so 3 digits in product.
Answer: 13 hours
Step-by-step explanation: I divided 60 by 5 to figure out how much she makes a hour and got 12 dollars an hour then I divided 156 by 12 and got the number of hours she worked which was 13
It will be understood that population 6,000 billion (6*10^12) in 2017.
If this is not the case, follow the logic and the final number can be adjusted easily.
Mathematical answer:
In 2017: 6,000 billion=6000*10^9 =6*10^12
rate of increase = 1.3% per year (assumed constant)
final year = 2100
Population estimate in 2100
=6*10^12*(1.013^(2100-2017))
=6*10^12*(1.013^(83)
=6*10^12*(2.921352509198383)
=17.528*10^12
=17,528 billion.
You're on the right track. Start by combining like terms on the left side of the equation by adding 56 and 34.
90 = n + 30, now subtract 30 from both sides of the equation to isolate the variable n.
60 = n is the answer.