Answer:
8 - 2π square units.
π/16 - 1/8 square units.
6π - 9√3 square units.
Step-by-step explanation:
The area of the square = 2√2 * 2√2
= 2*2*2
= 8.
The area of the circle = πr^2
= π * [ ( 2√2)/ 2) ]^2
= π (√2)^2
= 2π.
Second Question:
The area of the circle = π(1/2)^2 = π/4.
Finding the area of the square:
1^2 = 2x^2
x^2 = 1/2
So the area of the square = 1/2
So the area of the red part = 1/4 ( π/4 - 1/2).
= π/16 - 1/8.
Third question
Area of the circle = 6^2 * π = 36π.
Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.
The area of the segment = 6π - 0.5 * 6^2 sin 60
= 6π - 18√3/2
= 6π - 9√3 square units.
Answer:
13.86
Step-by-step explanation:
formula for cont. compounding interest is
Amount = Principal * e^rt
in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.
sub in to get:
10000 = 5000e^0.05t
2 = e^0.05t
now convert to log form.
ln 2 = 0.05t
ln 2 / 0.05 = t
punch that into your calculator and you get 13.86 years
111/210 = about 53%. 52.85714% of 903 is 477.3 students. of course you can't have a fraction of a student so it is 477 students
Answer:
Y is greater than or equal to 1/2x + 20
Y is less than or equal to 2/3x + 80
X is greater than or equal to 1200
X is less than or equal to 1850
Step-by-step explanation:
trust
Answer:
1. 50
2. 5
3.19
Step-by-step explanation:
