Answer:
((160/3)π + 16√3) in²
Step-by-step explanation:
Together with the radii of 8 inches, the 8-inch chord creates an equilateral triangle with a central angle of 60°, or π/3 radians.
In problem 1, you found the area of the smaller segment to be ...
A = (1/2)r²·(θ -sin(θ))
For θ = π/3 and r = 8 in, this is (1/2)(8 in)²(π/3 -(√3)/2) = ((32/3)π -16√3) in².
The remaining segment of the circle is the area of the circle less this amount, so is ...
π·(8 in)² -(32/3π -16√3) in² = (160/3π +16√3) in² . . . . larger segment area
Answer:
4x+88=180
First angle is 54°
Second angle is 23°
Third angle is 103°
Step-by-step explanation:
Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57
All angles in a triangle add upto 180°
31+x+x+2x+57 = 180
4x+88=180
Subtract 88 from both sides,
4x = 92
Divide by 4,
x = 23°
31+x = 54°
2x+57 = 2*23 + 57 = 46+57 = 103°
Answer:
24 miles
Step-by-step explanation:
1 inch=8miles
3inchs=24miles
The price of the jeans is 41 dollars and 40 cents
