Solve the problem. The area of a circle varies directly as the square of the radius...
Find the radius of a circle which has a sector of area 21 square inches determined by a central angle one half radian radian. (type an integer or decimal rounded to three decimal places as needed.) R- _____ inches
t varies directly as the square root of l. If l=81, then t=10 what is the constant proportion?1. a is directly proportional to b. If a = 15, then b = 92. M varies directly as n. If n = 2/3, then m = 1/43. T varies as the square root of L. If L = 81, then T = 104. Z is proportional to the cube of d. If d = 2 then z = 55. f varies directly...
A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and the sides of the square are decreasing at a rate of 5 meters per day. When the radius is 5 meters, and the sides are 18 meters, then how fast is the AREA outside the circle but inside the square changing?
college algebra word problem as heat in a resistor varies directly with the square of the voltage and The power, in watts, dissipated. aversely with the resistance. If 70 volts are placed across a 70-ohm resistor, it will dissipate 70 watts. What voltage across a 10-ohm resistor will dissipate 250 watts?
The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 45 miles per hour? A) 141.75 ft B) 154.05 ft C) 142.09 ft D) 121.5 ft
A circle of radius r has area A = πr . If a random circle has a radius that is uniformly distributed on the interval (0, 2) what is the mean of the area of the circle?
10. The time,t,in seconds varies directly with the square root of the distance, d, in feet that a dropped ball has fallen. It takes 2 seconds for a ball to fall 64 feet. a. Find a formula to model this situation. b. How long would it take for the ball to fall 100 feet?
Create a class named Circle with fields named radius, diameter, and area. Include a constructor that sets the radius to 1 and calculates the other two values. Also include methods named setRadius() and getRadius(). The setRadius() method not only sets the radius, but it also calculates the other two values. (The diameter of a circle is twice the radius, and the area of a circle is pi multiplied by the square of the radius. Use the Math class PI constant...
Write a shell script that given a radius, calculates the area of a circle. (Hint – don’t write this from scratch. Find another script that reads user input and performs a calculation, then modify it to meet your needs.) Save the script in your home directory with the name circle.sh The formula for calculating the area is: Area=Π*Radius2 You can use 3.14 for Π, and either do Radius*Radius or Radius^2 to get the square of the radius. Use the scale...
Solve the following truss problem. All truss members are ANSI 2x2x0.25 hollow square tubes (with rounded corners) for which the cross-section area is A-1.5891 in2. The material has a modulus of E-29E6 psi. Length of element 1 and 5 is L-20 inches, and length of element 3 and 6 is 2L 40 inches. 7 5 6 P-1000 lb 2. 1. Solve in an Excel spreadsheet using the truss element. Note that there are only four different element stiffness matrices (look...