Answer:
Option A.
Step-by-step explanation:
step 1
Find the volume of the sphere ( medicine ball)
The volume is equal to
we have
----> the radius is half the diameter
Convert inches to feet
Remember that
1 ft=12 in
assume
substitute
step 2
Find the weight of the ball
Multiply the volume in cubic foot by 100
Round to the nearest pound
Answer:
120 of design B
Step-by-step explanation:
The profit per dollar cost for design A is (2500/1750 -1) ≈ 0.43. For design B, it is (2100/1200 -1) ≈ 0.75. Design B is more profitable and less expensive to make, so its production should be maximized.
For maximum profit, 120 jogging pants of design B should be made each week.
_____
The budget of 150,000 would allow 150,000/1,200 = 125 pants of design B to be made. The production limit of 120 pants does not use the entire budget.
Answer:
(x +6)^2 +(y +2)^2 = 72
Step-by-step explanation:
The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:
((0, 4) +(-12, -8))/2 = (-6, -2)
The equation of a circle with center (h, k) through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For center (-6, -2) and point (0, 4), the equation is ...
(x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2
(x +6)^2 +(y +2)^2 = 72
