Answer:
Step-by-step explanation:
All magnets have two poles -- arbitrarily called North and South; a magnet is characterized by the magnetic force it creates.
Answer:
x = minutes of Tori's podcast = 88 minutes
y = minutes of Wendy's podcast = 129 minutes
Step-by-step explanation:
Let
x = minutes of Tori's podcast
y = minutes of Wendy's podcast
40x + 16y = 5,584 (1)
27x + 11y = 3,795 (2)
Multiply (1) by 11 and (2) by 16
440x + 176y = 61,424 (3)
432x + 176y = 60,720 (4)
Subtract (4) from (3) to eliminate y
440x - 432x = 61,424 - 60,720
8x = 704
x = 704/8
x = 88
Substitute x = 88 into (1)
40x + 16y = 5,584 (1)
40(88) + 16y = 5,584
3,520 + 16y = 5,584
16y = 5,584 - 3,520
16y = 2,064
y = 2,064/16
y = 129
x = minutes of Tori's podcast = 88 minutes
y = minutes of Wendy's podcast = 129 minutes
Volume of cone = 1/3 pi r(squared).h
Volume of Cylinder = pi r(squared).h
By the problem, they are equal.
So,
1/3 pi.12^2.12= pi 8^2.h
h= 144.4/64 =9
height of the cylinder is 9cms
Part A
Kimberly runs faster because she runs at a pace of 5 miles per hour rather than Becca running at 4.5 miles per hour
Part B
Kimberly runs 25 miles, Becca runs 22.5 miles
(x - 4)(x^2 + 3x + 2) =
x(x^2 + 3x + 2) - 4(x^2 + 3x + 2) =
x^3 + 3x^2 + 2x - 4x^2 - 12x - 8 =
x^3 -x^2 - 10x - 8