Answer:
Dimensions will be 4 * 2 cm.
Step-by-step explanation:
l = length of rectangle and w = width
Perimeter = 2l + 2w = 12
l + w = 6.
---> l = 6 - w
Volume of the cylinder
V = πr^2l
w = 2πr
--> r = w/2π
l = 6 - w so
V = π(w/2π)^ 2 * (6 - w)
---> V = w^2/4π (6- w)
---> V = 3w^2/ 2π - w^3/4π
Differentiating:
dV/ dw = 6w/ 2π - 3w^2 / 4π
= - 3(w - 4)w / 4π
This equals 0 for maximum volume
- 3(w - 4)w / 4π = 0
w = 0 or w = 4
Answer:
see attached
Step-by-step explanation:
Each partial product is 47 times 5 = 235. When you write the sum, you need to pay attention to place value. (That is, 47×50 = 2350.)
Working right to left, we generally compute the partial products as ...
47 × 55 = 47 × 5 + 47 × 50 = 235 +2350
Answer:
Step-by-step explanation:
f(-1)=3*-1^2-6
=3*1-6
=3-6
=-3
Answer:
20%, 1/5, 0.2
Step-by-step explanation:
<u><em>Verify each case</em></u>
case 1) we have
20%, 1/4, 0.2
we know that


therefore

This group not represents equivalent ratios
case 2) we have
25%, 1/4, 0.2
we know that


therefore

This group not represents equivalent ratios
case 3) we have
20%, 1/5, 0.2
we know that


therefore

This group represents equivalent ratios
case 4) we have
25%, 1/5, 0.2
we know that


therefore

This group not represents equivalent ratios