Let x = one of the side lengths of the base.
Then area of the base = x². So volume of the base = x²h.
That gives us x²h = 20. Solving for x, we get x = √(20/h²).
Glass is needed to cover the sides of the aquarium. There are 4 sides and 1 base. Area of a side = hx = h√(20/h²). Area of the base = x² = 20/h. Total area of glass = h√(20/h²) + 20/h. So the cost for glass = 8 * [h√(20/h²) + 20/h] = 8 h√(20/h²) + 160/h.
Metal frame is needed along the edges of the sides. There are 4 edges on the top, 4 edges in the bottom and 4 vertical edges. So the total length of metal frame = 4x + 4x + 4h = 8 √(20/h²) + 4h. Then the cost for metal frame = 7 * [8 √(20/h²) + 4h] = 56 √(20/h²) + 28h.
So the total cost = 8 h√(20/h²) + 160/h + 56 √(20/h²) + 28h
Volume Formula = Length x Wigth x Highth
Answer:
<u>3/8</u>
Step-by-step explanation:
<u>Values we are given</u> :
- 16 flowers in total
- 6 lilies
<u>We know that</u> :
- Probability of selecting an object from a group of items = Number of objects / Number of items
Therefore,
- Probability of selecting a lily = Number of lilies / Number of flowers
- P = 6/16
- P = <u>3/8</u>
He’d make 13 packages; each one would have 1 player and 3 headphones.
Answer:
r = 3.7 cm
Step-by-step explanation:
19.02 = 1/2π(2radius) + diameter
expanding:
19.02 = 1/2(3.14)(2r) + 2r
19.02 = 3.14r + 2r = 5.14r
r = 19.02/5.14 = 3.7 cm