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OLga [1]
3 years ago
6

A cylinder has a volume of 245 cubic units and a height of 5 units. the diameter of a cylinder is?

Mathematics
2 answers:
xenn [34]3 years ago
7 0

Answer:

<u><em>14 Units</em></u>

Step-by-step explanation:

A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is

7 units

<u><em>14 units</em></u>

49 units

Odyssey

Vadim26 [7]3 years ago
4 0
Volume = <span>πd^2h/4
245 = </span><span>π x d^2 x 5/4
d^2 = (245 x 4)/5</span><span>π = 62.39
d = sqrt(62.39) = 7.9 units
</span>
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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th
FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

 

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

 

Answer:

<span>George will choose some of each commodity but more y than x.</span>

7 0
3 years ago
Pls help me
cricket20 [7]

Answer:

No solution because it is minus 9

6 0
3 years ago
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Yuuma applied the steps below to find the product of (–10.2)(–16.4).
goblinko [34]

Answer:

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Step-by-step explanation:

(16.4)(10)+(16.4)(0.2)

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2 years ago
The area of a rectangular rug is given by the trinomial r^2 - 8r - 33. What are the possible dimensions of the​ rug? Use factori
Arte-miy333 [17]
Solve for r using factoring:
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Split into two equations:
r - 11 = 0 or r + 3 = 0

Add 11 to both sides:
r = 11 or r + 3 = 0

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If you spend 7 hours a day sleeping what fraction of the day are you asleep?
Viktor [21]

Answer:

7/24

Step-by-step explanation:


3 0
3 years ago
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