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Helga [31]
3 years ago
14

What is the surface area of this shape

Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Answer:

54 i think

Step-by-step explanation:

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A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0
3 years ago
Read 2 more answers
the pentagon in washington dc is immense in size, with each outside wall 921 feet in lenght. what is the perimeter of the pentag
KATRIN_1 [288]
A pentagon gas 5 sides. Therefore multiply the length of one side by 5. 921x5=4605 feet
4 0
3 years ago
Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th
Drupady [299]

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

area = 2*\pi*r^2 + 2*\pi*r*h

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}

The surface area of the drum is 3317.5218 square inches.

4 0
3 years ago
Find the area of the kite.
Black_prince [1.1K]
Your answer is 36. hope it helps!
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3 years ago
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Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)
IgorC [24]

Answer:

Step-by-step explanation:

3 0
2 years ago
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