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Contact [7]
3 years ago
7

An 18-meter-tall cylindrical tank with a 4-meter radius holds water and is half full. Find the work (in mega-joules) needed to p

ump all of the water to the top of the tank. (The mass density of water is 1000 kg/m3. Let g = 9.8 m/s2.
Mathematics
1 answer:
Sliva [168]3 years ago
7 0

Answer:

W = mgh

W = 226290 x 9.8 x 9

W = 19958778Joules

W= 19.958778MegaJoules

Step-by-step explanation:

Work to full the tank is

W = mgh.

m is the mass of the water.

But density = mass/volume, where volume is the volume of the complete the remaining half full of water to fill the cylindrical tank.

mass = density x volume.

Volume of cylinder = πr2h

Volume to fill the cylinder = (πr2h)/2.(half of total volume)

Volume = (22x4x4x9)/(7x2). Height used is 18/2 = 9m

Volume = 226.29m3.

Mass = density x volume= 1000 x 226.29 = 226290kg

Therefore, the work is

W = mgh

W = 226290 x 9.8 x 9

W = 19958778Joule = 19.958778MegaJoules

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Answer:

Right Isosceles

Step-by-step explanation:

First, let's see if this triangle is Acute, Obtuse or Right.

We see that PB and QB are perpendicular lines, meaning that they form a right angle.  Therefore, triangle PQB is a right triangle.

Next, let's see if this triangle is equilateral, isosceles or scalene. PB and QB are congruent side lengths but PQ is not congruent to either PB or QB. Therefore, because two of the side lengths are congruent to each other and one is not, then triangle PQB is a isosceles triangle.

In conclusion, triangle PQB can be categorized as a right isosceles triangle.

Hope this helps!

3 0
3 years ago
Consider a credit card with a balance of $7000 and an APR of 16.5 %. If you want to make monthly payments in order to pay off th
shtirl [24]

9514 1404 393

Answer:

  $7641.24

Step-by-step explanation:

The amortization formula tells the payment amount.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is paid off in t years with n payments per year at interest rat r.

Using the given values, we find ...

  A = $7000(0.165/12)/(1 -(1 +0.165/12)^-12) = $7000×0.01375/(1 -1.01375^-12)

  A = $636.77

The total of 12 such payments is ...

  $636.77 × 12 = $7641.24

You will pay a total of about $7641.24.

_____

<em>Additional comment</em>

Since the payment amount is rounded down, the actual payoff will be slightly more. Usually, the lender will round interest and principal to the nearest cent on each monthly statement. The final payment will likely be a few cents more than the monthly payment shown here.

7 0
2 years ago
In this line of ,the ratio of red circles to blue circles is 1:3 , How many more red circles would need to be added to make the
avanturin [10]

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5 0
3 years ago
Determine whether the relation describe c as a function of w.
Delicious77 [7]

Answer:

Function:

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

Step-by-step explanation:

Yes, the relation described can be interpreted as a function.

Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

As described in the question, the relation can be expressed as a function.

c can be expressed as a function of w in the following manner:

c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable

c = f(w) = 0.49, 0 < w ≤ 1

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5 0
3 years ago
Please help with this question ASAP!
Naddik [55]

Answer:

8w : 3.8974342 ≈ 3.9 or 4 (hope it help)

Step-by-step explanation:

1w : 2

2w : 2 + 10% = 2.2

3w : 2.2 + 10% = 2.42

4w : 2.42 + 10% = 2.662

5w : 2.662 + 10% = 2.9282

6w : 2.9282 + 10% = 3.22102

7w : 3.22102 + 10% = 3.543122

8w : 3.543122 + 10% = 3.8974342

3.8974342 ≈ 3.9 or 4

6 0
3 years ago
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