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bogdanovich [222]
3 years ago
10

Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.

Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

First you should note that answer will be under 40 minutes.

1/40 + 1/60 = 1/TimeTotal

The common denominator on the left is 120 minutes

3/40*3 + 2/60*2 = 1/timetotal

3/120 + 2/120      = 1/ timetotal

5/120 = 1/time total  Now to use to the key stop

What you do now is you always turn the left side over. You do the same thing to total time.

120/5 = total time

24 = total time

What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.

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Is anyone able to figure this out, I can't do this
katrin [286]

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

\implies r^2 + r^2 = c^2

\implies 2r^2 = c^2

\implies c=\sqrt{2r^2}

So the diagonal of the square = \sqrt{2r^2}

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

\implies \sqrt{2r^2}+r=1

\implies \sqrt{2r^2}=1-r

\implies 2r^2=(1-r)^2

\implies 2r^2=1-2r+r^2

\implies r^2+2r-1=0

Using the quadratic formula to calculate r:

\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}

\implies r=\dfrac{-2\pm\sqrt{8}}{2}

\implies r=-1\pm\sqrt{2}

As distance is positive, r=-1+\sqrt{2}=\sqrt{2}-1  only

5 0
2 years ago
Read 2 more answers
the figure above, not drawn to scale, consists of a triangle resting on a square of side 5cm. the height of the triangle is 4cm.
andrezito [222]

Answer:

5x4x2

Step-by-step explanation:

6 0
3 years ago
6 + x is an example of<br> a variable<br> an expression<br> a constant<br> a formula
Sloan [31]

Answer:varibale

Step-by-step explanation:

3 0
2 years ago
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What is the missing expression? x 8 + 3x 5 = x5(_____)
Andrej [43]
We have to factor the polynomial.

x^8+3x^5

Find the GCF between 1,3,x,5,8

The GCF is x^5

Divide the polynomial by x^5

x^5(x^3+3)
4 0
3 years ago
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the tria
Free_Kalibri [48]

Answer:

5

Step-by-step explanation:

This is honestly a pure guess, but I am guessing they want you to find a perfect triangle, and 3,4,5 is the smallest perfect triangle. Considering they also said it was a right triangle, I strongly beleive the answer is 5.

6 0
3 years ago
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