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zaharov [31]
3 years ago
11

A rubber ball has a radius of about 2.86 in. Can the ball be packaged in a box shaped like a cube with a volume of 125 in3?

Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

I am not sure what the values needed to add in / etc, but here is the height of the box: 5

Step-by-step explanation:

A cube is a kind of rectangle where all the sides are the same. So to find volume, cube the length of any side. To find height, calculate the cube root of a cube's volume. For this example, the cube has a volume of 125. The cube root of 125 is 5. The height of the cube is 5.

(hopefully this is correct, have a nice day!)

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An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
4 years ago
What’s the numerator for the following rational expression
Zanzabum
<span>(x/y)+(3/y)=(x+3)/y

the answer is 
the numerator for the following rational expression</span> is x+3

3 0
4 years ago
Given m||n, find the value of x.<br> kt<br> (7-10)<br> (6x-5)°
Dennis_Churaev [7]

Answer:

15

Step-by-step explanation:

So, leets look at the graph.

We can see that the lines being solved for tecnically make up 180 degrees.

This is because the value of the angles on line m are equal to the value of the angles on line n.

So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.

Lets combine these two equations, and subtract them from 180 degrees to solve for x:

7x-1+6x-5

=

13x-15

Now to solve for x:

13x-15=180

Add 15 to both sides to get 13x alone:

13x=195

Then divide both sides by 13 to get x alone:

x=15

So our value of x is 15!

Hope this helps! :)

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Find log1/4 rounded to the nearest hundredth.
erastovalidia [21]

Answer:

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Step-by-step explanation:

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