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Elenna [48]
3 years ago
6

Find the length of the third side.If necessary,write in simplest radical form.

Mathematics
1 answer:
Alika [10]3 years ago
3 0

Answer:

1  2

Step-by-step explanation:

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Related rates(calculus)
telo118 [61]

Answer:

The volume increases at a rate of 125663.71 mm^ 3 / s

Step-by-step explanation:

The rate of change of the radius with respect to time is 4 mm / s.


So:


\frac{dr}{dt} = 4mm / s

Now we must find a relationship between the volume of a sphere and its radius.


The equation of the volume of a sphere is:


V = \frac{4}{3}\pi r^ 3

So:


\frac{dV}{dt} = \frac{4}{3}\pi * 3r ^ 2 * \frac{dr}{dt}\\\frac{dV}{dt} = 4\pi r ^ 2 * 4\\\frac{dV}{dt} = 16\pi r ^ 2

The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.


So:


\frac{dV}{dt} = 16\pi (50) ^ 2\\\frac{dV}{dt} = 40000\pi mm^3 / s


The volume increases at a rate of :

40000 π mm ^ 3 / s = 125663.71 mm^3/s

7 0
3 years ago
Estimate the difference 610-187
Tresset [83]
610-187 is 423 but when you estimate it would be 400 this is your answer
3 0
4 years ago
Read 2 more answers
Jalen had 4 2/3 pounds of modeling clay and used 3 1/2 pounds for a craft project. How many pounds of clay were not used?
Leto [7]
I hope this helps!

The answer would be 1 1/6

just the subtract the two mixed numbers and your done
3 0
4 years ago
Please help me with this one. WILL MARK BRAINLIEST
belka [17]
1. Yes.
cranberry juice : total cups = 1 : 5 in all cases

2. Yes.
cranberry juice : total cups = 2 : 5 in all cases

3. No.
1 : 5 is not the same as 2 : 5.
7 0
3 years ago
A bus covers 270km distance in 6 hours.
pentagon [3]

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time =  251 miles.

7 0
2 years ago
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