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viva [34]
3 years ago
10

What is the x for this problem??

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

Let's just find the value of the unknown degree next to 35 degrees.

180 - 35 = 145 degrees

Since 145 degrees is the unknown degree next to 35 degrees, it is vertical to the x it will be the same therefore your answer is 145 degrees.

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A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a
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22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

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The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

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Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

Differentiating both sides with respect to time 't', we get:

\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})

Now, plug in 19 cm for 'r', 5 cm per minute for \frac{dr}{dt} and solve for \frac{dV}{dt}. This gives,

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Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

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4 years ago
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