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Alex73 [517]
3 years ago
8

Help please

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0
On the map the ratio is 3cm:4km
The map distance is 24cm

Our overall ratio is 3 : 4
24 : ?
We can find the scale factor by doing 24/3 which is 8. Then do 8 x 4 = 32km

The actual distance is therefore 32km
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Simplify the expression
AlexFokin [52]

Answer:

B

Step-by-step explanation:

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Vika [28.1K]

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cluponka [151]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 3 centimeters. Assuming the balloon i
Anni [7]

Answer:

The radius is growing at the rate of 0.09 centimeter per second at the instant it pops.            

Step-by-step explanation:

We are given the following information in the question:

A spherical balloon is designed to pop at the instant its radius has reached 3 centimeters.

The balloon is filled with helium at a rate of 10 cubic centimeters per second .

\displaystyle\frac{dV}{dt} = 10~cm^3/sec.

We have to find fast the radius is growing at the instant it pops.

Volume of spherical balloons =

\displaystyle\frac{4}{3}\pi r^3

Differentiating, we get,

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

Putting the values, we get,

10 = 4\times 3.14\times (3)^2\times \displaystyle\frac{dr}{dt}\\\\\frac{dr}{dt} = \frac{10}{4\times 3.14\times (3)^2} = 0.0884 \approx 0.09\\\\\frac{dr}{dt} = 0.09\text{ centimeter per second}

The radius is growing at the rate of 0.09 centimeter per second at the instant it pops.

4 0
2 years ago
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