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Alja [10]
3 years ago
10

One bag holds 12 bolts.Several bags filled with bolts are packed into a box and shipped to the factory. The box contains a total

amount of 2,760 bolts. How many bags of bolts are in the box?
Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0
To do this, divide 2,760 by 12.  This gives you 230.  There are 230 bags of bolts in the box.

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rjkz [21]

The balloon has a volume V dependent on its radius r:

V(r)=\dfrac43\pi r^3

Differentiating with respect to time t gives

\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}

The surface area of the balloon is

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\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}

4 0
3 years ago
Answer with steps thnx
expeople1 [14]

Answer:

The area is 432cm squared.

Step-by-step explanation:

To find the area, first you split the figure into 2 rectangles.

The rectangle facing up would be 8cm by 30cm, and the rectangle pointing to the left would be 8cm by 24cm (because you subtract 8 by 32). Next, with those numbers, you can easily find the area. 8cm x 30cm equals to 240cm squared, and 8cm x 24cm equals to 192cm squared. Lastly, you add the both of the areas together, 240cm and 192cm, and you get 432cm squared.

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Answer:

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