You do the number of toys they make(X) times the hours they work(T). Then multiply all of it by the number of elves(e). All of that equals the 1000 toys they make all together.

5 0

2 years ago

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Find the area of a regular decagon whose apothem is 14 mm.

Alex777 [14]

Answer:

this is not the answer but it might help you find the answer

Step-by-step explanation:

The area of a regular decagon can be calculated using the formula for finding the area of a general regular polygon. Area of a Regular Polygon = 12 x Perimeter x Apothem. The diagram of a regular decagon ABCDEFGHIJ is given above.

3 0

2 years ago

Where e is enclosed by the planes z = 0 and z = x + y + 9 and by the cylinders x2 + y2 = 4 and x2 + y2 = 16?

katrin [286]

Best to use cylindrical coordinates. The volume (assuming that's what you're supposed to find) of the region is given by the triple integral

$\displaystyle\iiint_E\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=2}^{r=4}\int_{z=0}^{z=r(\cos\theta+\sin\theta)+9}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=2}^{r=4}(r^2(\cos\theta+\sin\theta)+9r)\,\mathrm dr\,\mathrm d\theta$
$=108\pi$

4 0

2 years ago

The perimeter of a​ standard-sized rectangular rug is 2828 ft. the length is 22 ft longer than the width. find the dimensions.

The perimeter of a standard-sized rectangular rug is 2828 ft. the length is 22 ft longer than the width. find the dimensions.