What Is The Prime Factorization of 212.

1 answer:

6 0

212
/ \
2 106
/ \
2 53

2800
/ \
2 1400
/ \
2 700
/ \
2 350
/ \
2 175
/ \
5 35
/ \
5 7
/ \
7 1

900
/ \
2 450
/ \
2 225
/ \
3 75
/ \
3 25
/ \
5 5
/ \
5 1

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Solve the following numerical problems. a. If a bus travels 6 km in 10 minutes, what distance does it travel in 1 secon

Alex17521 [72]

Answer:

10 meters

Step-by-step explanation:

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2 years ago

nekit [7.7K]

Answer: $2,160\ ft^3$

Step-by-step explanation:

The first step is to find the ratio of the lengths.

According to the information given in the exercise, one the solids has edges of 12 feet and the other solid has edges of 24 feet.

Therefore, the ratio of the length of the smaller solid to the length of the is the following:

$k=\frac{24\ ft}{12\ ft}\\\\k=2$

Now, the ratio to the volumes of the smaller solid to the other one is the following:

$k^3=2^3=8$

Then, knowing that the volume of the smaller solid is:

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3 years ago

Please help! 56 points. Greatly appreciated!

VashaNatasha [74]

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The first thing you should do for this case is to draw the ordered pairs in the plane and join the points.

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At = (8) * (4.5) + (1/2) * (4) * (2.5) = 41

answer

the area of the city is 41 units^2

Step-by-step explanation:

41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.

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3 years ago

Graph the Image of ARST after a translation 3 units right and 9 units up.

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It would look something like this just with lines