Mathematics, 28.09.2019 21:30 microwave13016

Adime is 1.25 mm thick. how many meters high would a stack of dimes worth $50 be?
a. 0.00625 m
b. 6.25 m
c. 625 m
d. 0.625 m not sure if i'm dividing it right but i just need to make sure i'm doing it right, the answer i got was6.25m

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1.25mm x 50 = 62.5 mm Now lets change mm to meters. There are 1000 millimeters in a meter and we are only talking about 62.5 so we are not even at a single meter. Answers B and C can be eliminated.

meter decimeter centimeter millimeter (each one is ten times more or less than the previous one depending on where you start.
Since we are changing mm to m, we will get fewer. Why - try grouping any small things like 14 days - you get 2 weeks. 72 hours - you get 3 days. Notice that the number gets lower. 14>2 and 72>3
So we can expect our number to get smaller. The beauty of the metric system it that is based on 10 so it involves moving decimals and adding or subtracting zeros if needed.
meter dm cm mm
62.5
notice that it would take 3 "jumps" to the left to get it under the word meter. That means our decimal has to move 3 jumps to the left too. In order to do that we need to add a zero in front of the 6 in 62.5
Correct answer is 0.0625 which is none of the answers above - Notice that the decimal is 3 places left from where it was before (62.5).

Answer from: Quest

geometry: triangles

solvers

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

Answer from: Quest

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6 = 0.00000180

1.80 x 10-4 = 0.000180 (bigger, or "less small", than the former one)

1.8 x 10-2 = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

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Adime is 1.25 mm thick. how many meters high would a stack of dimes worth $50 be?
a. 0.00625...

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