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lakkis [162]
3 years ago
6

Please give me a long answer! Thank you!

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

10/12 can be approximated by 1

3/8 can be approximated by 1/2

so the answer to the subtraction must be really close to 1-1/2 = 1/2 = 0.5

Step-by-step explanation:

The real solution can be found by converting to numerator 24, which is the LCM, or Lowest Common Multiple of numerators 12 and 8.

10/12 = 20/24

3/8 = 9/24

Now the subtraction is (20-9)/24 = 11/24 ≈ 0.4583

So the actual result 0.4583 is actually pretty close to 0.5.

A benchmark value is nothing more than a really simple fraction or integer (1/2,  1/3, 1, 2, ...) that you know where to plot on the number line.

Making approximations can serve as a double check to see if you didn't make any mistakes on the actual calculation.

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Find RS. A. 5 B. 10 C. 9 D. 12
777dan777 [17]

Answer:

x=9

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Read 2 more answers
100 pints help would be greatly appreciated
Veronika [31]

Answer:

  (4, -2)  (see attached)

Step-by-step explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

__

<h3>vector components</h3>

The components of the vectors are ...

  u  = (1, -2)

  v = (-6, -6)

Then the components of the vector sum are ...

  2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

  2u -1/3v = (4, -2)

<h3>graphically</h3>

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.

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1 year ago
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