Mathematics
08.01.2020 11:58
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A scale drawing of an ant uses a scale of 1 centimeter = 2.5 millimeters. If the

A scale drawing of an ant uses a scale of 1 centimeter = 2.5 millimeters. If the actual ant is 10 millimeters long, find the length of the ant on the drawing.
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astultz309459
astultz309459
4,5(63 marks)

4 Centimeters

Step-by-step explanation:

If 1 centimeter is 2.5 millimeters, then 4 centimeters is 10 millimeters because 2.5 x 4 = 10 or 10/2.5 = 4

nininichole431
nininichole431
4,4(67 marks)
For the third problem, your work should look like this:

-b +/- √b^2 - 4ac  /  2a               Plug in what you know

-4 +/- √4^2 - 4(6)(-3)  /  2(6)       Simplify

-4 +/- √4^2 + 72  /  12              

-4 +/- √16 + 72  / 12

-4 +/- √88 / 12      (The -4 and 12 can be simplified since they are constants.)
 
 
-1 +/- √88  /  3      (√88 can be broken down)

√88 = 2√22               this means that you should now have:

-1 +/- 2√22  /  3

Now you have 2 different answers

If they want the exact answers, leave the answers as what you have. If they want an approximation as your answer, then simplify the problem further. 

For exact answers:

answer 1:                                           answer 2:

-1 + 2√22  /  3                                    -1 - 2√22  /  3

For completely simplified answers:

answer 1:                                             answer 2:

-1 + 9.38  /  3                                       -1 - 9.38  /  3

8.38  /  3                                              -10.38  /  3

x = 2.79                                               x = -3.46

Note that the 9.38 is a rounded value. It is not the exact decimal because it was rounded to the nearest hundredths place.

Also note that the first answer is rounded to the nearest tenths place.

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