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guapka [62]
2 years ago
10

On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.

Mathematics
2 answers:
ollegr [7]2 years ago
6 0

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

  • Using a ruler draw line AB 4 inches  and label the end points A and B
  • At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
  • Mark that point C.
  • Using the ruler, join point C and B and measure BC.

From calculation, length BC can be found by the formula;

BC=\sqrt{a^2+b^2-2*a*b*cosA}------where a=b=4 in , cos A = cos 60°

BC=\sqrt{4^2+4^2-2*4*4*cos60}

BC = 4 in

mylen [45]2 years ago
5 0

Answer:

bc = 4

Step-by-step explanation:

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Roger is measuring the length of a hanging spring as various weights are added to it. Using these measurements, he obtained the
blondinia [14]
B.) the length of the spring increases by 0.006 cm for every gram added to it.
 y = 0.006x + 11.50
where:y = length of the spring in centimetersx = mass added to the spring in grams11.50 = the first number in the sequence0.006 = the common difference among numbers in the sequence.
x       y1      11.5 + 0.006(1) = 11.50 + 0.006 = 11.506  2      11.5 + 0.006(2) = 11.50 + 0.012 = 11.5123      11.5 + 0.006(3) = 11.50 + 0.018 = 11.5184      11.5 + 0.006(4) = 11.50 + 0.024 = 11.5245      11.5 + 0.006(5) = 11.50 + 0.030 = 11.530
For every 1 gram added, the length of the string increases by 0.006cm
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