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exis [7]
3 years ago
11

Maricel is programming an archery component of a new video game. In her code, she has created an "auto aim" feature that helps p

layers more easily hit their intended targets.
The code works such that if the player is aimed at
A
AA but instead should be aimed at target
T
TT, the game will automatically adjust the angle at which the arrow is fired directly at
T
TT.
If
A
AA and
T
TT are
15
1515 meters apart in the example below, how many degrees will Maricel's code adjust the shot?
Do not round during your calculations. Round your final answer to the nearest degree.

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0

Answer:

  • <u>12º</u>

<u></u>

Explanation:

The angle Marcel's code adjust the shot can be calculated using the cosine law:

        C^2=A^2+B^2-2|A||B|cos(c)

For the triangle of the figure:

  • C = 15m
  • A = 50m
  • B = 60m
  • c = ? (the unknown angle)

Substitute and solve for c:

      (15m)^2=(50m)^2+(60m)^2-2(50m)(60m)cos(c)\\\\\\225=2500+3600-6000cos(c)\\\\6000cos(c)=2500+3600-225=5,875\\\\cos(c)=5,875/6000\approx0.97917\\\\c=arccos(0.97917)\approx12\º

malfutka [58]3 years ago
6 0

Answer:

Step-by-step explanation:

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A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance a
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Answer: 7 miles/h and 1 miles/h

Step-by-step explanation:

With the speed of current = x + 1

Against the speed of current = x - 1

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4(x-1) = 3(x+1)

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4x - 3x = 3+4

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Step-by-step explanation:

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alukav5142 [94]

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Which fraction has a terminating decimal?<br> - 11/19<br> - 4/7<br> - 1/3<br> - 3/150
babunello [35]
<h3>Answer: D) 3/150</h3>

==========================================================

Explanation:

With the use of a calculator, we see that,

  • 11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion
  • 4/7 = 0.5714285714285714..., the block "571428" repeats forever
  • 1/3 = 0.333333.... the 3s go on forever
  • 3/150 = 0.02

So 3/150 converts to the terminating decimal 0.02

The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.

----------------------

A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.

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3 years ago
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