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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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Answer:

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Answer:

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4 0
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Read 2 more answers
Suppose that $1200 is invested at 612%, compounded quarterly. How much is in the account at the end of 5 years?
asambeis [7]

Answer:

\$1,656.50  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$1,200\\ r=6\frac{1}{2}\%=6.5\%=6.5/100=0.065\\n=4  

substitute in the formula above

A=1,200(1+\frac{0.065}{4})^{4*5}  

A=1,200(1.01625)^{20}  

A=\$1,656.50  

5 0
2 years ago
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