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Snowcat [4.5K]
3 years ago
7

Two goals post are 8m apart. A footballer is 34m from one and 38m from the other. Within what angle must he kick the ball if he

is to score a goal?​
Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

  11.06°

Step-by-step explanation:

The law of cosines can be used to find the angle. The sides adjacent to that angle are a=34, b=38, and the side opposite is c=8. Then the angle is found from ...

  c² = a² +b² -2ab·cos(C)

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

  C = arccos((34² +38² -8²)/(2·34·38)) = arccos(317/323)

  C ≈ 11.06°

From the footballer's viewpoint, the goal posts are 11.06° apart.

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Which graph shows the same end behavior as the graph of f(x) = 2x6 - 2x2 - 5?
aleksandrvk [35]

Step-by-step explanation:

End behavior of a polynomial function is the behavior of the graph of f(x) as x tends towards infinity in the positive or negative sense.

  Given function:

            f(x)  = 2x⁶   -    2x²   -  5

To find the end behavior of a function:

  • Find the degree of the function. it is the highest power of the variable.

  Here the highest power is 6

  • Find the value of the leading coefficient. It is the number before the variable with the highest power.

   Here it is  +2

We observe that the degree of the function is even

         Also the leading coefficient is positive.

For even degree and positive leading coefficient, the end behavior of a graph is:

x → ∞ , f(x) = +∞

x → -∞ , f(x) = +∞

The graph is similar to the attached image

Learn more:

End behavior brainly.com/question/3097531

#learnwithBrainly

6 0
3 years ago
Help please!!!!!!!!!!!
Darya [45]

Answer:

The second one

Step-by-step explanation:

5 0
2 years ago
In the diagram, what is the value of x ?
nexus9112 [7]
Your answer is 98. Is there a multiple choice?
8 0
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Write a numerical expression for the verbal expression. the sum of two an four and six times eight
Trava [24]
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A civil engineer is designing a public parking lot for the new town hall. The number of cars in each row should be six less than
alisha [4.7K]

The equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

<h3>How to determine the equation</h3>

Let the number of rows be x

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Number of rows for parking lot = 2x

Then,

Number of cars for new parking lot = 2x ( x - 6 = 56)

Expand the expression,

2 ( x - 6 = 56)

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Thus, the equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

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7 0
1 year ago
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