The diagram shows a plan of a volleyball court as seen from above.Volleyball court
Net
31 m
27 m
Calculate the size of the serving angle A.
Give your answer correct to the nearest degree.
C
The person serving stands at point A and tries to serve the ball somewhere between
point C and B on the edge of the opponent's side.
Do not include the degree symbol in your answer.
9 m
B
Answers
Answer:
To calculate the size of the serving angle A in the diagram of the volleyball court, you can use trigonometry.
You have the following information:
The distance from point A to point C is 9 meters.
The distance from point A to point B is 31 meters.
To find angle A, you can use the inverse tangent (arctan) function:
�
=
arctan
(
�
�
�
�
)
A=arctan(
AC
BC
)
Substitute the values:
�
=
arctan
(
31
9
)
A=arctan(
9
31
)
Now, calculate the angle:
�
≈
arctan
(
3.444
)
≈
73.4
8
∘
A≈arctan(3.444)≈73.48
∘
Rounded to the nearest degree, the size of the serving angle A is approximately 73 degrees.
Step-by-step explanation:
Sure, I'll explain it in a simpler way:
Imagine you're standing at point A on the volleyball court, and you want to serve the ball towards point C or point B. Point C is 9 meters away, and point B is 31 meters away from you.
To find out how wide the angle is between where you stand (point A) and where you want to serve the ball (between points C and B), we can use a special math trick. It's like saying, "How much do I need to aim to the left or right?"
We use something called "arctan" to figure it out. When we do the math, we find that the angle A is about 73 degrees. So, you need to aim your serve at about a 73-degree angle to get the ball between points C and B on the other side of the court.
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(x+3)^2 + (y-4)^ = r^2
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Number of Books Read in a Year:
Number of Books Read in a Year:
Person Books
Lauren 40
40
40
Henry 70
70
70
Jamar 10
10
10
For every books Jamar read, Lauren read books.
Answers
Answer:
Step-by-step explanation:
To express the quantities given in ratio language, we need to determine the ratio between the number of books read by each person.
Lauren: For every 10 books Jamar read, Lauren read 40 books. This can be expressed as a ratio of 40:10, which simplifies to 4:1.
Henry: For every 10 books Jamar read, Henry read 70 books. This can be expressed as a ratio of 70:10, which simplifies to 7:1.
Jamar: Since Jamar is the reference point for the ratios, the ratio for Jamar will always be 1:1.
So, the ratios for the number of books read in a year are:
Lauren: 4:1
Henry: 7:1
Jamar: 1:1
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Answers
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Answers
Answers
Answer:
A.
Step-by-step explanation:
To get to the answer, add both f(x) and g(x) together. This would be (2x^2 +3x -4) + (-4x^2 + 5x - 8). Remember that adding a negative number is the same as subtracting the positive of that number, for example, 3 + (-4) is the same as 3 - 4.