1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olenka [21]
3 years ago
11

The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu

s. The ball follows a straight-line path, and exits the green at the right-most edge. Assume the ball travels 11 ft/sec. Introduce coordinates, so that the cup is the origin of an xy-coordinate system. Provide numerical answers below, with two decimal places of accuracy. Ball starts at (-40,-50). Suppose that L is a line, tangent to the boundary of the golf green, and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q.
Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

You might be interested in
BASEBALL Tonisha hit a baseball into the air with an initial upward
adoni [48]

Answer:

I like baseball

Step-by-step explanation:

because I like baseball

6 0
2 years ago
What is a quick picture for 0.51
Zarrin [17]
Hello! Draw a hundred (I know, it's tedious!) circles. Make a giant bracket around them all and label it "One Whole". Then color in 51 of those circles.

I hope this helps!
7 0
3 years ago
What is the area of a rectangle that has lenghts of 2/5 foot and 3/8
spin [16.1K]
0.15 as fraction or multiply 3/8 and 2/5
8 0
3 years ago
Read 2 more answers
Help me with my little brothers test i have a pdf document of the test and i need a answer key!!
mina [271]

Answer:

c

Step-by-step explanation:

it starts at (0,0) and follows the points best

5 0
3 years ago
Andy has 3 different sticker books filled with a variety of stickers. Her Grandma gave her 10 more stickers.
dsp73

Answer:

3x+10>10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.
    15·1 answer
  • Simplify:<br> 14 1/4−12 4/5
    13·1 answer
  • Given AD || GJ. Refer to the figure and provide an appropriate name for BCF and GHF.
    7·2 answers
  • The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −7 0 −1 1 5 g(x) g(x) =
    5·1 answer
  • What is 708569 to the nearest ten thousands
    5·1 answer
  • in an organization, per day profit on x items is given by P(x) = x - 252 If the profit for x is 1024 what is the number of items
    11·1 answer
  • Which list shows the fractions in order from least to greatest?
    12·2 answers
  • What’s 4 divided by $5.32
    8·1 answer
  • Cos inverse a+b/a-b =?
    15·1 answer
  • Please help me with this assignment please! I need help with each one...
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!