Answer:
245 yards
Step-by-step explanation:
You could say the tee is at (0, 0) and the hole lies on the x-axis.
The path of the ball is the straight-line so, y = tan(24°)x
215cos(24°) = 196.4
215sin(24°) = 87.4
The ball lands at coordinates (196.4, 87.4).
They say the ball lands 100 yards from the hole, the hole is on a circle of radius 100 that is centered at (196.4, 87.4).
Equation of the circle:
(x-196.4)² + (y-87.4)² = 100²
Since the hole is on the x-axis, it lies at the intersection of the circle and the line y = 0 so:
(x - 196.4)² + (0 - 87.4)² = 100²
x = 244.92
The distance between tee and hole is 245 yards.
Answer:
245 yards
Step-by-step explanation:
-3x - 2y = -12
A. (2, 3)
B. (1, -2)
C. (-2, 9)
D. (3, 8)
What is the solution to the systems of equations represented by the 2 equations?
y = 4x + 3
y = -x - 2
A. (1, 7)
B. (-1, -1)
C. (2, -4)
D. (-3, -9)
A family went to an amusement park and paid $12 for each adult and $8 for each child. A group of 15 people went to the park and it cost $140. This system of equations models this situation, where x is the number of adults and y is the number of children.
How many children were in the group?
x + y = 15
12x + 8y = 140
Answer: 1) A. (2, 3)
2) B. (-1, -1)
3) 10 children
Step-by-step explanation:
1)
Since the y is already isolated in the first equation, to solve the system you simply substitute that expression into the second equation and then solve, finding the value of x:
And then you substitute that value into the first equation and solve to find the value of y:
So, the solution of the system is (2, 3).
2)
Since the y is already isolated in both equations, to solve the system you simply equalize the first and the second expression and then solve, finding the value of x:
And then you substitute that value into the first or the second equation (whichever you like) and solve to find the value of y:
So, the solution of the system is (-1, -1).
3)
To solve the system, the easiest way is to isolate the y in the first equation and then substitute the expression obtained into the second equation, finding the value of x.
From the first equation:
Substituting:
And then you substitute that value into the first equation and find the value of y:
So, there were 10 children in the group.
B.Side = 16 cm, side = 9 cm, side = 7 cm
C.Side = 17 cm, side = 12 cm, side = 7 cm
D.Side = 17 cm, side = 11 cm, side = 5 cm
Answer:
It would be C
Step-by-step explanation:
8:3
The ratio of low-fat to chocolate milk is:
for every 40 gallons of low-fat milk, there is 15 gallons of chocolate milk:
so, 40:15....... but each number is divisible by 5, so
40/5:15/5 = 8:3
Hope this helps you!
Have an amazing rest of your day :)