There are no expressions...
The coordinates of a particle of water "t" seconds after it leaves the end of the fire hose will be
.. (x, y) = (38.4*cos(47.5°)t, -4.9t^2 +38.4*sin(47.5°)t)
Solving for t, we have
.. t = x/(38.4*cos(47.5°)
For x = 25.7 meters, t is about 0.99065 seconds.
Then y will be
.. -4.9*(0.99065)^2 +38.4*sin(47.5°)*0.99065 = 23.238 . . . . meters
The water will hit the building about 23.24 meters above the height of the hose.
Answer:
Eric practiced the piano for 2 hours this week
Step-by-step explanation:
If it tells us that Eric spent 1/4 of the time playing the piano and all the time he practice this week was 8 hours, then we have to multiply the 8 hours by 1/4
p = time he practice piano
p = 8h * 1/4
p = 2h
Eric practiced the piano for 2 hours this week
Answer:
The equation of the line best fit is y = x + 12
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (2, 14) and (10, 22)
∴ x1 = 2 and y1 = 14
∴ x2 = 10 and y2 = 22
→ Substitute them in the rule of the slope above to find it
∵ m =
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = (1)x + b
∴ y = x + b
→ To find b substitute x by 2 and y by 14 in the equation
∵ 14 = 2 + b
→ Subtract 2 from both sides
∴ 14 - 2 = 2 - 2 + b
∴ 12 = b
→ Substitute it in the equation
∴ y = x + 12
∴ The equation of the line best fit is y = x + 12
11 centimeters is the length of the launch pad