Answer:
9.08 hours
Step-by-step explanation:
in order to fill 1 pool
fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour
fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour
combined rate = fill rate by pipe + fill rate by pool
= 1/15 + 1/23 = 38/345 pool per hour
since:
38/345 pool -----------> will take 1 hour
1 pool --------------------> will take 1 hour x (345/38) = 9.08 hours
Answer:
y = 28 degrees
Step-by-step explanation:
First thing: find the value of x. Note that the 34 degree angle and the angle x - 5 are equal because this is an isosceles triangle. Thus, 34 = x - 5, and so x = 39.
Second: the three interior angles must add up to 180 degrees.
Thus, 34 + 39 -5 + 4y = 180.
From this we get:
4y = 180 - 34 - 39 + 5, or
4y = 112.
Therefore, y must be 112/4, or 28.
Answer:
Some details are missing in the question, here are the details ; A proton initially has v = -6.5i + 17j + 13k and then 8.00s later has v = -2.8i + 17j - 9.3k (in meters per seconds).
a) proton's average acceleration in unit vector notation = 0.46i - 2.78k
b) Magnitude = 2.85m/s2
c) angle between and the positive direction of the x axis = 279.39 degree (counter clockwise)
Step-by-step explanation:
The detailed and step by step explanation is as shown in the attachment
Answer: ( 0, 2 )
Step-by-step explanation:
You have to put coordinates of each graph on these equations y = -x + 2 and y = (1/2)x + 2. If putting coordinates satisfies both equations, then that coordinate will be the solution.
For example, let's put (0, 2) to equations.
y = -x + 2
2 = -0 + 2
2 = 2, true
y = (1/2)x + 2
2 = (1/2) × 0 + 2
2 = 2, true
So, ( 0, 2 ) is the solution.
6,272,640 square inches = 1 acre
10^6 square inches = 10^6/6,272,640 = 0.16 acre
0.16 acre = $12.50
2 acre = (2 x 12.50)/0.16 = $156.25
The cost coverifng 2 acres of land is $156.75