The range of the sprinkler will be the area of a circle with a radius of 40 feet.
area of circle = 
area of circle = 
area of circle = 
= 
answer:
Answer:
The answer is 17.
Step-by-step explanation:
OM and OP will coincide a second time after 120 seconds. You could visualize it as ray OP moving at 3 degrees/second relative to OM.
Using this visualization, we find that OM makes 30*60*3/360 rotations (minutes * 60 * rotational speed/360 degrees in a rotation), which is 15, and that OP makes 30*60*6/360 or 30 rotations, which is 15 more than OM.
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828... (the decimal 28 part repeats)
100x = 128.28...
next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
Answer:
x=9
Step-by-step explanation:
−4(4−x)=4/5(x+16)
(−4)(4)+(−4)(−x)=(4/5)(x)+(4/5)(16)(Distribute)
−16+4x=4/5x+64/5
4x−16=4/5x+64/5
4x−16−4/5x=4/5x+64/5−4/5x
16/5x−16=64/5
16/5x−16+16=64/5+16
16/5x=144/5
(5/16)*(16/5x)=(5/16)*(144/5)
x=9
hopfully this helps answer: x=9
