The answer would be 1 3/14
(3,51)(5,59)
slope = (59 - 51) / (5 - 3) = 8/2 = 4
y = mx + b
slope(m) = 4
(3,51)...x = 3 and y = 51
sub and find b, the y int
51 = 4(3) + b
51 = 12 + b
51 - 12 = b
39 = b
so ur equation is : y = 4x + 39...but u need it in standard form
y = 4x + 39
-4x + y = 39
4x - y = -39 <==== this is ur equation...x = number of hrs and y = total velocity
====================
ur x axis is the number of hrs
ur y axis is total velocity in km
y = 4x + 39......slope = 4.....y int = (0,39)....x int is (- 9.75,0) or -9 3/4 for graphing purposes)....so start at (-9.75,0)...and since the slope is 4, go up 4 and to the right 1....plot that...then up 4 and to the right 1...plot that...u will cross the y axis at (0,39)....and just connect ur plotted points and u have ur line......or what u can do since it is asking for the first 6 hrs....sub in 1 for x and solve for y....then sub in 2 for x and solve for y...keep doing this up till 6 and u will have ur line up till 6 hrs
Answer:
236.22 cubic centimeters
Step-by-step explanation:
We need to find volume of 3 tennis balls and subtract it from volume of the cylinder to get our answer.
Volume of sphere (tennis ball) = 
<u>Note:</u> Radius is half of diameter, which is r = 6.7/2 = 3.35
Volume of 3 tennis balls = 
Volume of Cylinder = 
<u>Note:</u> radius is 3.35 and height is diameter of 3 tennis balls stacked on top of each other, so height is 6.7 * 3 = 20.1
Hence,
Volume of Cylinder = 
amount of space not taken up = 708.66 - 472.44 = 236.22 cubic centimeters
Answer:
700.4 cm
Step-by-step explanation:
Use a proportion.
Let x be the vertical distance for the 700 cm pipe.
1 cm is to 30 cm as x cm is to 700 cm
1/30 = x/700
30x = 1 * 700
30x = 700
3x = 70
x = 70/3
Now we need l. We have a right triangle with legs measuring 70/3 cm and 700 cm, and we are looking for the hypotenuse l.
a^2 + b^2 = c^2
(70/3)^2 + 700^2 = c^2
c^2 = 4900/9 + 490000
c = 700.4
l = 700.4 cm