Answer: Volume = 3818.2 cubic feet
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Diameter = 16 feet
Radius = diameter/2 = 16/2
Radius = 8 feet
Height = 19 feet
Therefore,
Volume = 3.14 × 8² × 19
Volume = 3.14 × 64 × 19
Volume = 3818.2 cubic feet rounded to the nearest tenth
9.8 * 1.53 = 14.994 (speed/velocity)
1/2 * 9.8 * 1.53^2 = 1/2 * 9.8 * 2.3409 = 11.47041 (distance)
First find the slope of the reference line:
2x+4y=-6 subtract 2x from both sides
4y=-2x-6 divide both sides by 4
y=-2x/4-6/4
So the slope of the reference line is -2/4=-1/2
For two lines to be perpendicular, the product of their slopes is negative one. Or you could say that the slopes are negative reciprocals of one another, mathematically perpendicular lines slopes will satisfy:
m1*m2=-1, in this case we have:
-1m/2=-1
-1m=-2
m=2
So the perpendicular line in this case has a slope of 2. The slope intercept form of a line is:
y=mx+b and we found than m=2 so:
y=2x+b, and using the point (2,5) we can solve for b
5=2(2)+b
5=4+b
1=b so the perpendicular line passing through the point (2,5) is:
y=2x+1
Answer:
.1 (or 1/10)
Step-by-step explanation:
3 * 10^9 = 3 * 10^8/x
<em>Use PEMDAS to interpret</em>
3* 10^9 = 3 * (10^8)/x
<em>Divide both sides by 3</em>
10^9 = (10^8)/x
<em>Divide both sides by 10^8</em>
10 = 1/x
<em>Find the reciprocal of both sides</em>
1/10 = x
