This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m
5(2x+8)-5x=5(5x+6)
Distribute
10x+40-5x=25x+30
combine like terms
5x+40=25x+30
-5x -5x
subtract 5x from both sides
40=20x+30
-30 -30
subtract 30 from both sides
10=20x
÷20 ÷20
divide both sides by 20
1/2=x is your final answer
Answer:
C) As the amount of snow increases, the number of accidents increases.
Step-by-step explanation:
An image showing the scatter plot is attached.
From the attached imaged, the scatter plot is a straight line which goes up along the X - Y axis.
X = snowfall
Y = accident
Since the scatter plot is going up increasingly for any value plotted; it means as the amount of snow increases, the number of accidents increases. That is, as X (snowfall) increases Y (accident) increases also.
Answer:
the diagram represents the process of enlarging a rectangle using a scale factor of 3. the width of the original rectangle must be:
Step-by-step explanation:
Answer:
The vertex of the parabola is at equal distance between focus and the directrix. If F is the focus of the parabola, V is the vertex and D is the intersection point of the directrix and the axis of symmetry, then V is the midpoint of the line segment ¯FD
Step-by-step explanation:
answer 3rd