Answer:
Step-by-step explanation:
So add the numbers on each side together
X+y=10, x=10-y
4(10-y)+6y=332
solve the next parts yourself
Substitution is to use one variable to express another variable in order to eliminate one variable in the original equation
Answer:
d=8.0 meters
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
We are given the volume and the height
117.23 and the height 7
117.23 = 1/3 *3.14 *r^2 * 7
117.23 = 7.3266666666 *r^2
Divide each side by 7.3266666666
117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666
16.00045496 = r^2
Take the square root of each side
sqrt(16.00045496) =sqrt( r^2)
4.000 = r
We found the radius but it wants the diameter
d = 2*r
d =2*4.0
d=8.0 meters
Answer: option d. C (0,3), D (0,5).
Justification:
1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.
2) The y-coordinates of the vertices A and B are also shown in the diagrama. They are equal to 3 and 5 respectively.
3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.
That distance is 4, so the line may be y = - 7 or y = 0.
4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.
5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.
