Answer:
200.96 units
Step-by-step explanation:
Use the formula for the volume of a cone 
Plug in the values (
=3.14) and multiply them all out
16x8.5x10.5=1428in
so then u multiply by 3 and that would equal 4,284
so yes therefore u would triple the demsions
Answer: Children tickets cost 7.50
Adult tickets cost 12.50
Step-by-step explanation:
Let a represent adult tickets
Let c represent child tickets
On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:
6a + 5c = 112.50 ...... equation i
On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:
8a + 4c = 130 ....... equation ii
6a + 5c = 112.50 ...... equation i
8a + 4c = 130 ....... equation ii
Multiply equation i by 4
Multiply equation ii by 5
24a + 20c = 450 ........ equation iii
40a + 20c = 650 ......... equation iv
Subtract iii from iv
16a = 200
a = 200/16
a = 12.50
Adult tickets cost 12.50
From equation ii,
8a + 4c = 130
8(12.50) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 30/4
c = 7.50
Children tickets cost 7.50
Answer:
Step-by-step explanation:
Statement Reason:
1) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
2) Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula
3) Segment DE is half the length of segment AC By substitution
4) Slope of segment DE is -2 and slope of segment AC is -2 by the slope formula
5) Segment DE is parallel to segment AC Slopes of parallel lines are equal...
Answer: The midpoint M is located at (6,4)
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Explanation:
First focus on just the x coordinates of points S and T, which are 5 and 7 respectively. Add them up to get 5+7 = 12. Then divide that in half to get 12/2 = 6. This is the x coordinate of the midpoint.
Repeat for the y coordinates of S and T. First add up the values: 7+1 = 8. Then divide by 2 to get 8/2 = 4. This is the y coordinate of the midpoint.
The two results we get are then written as an ordered pair getting us the answer (6,4)
