What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axi
s and numbers from 0 to 18 at increments of 2. Scatter plot shows ordered pairs 1, 4 and 2, 7 and 3, 9 and 4, 10 and 5, 10 and 6, 12 and 7, 14 and 8, 15 and 9, 16 and 10, 18 and 11, 20 and 12, 22. A line labeled A joins ordered pair 0, 2.5 and 12.5, 22. A line labeled B joins ordered pairs 0, 3.5 and 14, 16. A line labeled C joins ordered pairs 0, 3.5 and 14, 11. A line labeled D joins ordered pairs 0, 4 and 14, 5.5. Line A Line B Line C Line D
2 answers:
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a. The percentage of the circle occupied by the hexagon is 82.7%
b. The percentage of the circle not occupied by the hexagon is 17.3%
Step-by-step explanation:
a regular hexagon inscribed in a circle is approximately 0.827 times the
area of that same circle
1. Assume that area the circle is x
2. Find the ratio of area hexagon to area circle
3. Change The ratio to percentage
4. Subtract area hexagon from area circle to find the area not occupied
by the hexagon and do the same steps 2 and 3 with the area not
occupied and the circle
∵ The regular hexagon inscribed in a circle
∴ Area the circle > area of the hexagon
∵ Area the circle is x
∵ Area the hexagon is 0.827 times the area of the circle
∴ Area hexagon = 0.827(x)
∵ The ratio between area hexagon and area circle =
- Cancel x up with x down
∴ The ratio between area hexagon and area circle = 0.872
- Change the ratio to percentage by multiply it by 100%
∴ The percentage of area hexagon to area circle = 0.827 × 100%
∴ The percentage of area hexagon to area circle = 82.7%
a. The percentage of the circle occupied by the hexagon is 82.7%
∵ Area the circle is x
∵ Area the hexagon is 0.827 x
∴ The area not occupied by the hexagon = x - 0.827 x
∴ The area not occupied by the hexagon = 0.173 x
The ratio between area not occupied by the hexagon and area circle
=
- Cancel x up with x down
∴ The ratio between area not occupied by the hexagon and area
circle = 0.173
- Change the ratio to percentage by multiply it by 100%
∴ The percentage of area not occupied by the hexagon to area
circle = 0.173 × 100%
∴ The percentage of area not occupied by the hexagon to area
circle = 17.3%
b. The percentage of the circle not occupied by the hexagon is 17.3%
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Given
A frame is 9in wide and 6 in tall.
If it reduces to a width of 3 in
Find out the how tall will it be .
To proof
As given in the question
A frame is 9in wide and 6 in tall.
reduces to a width of 3 in
now as shown in the table given below
This table shows that the width of a frame is directly proportional to the height (tall) of the frame.
let us assume that the height of the frame after reduces width to 3in be = x
than the equation becomes
put the all the value
we get
solve the above
x = 2in
therefore 2in tall will be the frame .
Hence proved
