Answer:
c = 43.96
Step-by-step explanation:
First you have to find the diameter of the trampoline which would be 14
Next plug it into the circumference formula c = dπ
c = (14)(3.14)
c = 43.96
So x+y=-14
xy=-240
x+y=-14
subtract y from both sides
x=-14-y
subsitute for x in second equation
(-14-y)y=-240
multiply
-y^2-14y=-240
add y^2+14y to both sides
0=y^2+14y-240
use quadratic equation to solve which is
if you have ax^2+bx+c so
a=1
b=14
c=-240
subsitute and get
(+/- means that there are 2 equations exg 2+/-8=2+8 and 2-8)
the numbers are 10 and -24
The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12