Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
Answer: https://api-project-1022638073839.appspot.com/questions/how-do-you-use-the-sum-or-difference-identity-to-find-the-exact-value-of-sin-255#582997
Step-by-step explanation:
this will help you.
Let, number of small, medium and large popcorn sold are s, m and l respectively.
So, s + m + l = 250 ....1)
Also, l = 2s ....2)
Total sum = $1726 = 2s + 5m + 10l .....3)
Putting value of l from 2) to 1) is :
s + m + 2s = 250
m + 3s = 250
m = 250 - 3s ....4)
Putting value of m and l in terms of s in equation 3)
We get :
2s + 5( 250 - 3s ) + 20s = 1726
7s = 1726 - 1250
s = 68
l = 136
m = 250 -3(68) = 46
Now,

Hence, this is the required solution.
For full circle area is π * R² [here R = radius],
for a sector of circle with angle β, area will be = (β/2) * R², β is in radian,
here let β = 22.5° = (π * 22.5/180) = π/8 radian,
now [(π/8)/2] * R² = 9π, [π/16] * R² = 9π
R² = 9 * 16 = 144,
R = √144 = 12 m
-n/3=4
-n/3 x 3=4 x 3
-n=12
-n/-1=12/-1
n=-12