Answer:

Step-by-step explanation:
Given - The circumference of the ellipse approximated by
where 2a and 2b are the lengths of 2 the axes of the ellipse.
To find - Which equation is the result of solving the formula of the circumference for b ?
Solution -

Squaring Both sides, we get
![[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }](https://tex.z-dn.net/?f=%5B%5Cfrac%7BC%7D%7B2%5Cpi%20%7D%5D%5E%7B2%7D%20%20%20%3D%20%20%5B%5Csqrt%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5D%5E%7B2%7D%20%5C%5C%5Cfrac%7BC%5E%7B2%7D%20%7D%7B%282%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5C%5C2%5Cfrac%7BC%5E%7B2%7D%20%7D%7B4%28%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D)

∴ we get

Answer:
He can buy 4 model cars
Step-by-step explanation:
∵ His total money = the cost of books + the cost of model cars
∵ He buys 6 books and the price of each book is $2
∵ The cost of each model car is $7 , let the number of model cars is c
∵ He has $40
∴ 6 × 2 + 7 × c = 40
∴12 + 7c = 40
∴ 7c = 40 - 12 = 28
∴ c = 28/7 = 4
∴ He can buy 4 model cars
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
Answer:
around 13,000
Step-by-step explanation:
it goes up 1,000 a year normally so the estimated amount for next year is 13,000
hope this helps:) sorry if I'm wrong
21. the values of x such f(x) < g(x):

22. The values of x such g(x) < 0: