R = 2 / (1 + sin <span>θ)
Using the following relations:
R = sqrt (x^2 + y^2)
sin </span>θ = y/R
<span>
R = 2 / (1 + y/R)
R</span>(1 + y/R<span>) = 2
</span><span>R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y
Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2
x^2 + 4y - 4
</span>
Credit. That's why the stock market crash was so terrible in 1929.
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.
What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?
Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L
Now, add both synthetic oil and natural oil to find amount of petrolyn oil.
355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
1) 19.25
2) 12.92
3) 25.20
4) 19.68
5) 77.05
6)81.67
The area of the shaded region = 330 sq cm
Step-by-step explanation:
Given,
The radius of small circle (r) = 4 cm
The radius of large circle (R) = 11 cm
To find the shaded region
Formula
The area of circle of radius r = π
sq cm
So, The radius of the small circle = π×
sq cm = 16π sq cm
The radius of the large circle = π×
sq cm = 121π sq cm
Hence the area of the shaded region = 121π-16π sq cm
= 105π sq cm
= 105 × 
sq cm = 330 sq cm
