A 3cm x 10cm rectangle sits inside a circle with a radius of 12cm. What is the area of the shaded region?

Find the area of the rectangle and the area of the circle:

Formula for the area of a rectangle:

A = l x w          [A = area       l = length     w = width]

You know:

l = 10cm

w = 3 cm       Substitute/plug this into the equation

A = l x w

A = 10 x 3

A = 30cm²

Formula for the area of a circle:

A = πr²        [A = area       r = radius]

You know:

r = 12 cm         Substitute/plug this into the equation

A = πr²

A = π(12)²

A = 144π

A = 452.39 cm²  

To find the area of the shaded region, subtract the area of the circle (shaded region) by the area of the rectangle (unshaded region)

452.39cm² - 30cm² = 422.39cm²  

Area of the shaded region=

Step-by-step explanation:

Area of the shaded region is :

Area of the circle - Area of the rectangle inside it

Area of the rectangle=

Area is:

Area of the circle=

As ,

Area of the Circle =  

Area of the shaded region is:

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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