Fine the area of this figure round your answer to the nearest hundredth use 3.14 to approximate

This value is approximate because we used the approximation pi = 3.14

Explanation:

For problems like this, a common approach is to break the figure into smaller pieces. Find the area of each small piece, then add up those individual areas to get the full area we're after.

A = area of triangle

A = 0.5*base*height

A = 0.5*6*8

A = 24 square feet

B = area of the semicircle with radius r

B = 0.5*(area of full circle with radius r)

B = 0.5*(pi*r^2)

B = 0.5*pi*r^2

B = 0.5*3.14*4^2 the diameter is 8, radius is half that

B = 25.12  square feet

C = area of the full figure

C = A+B

C = 24+25.12

C = 49.12 square feet

look at photo

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81