3 years ago

Find the area of the polygon. All angles in the figure are right triangles.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

7 0

Answer:

The area is 207 square feet

Step-by-step explanation:

*The area of the rectangle whose dimensions are 21 and 15 is 315 square feet

*The area of the rectangle whose dimensions are 12 and 9 is 108 square feet

*By subtracting the small area from the big area you will get the area of the polygon

*The area of the polygon = 315 - 108 = 207 square feet

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Perform the indicated operation.<br> h(n)=n-3<br> g(n)=-2n² + 2<br> Find (hºg)(n)

Anni [7]

Step-by-step explanation:

$h(n) = n - 3 \\ g(n) = - 2 {n}^{2} + 2 \\ \\ (h.g)(n) = h(n).g(n) \\ = (n - 3).( - 2 {n}^{2} + 2) \\ = n( - 2 {n}^{2} + 2) - 3( - 2 {n}^{2} + 2) \\ = - 2 {n}^{3} + 2n + 6{n}^{2} - 6 \\ \red{\boxed {\bold{\therefore \: (h.g)(n) = - 2 {n}^{3}+ 6{n}^{2} + 2n - 6}}}$