Karen is mrs. thomas plan for a spring garden that includes various shapes and needs some inspiration.
part i: layout
use the grid below to lay out a garden plot using rectangles, squares, parallelograms, trapezoids, triangles, semicircles and quarter circles. include at least one of each of the following:
• a part of a circle, or parts of both circles and polygons
• two figures involving circles inside of each other, a polygon inside a circle, or a circle inside a polygon.
• a composite figure containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, and parts of circles.
(scale: 1 square = 1 foot)

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

the answer is b.)

< 1=< 2