Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi. A. 4 bags

B. 5 bags

C. 6 bags

D. 7 bags

C. 6 bags

Step-by-step explanation:

To solve this, you need to calculate the area of every shape in the garden and then sum them up.

Semi circle:

Area of semi-circle = (π * radius²) / 2

Radius = Diameter/ 2 = 18/2 = 9 feet

Area = (3.14 * 9²) / 2

= 127.17 ft²

Rectangle:

= Length * Width

= 18 * 8

= 144 ft²

Triangle

= 1/2 * base * height

= 1/2 * 18 * 18

= 162 ft²

Added up:

= 127.17 + 144 + 162

= 427.17 ft²

If each bag covers 75 ft² each, the number of bags needed is:

= Area to cover / Coverage per bag

= 427.17 / 75

= 5.7

= 6 bags

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12