Find the area of the given figure. A)792in^2
B)464in^2
C)242in^2
D)358in^2
E)94in^2

C. 242

Step-by-step explanation:

So first you need to know the formulas for the shapes (trapezoid and rectangle) to solve it.

Trapezoid- A= 1/2(b1+b2)h

Rectangle- L x W.

So to plug in numbers for trapezoid should look like: 1/2(13+24) (4)

1/2 (37) (4)

(18.5) (4)

=74.

For rectangle: 7 x 24= 168.

So add them together and you should have your answer. 168+74=242 in.

I hope this helped!!! :)

q: 92 degrees

hope i ^-^

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