The top piece from a model of city hall is shown below.

if serena painted all the faces of the piece of the model, what area did she paint?

The area that she painted = 896 mm^2

Step-by-step explanation:

Given:

The given figure is a pyramid with square base.

Here we need to find the surface area of the figure that need to be painted.

Surface area of a square pyramid = (S×S) + 2×S×L square.units

Where, S = side of the base L = slant height of the pyramid.

Now we have to plug in the given values.

Here S = 14, L =25

Plug in these values into the formula

= (14*14) + 2*14*25

= 196 + 700

= 896 mm^2

The area that she painted = 896 mm^2

Hope this will helpful.

Thank you.

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

none cuz there are no "following statements" regarding the question

step-by-step explanation: