You are at a concert and the seating area is shown below. using the standard rule of thumb (1 person per 2.5 sq. estimate the attendance (to the nearest whole person).

As can be seen from the given diagram, the length, L, of the seating area is 625 ft.

Likewise, the width, W, of the seating area has been shown to be 300 ft.

This means that the total area available for seating will be the area of the seating area which is given as:

Area=Length x Width= sq. ft.

Now, using the standard rule of thumb (1 person per 2.5 sq. ft.), if we have to estimate the attendance (to the nearest whole person), all that we will have to do is to divide the Area we just found by the area taken by one person (which is 2.5 sq. ft.)

Thus, we get the attendance at the concert to be:

Attendance=

Thus, 75000 people/persons are attending the concert.

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