At soccer training the team ran for 30 minutes at 6 mph your friend incorrectly says that the team render distance of 180 miles what is the correct distance

3 miles.

Step-by-step explanation:

We have been at soccer training the team ran for 30 minutes at 6 mph. Your friend incorrectly says that the team render distance of 180 miles. We are asked to find the correct distance covered by the team.

Since speed of team is given in miles per hour, so we need to convert our given time into hours.

Therefore, the team covered a distance of 3 miles.

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

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