On monday greg walks the entire length of a trail that is 3 1/2 miles long on tuesday he walks the entire length of a trail that is 4.6 miles long. on wednesday he starts out on a trail that is 2 1/5 miles long but he does not walk the final 1.8 miles. how much miles does greg walk in all on monday tuesday and wednesday

Step-by-step explanation:

3.5+4.6+2.5 = 10.6

10 1/6 miles

Step-by-step explanation:

3 1/2 + 4 3/5 + 2 1/15

(convert into fractions that have the same denominator)

1/2 x 15/1 = 15/30

3/5 x 6/1 = 18/30

1/15 x 2/1 = 2/30

3 15/30 + 4 18/30 + 2 2/30 = 9 35/30 = 10 5/30 = 10 1/6

Convert each length into the same unit (either all fractions or all decimals)

Remember to reduce the fraction at the end!

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