You are measuring temperature using a thermometer that gives degrees in Fahrenheit. You want to know what the temperature is in degrees Celsius. This formula converts temperatures from degrees Celsius to degrees Fahrenheit: F = 9/5 C + 32. Rewrite this formula to convert Fahrenheit to Celsius. In your answer, use fractions instead of decimal numbers.

C = 5/9(F - 32)

Step-by-step explanation:

Given:

F = 9/5 C + 32

Convert Fahrenheit to Celsius:

Computation:

F = 9/5 C + 32

F - 32 = 9/5 C

5[F - 32] = 9C

C = 5/9(F - 32)

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

after simplifying it i got: -36.25 as my answer. hope that !