Cherie is jogging around a circular track. She

started at point J and has jogged 200 yards to

point G. If the radius of the track is 120 yards,

what is the measure to the nearest tenth of a

degree of minor angle JOG?

Measure of minor angle JOG is

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle .

To calculate the central angle, use the arc length formula as follows.  

Where is measured in radian.

Substituting the value,

Dividing both side by 120,

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

Therefore value of central angle is , since angle is in radian

Now convert radian into degree by using following formula,

So multiplying with to convert it into degree.

Simplifying,

So to nearest tenth,

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

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: