X = 11 x cos(22) = 10.199 = 10.2
Answer:
A) Sheri has the faster commute by 6.2 miles/hr.
Step-by-step explanation:
Given
John's commute to work
Sheri's commute to work

John's commute to work in miles per hour = 
Sheri's commute to work in miles per hour =
We can see that Sheri has a faster commute.
Difference between the rates =
∴ Sheri has the faster commute by 6.2 miles/hr.
The equation of a circle whose centre (
) and radius
is 
What is equation of a circle?
A circle is a closed curve drawn from a fixed point called centre of the circle. The distance between the centre of the circle and the arc of the circle is called the radius of the circle.
The equation of a circle with centre
radius
is

Given center =
and Radius = 
Put the Given value in the equation:
= 
= 
= 
= 
= 
= 
So, the equation of the circle whose centre is
and Radius
is

To read more about the equation of a circle. you can follow:
brainly.com/question/351704
#SPJ2
Answer:
There are 10 orange marbles
Step-by-step explanation:
There are 25 marbles in the bag
40% are orange
To determine the number of orange marbles, we multiply the total number of marbles by the percent that are orange
25 *40% = number of orange marbles
25*.40
10
There are 10 orange marbles
Direct variation: y=kx where k is some number thats not 0
that means if x is 2, y is 2k. if x is 1, y is k. if x is 0, y is 0.
notice: no matter what k is, when you put 0 in for x, y will always be 0. that means that a direct variation always goes through the origin, a.k.a. (0,0).
do all lines go through the origin? nah. a line is y=mx+b, where m and b are some numbers. a line is only a direct variation if b is 0. this makes sense because if b is 0, then the y-intercept is 0, so the line goes through the origin.
in conclusion, no, not all linear relationships are direct varations, but all direct variations are linear relationships.