The complete question in the attached figure
we know that
sin40° = opposite side / hypotenuse
opposite side =AC
hypotenuse = AB-------> 10 in
so
sin 40=AC/AB---------> AC=AB*sin 40-------> AC=10*sin 40
the answer is
AC=10*sin 40
If x equals 2 and y equals 1/4 , the equation is 2 • 2 + 1/4 • 3
and that equals 4.75
Answer:
A)
gallons
B) Distance between Town A and Town B is
miles
Step-by-step explanation:
A)
We know, number of gallons = 
if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:
Number of Gallons = 
B)
Now, given is number of gallons = 2y & we know mpg is 24; <em>so what is the distance?</em>
We use the same formula and solve for distance (let distance between A and B be "D"):

Answer:
y = -1x + 6 or y = -x + 6
Step-by-step explanation:
First, let's identify what slope-intercept form is.
y = mx + b
m is the slope. b is the y-intercept.
We know the slope is -1, so m = -1. Plug this into our standard equation.
y = -1x + b
To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.
4 = -1(2) + b
To find b, multiply the slope and the input of x(2)
4 = -2 + b
Now, add 2 from both sides to isolate b.
6 = b
Plug this into your standard equation.
y = -1x + 6
This is your equation.
Check this by plugging in the point again.
y = -1x + 6
4 = -1(2) + 6
4 = -2 + 6
4 = 4
Your equation is correct.
Hope this helps!