What is the exact value of the sin r?

45/53

Step-by-step explanation:

tan(U) = WV/UV = 28/45

We can consider WV = 28 and UV = 45 and compute UW using the Pythagorean theorem:

UW = √(UV² +WV²) = √(45² +28²) = 53

From the definition of the sine of an angle, we know ...

sin(W) = UV/UW = 45/53

Because the triangles are similar, ...

... sin(R) = sin(W) = 45/53

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2