Out of 180 music lovers, it was founded that 95 liked folk songs, 80 liked modern songs and 35 did not like the both types of songs. Find how many people liked both songs?

Fractions can be added and subtracted only if they're fractions. a. like b. proper c. improper d. unlike

When a valve is open 281 gallons of water go through it in one hour the number of gallons that would go through in 94 hours is

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?