The relationship between the number of cups of flour, f , and the number of cups of milk, m , used in a cake recipe can be modeled by the equation f = 1 2 m . How many cups of flour should be used for 1 cup of milk?

The ratio of two numbers is 5 to 4. the sum of the numbers is 99. what number is the greater of the two numbers?

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.