Determine the angles made by the vector v = (42) i + (10) j with the positive x - and y-axes. write the unit vector n in the direction of v.

Find the volume of the shipping box using the two methods and show your work:

A scale model of a train engine is 1 inches long. An engine on a real train is 28 feet long. If a freight car on the model train is 2 inch long, what is the actual size of the freight car on the real train?

What is the fraction 0/-2 as a whole number?

Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.

Nora is a college student. She needs to make an essential textbook purchase for one of her classes. She researches the cost of the book at her college bookstore, some local booksellers, and some online merchants.

The Air conditioner unit in the classroom uses 120 volts. it requires 2000 watts of usage on the average, and it stays on for 8 hours every day.

3y+6y=9 how solve this

Sean spent $38 for shorts. This was $4 less than twice what he spent for a shirt. The equation 2x - 4 = 38 can be used to find the cost of the shirt (x). How much did Sean spend on the shirt?

Find the perimeter of the rectangle What is the area

Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)