Search & Filtering
Two ships A and B sail simultaneously from the same place. vessel A on course 300at 15 knots and B on course N 45°E at 10 knots. After 1 hour and 30 min, how far is vessel A to vessel B?
The graph of a sinusoidal function has a minimum point at (0,2)
(0,2)
left parenthesis, 0, comma, 2, right parenthesis
and then has a maximum point at (3\pi,6)
(3π,6)
left parenthesis, 3, pi, comma, 6, right parenthesis
.
Two islands A and B are 2.0km apart. How far is a third island C from A and from B is angle ACB=90 degrees
Evaluate
a) sin (alpha), given that sec (alpha)= -3, and that alpha is an obtuse angle.
b) cot(beta), given that tan(beta)=1/(√2) and that beta is an acute angle.
Two ships A and B sail simultaneously from the same place. vessel A on course 300at 15 knots and B on course N 45°E at 10 knots. After 1 hour and 30 min, How far is vessel B from the starting point?
. Water is flowing downhill at 15.0m/s through a pipe that is at an angle of 75o with the horizontal. What are the components of its velocity?
Which of the following is an equivalent expression to sin θ − (sin θ)(cos2θ)?
A ship captain is plotting a course to an island 80 km SW of his current position.
The wind is blowing from the East at 15 km/h. What must the velocity vector of
the ship be in order for it to arrive at the island in 2 hours (hint: think about what
the resultant velocity must be).
The mayflower is the Massachusetts State flower and Nova Scotia's provincial flower. It has five petals. Imagine that the petals are numbered 1, 2, 3, 4 and 5 in a clockwise order. A ladybug has landed on petal number 1. She begins to jump in a counterclockwise direction from one petal to another, around the flower. When she jumps from an odd-numbered petal, she skips a petal. When she jumps from an even-numbered petal, she jumps to the next petal. Since it is the year 2018, she has decided to make 2018 jumps. What number petal will she be when she stops jumping?
Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.
10. You take a sheet of paper and tear it in half, then place the two2 pieces of paper on top of one another and tear them in half. This process yields four pieces of , paper. You place them on top of one another and tear them i half again. Imagine continuing this process through 22 such tears. How many layers are now in the pile of paper?
11. Pilar has six daughters and no son. Some of her daughters have six daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, but she has no great-granddaughters. How many of Pilar's daughters and granddaughters. have no daughters?
12. On a balance scale, two spools and one thimble balance eight buttons.Also, one spool balances one button. How many buttons will balance one spool?
