In right ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of its acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of ΔABC if AB = 20 in.

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?

Which of the following functions corresponds to the above sinusoid? a. 10 cos πx - 5 b. -5 sin x - 5 c. -10 cos πx/2 - 0.5 d. 10 sin πx - 5

The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?