10 - Word Problems putting it all together Apr 15.notebook

Transcription

10 - Word Problems putting it all together Apr 15.notebook
10 ­ Word Problems putting it all together Apr 15.notebook
Word Problem
Josh is throwing a basketball for the free­
throw competition. The path of a basketball can be modelled by the equation h = ­0.25d2 + 2d + 1.5, where d is the horizontal distance from Josh and h is the height of the ball above the ground, both in metres.
April 15, 2015
b) Find the horizontal distance when the basketball is at a height of 4.5 m above the ground.
a) Josh missed the basket and the ball landed on the ground without hitting the net. How far has the ball travelled horizontally to the nearest tenth of a metre.
OR
OR
Inadmissable
the ball travelled 8.69m.
One leg of a right triangle is 1 cm longer than the other leg. The length of the hypotenuse is 9 cm greater than that of the shorter leg. Find the lengths of the 3 sides.
Homework
Pg. 311 #2, 6,13,14,18,19
Pg. 300 #6,7
Quiz Next Class
­ Solve by factoring
­ Solve by Quadratic formula
­ Solving word problem questions
the ball is above 4.5 metres between 2 and 6 metres away.
A rectangular park measures 100 m by 60 m. A path of a constant width is to be paved around the park on top of the existing grass. The mayor wants to be sure that the path does not reduce the grass area drastically. The area of the new grass park area is 5400 m.
What is the width of the path, rounded to the nearest tenth of a metre?