Hannah and Jenna are travelling to a volleyball tournament in Grande Prairie, and leave at the same time. Hannah's parents drive her from Edmonton to grande Prairie, a distance of 460 km. Jenna's team takes a bus from Dawson Creek, BC to Grande Prairie, a distance of 130 km. Hannah's parents vehicle travels 10km/h faster than Jenna's, and Jenna arrives at the tournament 3 hours eairlier than Hannah. Determine how fast Hannah's parents are driving? 

Larry likes skeet shooting, where a clay disc is shot into the air and the participant tries to shoot it as it flies through the air. The discs are released from a firing mechanism that sits at ground level and shoots the disc on average a horizontal distance of 120m on a parabolic path. The average maximum height a disc reaches is 40m.

sketch a diagram that represents it with a equation that represents the flight of the clay disc. 

Determine the domain and range of the quadratic equation.

An angle is in standard postion, such that sin  $\theta$θ = $\frac{-5}{7}$−57  . What are the possible values of  $\theta$θ , to the nearest degree, if 0 degrees $\le\theta<360$≤θ<360 degrees?

An angle is in standard postion, such that sin  $\theta$θ = $\frac{-5}{7}$−57  . What are the possible values of  $\theta$θ , to the nearest degree, if 0 $^{\circ}\le\theta<360^{\circ}$^?≤θ<360^? ?

Raphael tours the leaning tower of Pisa. From the base of the short side of the tower, Raphael walks 137m and measures the distance to the top of the short side of the tower to be 142 m, with angle of elevation of 23 degrees. Determine the height of the short side of the leaning tower of pisa.

The point (-9, 40) is on the terminal arm of an angle,  $\theta$θ in standard position. 

a. what is the length of the line segment connecting the orgin to the point (-9,40)

b. Determine the measure of  $\theta$θ , to the nearest tenth of a degree. 

Raphael tours the leaning tower of Pisa. From the base of the short side of the tower, Raphael walks 137m and measures the distance to the top of the short side of the tower to be 142 m, with angle of elevation of 23 degrees. Determine the height of the short side of the leaning tower of pisa. 

The point (-9, 40) is on the terminal arm of an angle,  $\theta$θ in standard position. 

a. what is the length of the line segment connecting the orgin to the point (-9,40)

b. Determine the measure of  $\theta$θ , to the nearest tenth of a degree. 

Determine the value of  $\theta$θ, an angle in standard postion, where  $\sin\theta=-\frac{1}{2}$sinθ=−12  and tan $\theta=\frac{\sqrt{3}}{3}$θ=√33  ,  $0degrees\le\theta<360degrees$0degrees≤θ<360degrees.   

Troy has written a proof showing that the diagonals of a parallelogram are equal in length. The diagonals of a parallelogram are not necessarily equal so Troy must have made an error. Identify and explain his error.

Statement   |  Justification

AB = ED       |     Opposite sides of parallelogram

BAE = AED   |      Alternate interior angles

ABD = BDE   |     Alternate interoir angles

ABC = EDC   |   ASA

BC = EC      |   Corresponding sides of congruent angles

AC = DC      |   Corresponding sides of congruent angles

AE = BD      |   AC + CE = DC + CB