Grade Twelve Hints

Hints:

1) Use the knowledge that in a regular sine curve the maxima and minima occur at T/4 and (3T)/4 respectively, T being the period.

Hints:

Find the value of y when y=x intercepts y=-x+5

Hints:

(theta/360)*pi*d=arclength

No hint.

Hints:

Perimeter of field will not be 160m

Hints:

1) Vertex (-b/(2a), f(-b/(2a)))

Hints:

1) Draw triangle, and include altitude line

Hints:

1) Use similar triangles

Hints:

1) Volume of a triangular prism

Hints:

(100-88)/3=4 km/hr/person

Hints:

1) All triangles are inscribed in semicircles are right angle triangles

Hints:

Find the drainage rate for each type of pipe

Hints:

1)

     Let  x = rate of car 1 (m/s)
     Let y = rate of car 2  (m/s)

     1800m = 30x+30y
     1800-30x = 30y
     
2) Use method of substitution or elimination

Hints:

As C is the center of circle B it is equidistant from pts P and Q. By Thales, triangle PCQ will be a right triangle as PQ=diameter of circle A.

Hints:

solve for c first

Hints:

1) use discriminant

Hints:

evaluate coefficients first

Hints:

Evaluate the coefficients first

Hints:

1) assume all number’s have millions as units.

Hints:

1) OP is perpendicular to PR.

OQ is perpendicular to QR.

Hints:

Set up three equations

Hints:

r=xtan(30)

Hints:

Find the points of intersection

Hints:

Let y1=y2

Hints:

NONE!!!!

Hints:

1)

Hints:

let y=y

Hints:

use test values

Hints:

angle F=90, radius is always perpendicular to the tangent

Hints:

NONE!!!!

Hints:

Remainder=0

Hints:

Evaluate y for x=1 for both equations

Hints:

The initial velocity of the police car is zero

Hints:

Velocity is the derivative of postion

Hints:

NONE!!!!

Hints:

R=R(0)*(.5)^(20/n)

Hints:

p(t)=A*sin(((g/l)^1/2)*t)

Hints:

NONE!!!!

Hints:

Find the points of intersection

Hints:

Hints:

NONE!!!!

Hints:

Find the coordinates of E