MCR 3U Grade 11 University Preparation
MAX-MIN PROBLEMS
1. Find two numbers between 0 and 68, whose sum is 68 and whose
product is a maximum.
2. The sum od a nimber and three times another number is 18. Find the
numbers if their product is a minimum.
3. A
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Practieee Applying Trigonometry
The angle between the herizental and a straight line
from the view
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Find each measurement indieated. Round your answers to the nearest tenth.
12) In AHPK, m4H= 88, #1413 = 30, k: 30 in 5 _r f Iff |
Find each measurement indicated. Round your answers to the nearest tenth.
13) In AEFD, mAE = 133, mAD = 25, d =
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5. At a birthday party. one large bundle of balloons was set up in the middle
Tunis
A triagular plot of land has sides that measure 27 m,
21 m, and 13 m.The longest aide lies against the straight
edge of a river. What is the maximum width of the land?
A. Show where the 27 m, 21 m, and 18 m go on the
diagram.
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5 _r f: f |
Solve eaeh triangle. Round your answers to the nearest tenth. 5 _r f Iff |
Find each measurement indicated. Round your answers to the nearest tenth.
2) Find BC
ID A
t.
10 km . 20 km ; _r f Iff |
Find the measure of each angle indicat
5 _r f Iff |
Find each measurement indieated. Round your answers to the nearest tenth.
24) Find mAP
P 5 _r f Iff |
Find each measurement indieated. Round your answers to the nearest tenth.
25) Find mAR
R . 5 _r f Iff |
Find each measurement indieated. Rou
Mathematics 1 1 C
1.2 Solving Problems using Trig Ratios
Mr. D. Hagen Bill was climbing a 6.0 m ladder, which was placed against a wall
at a 76 angle. He dropped ene of his tmls (:lirectlr belew the ladder.
The tool landed 0.8 m from the base 0f the ladde
_r | fl f g V
Find each measurement indieated. Round your answers to the nearest tenth.
V1 07 20
6) Find AC
0| 5 5" L):- g? 517]
9 GHQ lv 03 6
a a) mam 5 _r f Iff |
Find each measurement indicated. Round your answers to the nearest tenth.
7) Find AC
5 _r f Iff |
Find each measurement indieated. Round your answers to the nearest tenth.
D
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0 .
9) FindBC gm): 5?) L < ,6: a. t: _ )3 C
a JD 5 _r WI |
Find each measurement indieated. Round your answers to the nearest tenth.
10) Find mAC
5 _r f Iff |
Find each measurement indicated. Round your answers to the nearest tenth.
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5) Find A'C
6%
C I?! 5 _r f Iff |
Find each measurement indicated. Round your answers to the nearest tenth.
6) FindBC a :
m Pr 6m C
Hal/1 ' W
_r | fl f g V
Solve eaeh triangle. Round your answers to the nearest tenth. 5 _r f Iff |
Solve eaeh triangle. Round your answers to the nearest tenth.
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A
17)a=16km, m43=911c=211qn m *
Find mzC 11W 5 _r f Iff |
Solve eaeh triangle. Round your answers to t
1. For the graph and equation, nd (in no particular order), zeros, y-intercept, equation of axis of
symmetry and vertex (indicating whether it is a maximum or minimum). Clearly label everything.
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a) Zen-:5 : a dam) of
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= J
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Mathematics 10
3.3 Factored Form of a
Quadratic Relation
Mr. D. Hagen A bus company usually transports 12 000 people
per day at a ticket price of $1. The company L lug.
el X l? 1L
wants to raise the ticket price. For every $0.10
increase in the ticket pri
Mathematics 10D
7.6 Solving Right Triangle Problems
Mrs. C. Watt
Mr. D. Hagen 30H C RH TOR
Lb lecujlile a
3th A
Tools you have: Similar triangles, SOH CAH TOA, Equation of a
line and knowledge of perpendicular slope. Angle of elevation and depression. Fi