Geometry Questions

e parabolic arch shown in the ligure is 30 feet above the water at the center and 200 feet wide at the base Will a boat that is 30 feet Il clear the arch 68 feet from the center hoose the correct answer below O Yes 100 ft 100 ft 50 ft

For the figure determine what the missing number must be in order for the figure to have an area of t 51 6 The missing number is Simplify your answer Type an integer or a decimal QUD E

a Convert the Cartesian coordinates 2 5 to polar coordinates with r 0 0 0 27 Remember to consider the quadrant in which the given point is located b In the graph below find the polar coordinates of the point in Quadrant 3 two ways one with r 0 and one with r 0 and both satisfying 0 0 2 Please show all steps on paper G KIN 0 5 1 5 2 5 3 5 0

res of the following angles in the isosceles trapezoid 74 2 3 37

If the point 20 23 is on the graph of y g x which one of the following points must be on the graph of y g x 7 27 23 O 20 30 13 23 O 20 16 O 16 19

Jai spots an airplane on radar that is currently approaching in a straight line and that will fly directly overhead The plane maintains a constant altitude of 5375 feet Jai initially measures an angle of elevation of 15 to the plane at point A At some later time he measures an angle of elevation of 30 to the plane at point B Find the distance the plane traveled from point A to point B Round your answer to the nearest foot if necessary

A boat is heading towards a lighthouse where Dalvin is watching from a vertical distance of 138 feet above the water Dalvin measures an angle of depression to the boat at point A to be 13 At some later time Dalvin takes another measurement and finds the angle of depression to the boat now at point B to be 45 Find the distance from point A to point B Round your answer to the nearest tenth of a foot if necessary

2 For each day in the month of March the number of cars given speeding tickets was as follows 56 57 43 56 87 37 76 55 29 65 84 74 46 58 61 40 43 60 51 77 53 47 50 81 61 44 55 54 76 39 and 77 a What was the median number of tickets given out on any particular day in the month of March 2 marks b If your friend was caught speeding on a day when only 43 tickets were awarded does the day rank below the lower quartile 3 marks

Find mZEOF for Oo mZEOF Simplify your answer COLL G To 0

X Simplify your answer x 60 R 4x 60 A P 3x 8

The length of the arc is m Simplify your answer Type an exact answer in terms of x CIT 9m

Find the length of the arc shown in red Leave your answer in terms of The length of the arc is ft CELEB 42 ft

An outlier is an extreme value that is significantly less or more than the rest of the data In the data below take out the outlier then calculate using a statistics calculator or spreadsheet the standard deviation of the heights of 15 soda cans 92 8 92 8 92 9 92 9 92 9 92 8 92 7 92 9 92 1 92 7 92 8 92 9 92 9 92 7 92 8 Round to the nearest 100th

The standard deviation of the given data 14 13 16 9 3 is

Which data set would give the smallest standard deviation Select one a 100 150 200 250 300 Ob 2 20 102 80 80 c 100 200 250 300 350 d 1 5 7 150 2

If 100 then the area under the curve to the right of ui 100 10 50

Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15 Approximately 95 of the IQ scores are between and

o represents the standard deviation area mean population

The sum of the deviation about the mean for a whole data set is

Choose the three characteristics of a Normal Distribution Select one or more a Symmetrical b The standard deviations are limited to three C Total Area under the curve is 1 d Data is grouped to the right e Bell Shaped Curve

u represents the letter Select one O a mu O b theta c beta O d sigma

Using a statistics calculator or spreadsheet calculate the standard deviation of the heights of 15 soda cans 92 8 92 8 92 9 92 9 92 9 92 8 92 7 92 9 92 1 92 7 92 8 92 9 92 9 92 7 92 8 Round to the nearest 100th

Using the rules of standard deviation if a value is with in standard deviations of the mean it might be considered a new discovery or incredibly rare standard deviation of the mean then it is 68 likely to occur If data is

Using a chart to calculate the standard deviation helps to keep the numbers organized Drag and drop the values to complete the chart x mean total the sum of x x X 14 13 16 9 3 mean 11 11 11 11 11 X mean x mean 32 5 2 9 4 4 64 total

The variance x x 17 15 23 7 9 13 is 3 of the data n l

W X 109 N Y What is the measure of angle WZY O 54 5 O 71 O 125 5 O 180

L 8 8 5 M P The measure of central angle LOP is The length of LP is The length of MP is units units 0

O E B D Use the diagram to complete the statements The measure of angle EJB is measure of angle BOE The measure of angle BDE is measure of angle BOE The measure of angle OED is measure of angle OBD the the the

A 60 C O B Which statements are true Check all that apply O MCB 120 mcB 60 OmZCOB 2 m CAB OmZCOB 120 Om COB B m CAB

If the measure of arc QP is 76 degrees and angle 3 is 92 degrees what is the measure of arc SR

7 In circle A below AC 1 and m BAD 70 What is the arc length of BC d C a b 7T 117 18 36 7 117 36 18 D B A

9 What is the measure of LACB and arc AB below if m2AOB 40 O B a mzACB 40 arc AB 40 b mzACB 80 arc AB 80 20 c mzACB 40 arc AB mACR 20 arc AB 40

11 Given the equation for circle P is x 8 y 3 64 determine the diameter and a 8 3 d 16 2015 S b 8 3 d 128 c 8 3 d 16 d 83 d 128 sib orb bas 82

O 7 A B 25 What is the perimeter of kite ACBO O 31 units 56 units O 62 units 64 units

A C O B Central angle AOB and inscribed angle ACB intercept the same arc Concave polygon AOBC is formed The sides of central angles will congruent The sides of inscribed angles will congruent be be

PRACTICE ROUN 6 Determine the coordinates of the center and the length of the diameter of a circle whose equall 4y x y 6x 12

quadrilateral and mA 8x 15 mzB y 10 5 In the circle above ABCD is a and mzD y 10 Calculate the value of x and y b D A B

The measure of arc LM is The measure of angle MBL is The measure of angle MNL is vo v B L 116 M N

3 The equation of a circle is x 9 y 18 Determine its center and radius a 9 1 r 9 b C d 9 0 r 3 2 0 9 r 9 0 9 r 36 2791093 158 to dignal ou sulat dan

2 The circumference of circle Z is 124 inches Determine the diameter of the circle to the nearest whole number a 124 b 39 c 20 d 19

1 In the diagram above AC and AD are tangent to circle B at points C and D respectively 4 and AE 8 what is the length of AC in simplest radical form If CB a 4 3 b 4 5 c 8 2 d 4 10 1 lat to 7919msib A E D B

Which statements are true regarding the relationships between central inscribed and circumscribed angles of a circle Check all that apply A circumscribed angle is created by two intersecting tangent segments O A central angle is created by two intersecting chords that are not a diameter The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc O The measure of a central angle will be half the measure of an inscribed angle that intercepts the same arc O The measures of a central angle and circumscribed angle that intercept the same arc will sum to 90 The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle

Find the area of the circle 4 1 ft A ft Simplify your answer Type an exact answer in terms of

What is the area of sector GPH The area of sector GPH is square yards Type an exact answer in terms of x P 12 yds G 20 H Q

Find the area of the circle Area cm Simplify your answer Type an exact answer in terms of 22 cm

B D 98 The measure of arc AB is The measure of angle AOB is The measure of angle BDA is

For questions 10 15 assume that segments that appear to be tangent are tangent 10 Find the value of x 11 Find the perimeter of AGHI a 11 2 b 12 4 c 13 2 6 6 a 130 b 140 c 154 d 164 7x 10 52 H M 13r 8 K 15

9 Which diagram s show XY tangent to circle Z Check all that apply Z 11 7 X 7 8 15 6 A 10 A 7 X B

Use the circle below U X Y 85 Z 108 V W r 12 YK 24 meters 7 Find the length of YU Round to the nearest hundredth a 18 05 b 15 08 c 2 48 d 4 82

Which statements are true regarding the diagram for circle P and the angles created Check all that apply OZDEC is a circumscribed angle O ZBCA is an inscribed angle O ZCBA is a central angle O ZAPB is a central angle OPB PA EC CB E D B P A