Geometry Questions

Problem 6 Solve for the missing sides and angles b 3m

AXYZ T 1 R axis D AABC Draw A XYZ 02 9 the graph below if it is the case that T PENCIL THIN V 12 11 10 9 4 BLACK 6 5 20 2 A 12 114 10 9 8 7 6 5 4 2 B N M p S 99

6 Check if the triangles given below are similar Specify which triangles are similar Also write which method you used to decide similarity i e SSS SAS a E D LO b PQ SR 3 cm Angle P and S are 90 degrees B

Because of prevailing winds a tree grew so that it was leaning 6 from the vertical At a point d 40 meters from the tree the angle of elevation to the top of the trees is a 28 see figure Find the height h of the tree Round your answer to one decimal place h

7 Which shows the length of the darkened arc 7 5x 1 5x 15x G3T S zoom in 60 7 FORMULA n S 3 2 r 360 F H S

6What is the degree measure of RTU F 32 HD 238 G212 D 248 zoom in 32 S 6

In circle E with m DEF 78 and DE 20 find the area of sector DEF Round to the nearest hundredth F D E

Using the digits 0 to 9 at most one time each place a digit in each box such that the central angle is greater than 120 degrees C Central angle Inscribed angle Circumscribed angle 0 O D D Check

The table below gives percent of flights that were delayed and on time during good and bad weather Good weather Bad Weather 17 5 32 5 Delayed 7 5 On Time 42 5 Given these percentages during bad weather is it more likely that your flight will be delayed or on time How much more likely It is 30 more likely to be delayed It is 15 more likely to be delayed It is 30 more likely to be on time It is 15 more likely to be on time

1 What is the m C B A 25

The table below gives the typical number of days of rainfall in Fall and Spring in Death Valley California Fall Event F Spring Event S Rain Event R 7 No Rain or Dry Event D 115 Given the fact that it rained one day in the Fall or the Spring how much more likely is it that the day it rained was in the Fall o 1 13 122 244 01 6 116 265

Team A and B love to play pickup basketball There are no fouls and no three pointers so all shots are worth 2 points The only problem is Team A always wins They typically play games to 100 and Team B loses by 10 points That is the typical final score is Team A 100 Team B 90 So they decide to increase the point value of each basket for Team B to 2 2 points Based on the typical results above what effect is this most likely to have The teams will tend to score the exact same number of points O Team A will still tend to win by 1 point instead of 10 Team B will now tend to win by a margin of 1 point Team B will now tend to win by 10 points

At certain times of the year about 70 of airline flight delays are caused by bad weather During those times about 50 of all flights experience bad weather and about 25 of all flights are delayed Given these percentages if the weather is good what is the probability that your flight will be delayed About 15 About 20 About 35 About 30

In baseball a player pitches a ball from the mound to a catcher behind the plate A pitch that passes over the plate above the batter s knees and below his chest is a strike All other pitches are balls provided the batter does not swing at them or hit them foul The table below breaks a sample number of pitches into strikes and balls over the plate and not over the plate Over plate Event C Not over plate Event D Strike Event A 10 0 Ball Event B 5 20 Which conditional probability below is either inaccurately described or inaccurately calculated The probability that a pitch not over the plate is a strike is zero So P AID 0 The probability that a pitch not over the plate is a ball is 1 So P BID 1 The probability that a pitch over the plate is a strike is 10 15 So O The probability that a pitch over the plate is a ball is 5 10 So P BIC 0 5

A simple dart target has two concentric circles The larger circle has a radius of 4 The smaller circle has a radius of 2 The scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring How many more points should a player receive for landing a dart in the inner circle as opposed to the outer ring The player should receive 4x times as many points The player should receive 2x times as many points The player should receive 9 times as many points The player should receive 3 times as many points

Convert the following to polar coordinates where angles are given in radians Give one representation with r 0 and one representation with r 0 6 pts each A Give rounded to 1 decimal place The point 3 5

A park in the shape of a quadrilateral ABCD has ZC 90 AB 9 m BC 12 m CD 5 m and AD 8 m How much area does it occupy

Let 1 3 2 and w 1 4 5 a Determine W 3 pts b c e d Determine 3 v 3 pts Determine 3 pts Find the unit vector in the direction of 3 pts Determine the dot product of and W 3 pts Angular coordinates Determing the angle between the vectors and w 3 pts

Convert the polar equation r 4r cose 3r sine to rectangular coordinates 8 pts

E3o luo ulo 1 Solve 1 of the 2 problem below Solve the triangle s find all sides and angles a 4 b 5 c 6 ers Angle A 40 Angle B 60 B 5 wood 21 lo sigas ne tihw Jisus 30 501 516 57q8 ml woll 2791 8 1001 201 to slam mais

6 Solve Pick 2 of 5 equations to solve algebraically Find the general formula AND all the solutions in the interval 0 2n or 0 360 00 9m6 2 MAX3 3165979 2sin x 2 1 2cos x cosx 0 3sin2x sinx 4 0 2cos 2x 2 tan x 1 2 Juo tiqa bns Juo tiqa bos 2 169 fregrist bris gniz00912 I 169 Inggrist 9219vni 9200 9219vni9niz 9thW deixe Jon 290b ji ti benitsbnu 9 tal 6920 ton od gulsv to6x9 90 bmi S 9u b9b99n 26 9it wod 10 glorio finu to rotexe riguon Vrniz niz niz T niz niz

1 216 grams of salt has a volume of 100 cm3 What is the density of salt Given Formula Solution Answer 2 A ball has a mass of 46 9 grams and a volume of 40 5 cm3 What is the density of the ball Given Formula Solution

G D 83 66 F E What is the measure of minor arc EG 17 75 149 O211

In circle O SU is a diameter S R 13x 15 9x 5 H What is mST O 100 O 108 O 130 O 160

B C The measure of BAC is 240 What is the ratio of the measure of the major arc to the measure of the minor arc 3 1 O 1 3 2 1 O 1 2

80 35 G Which equation can be used to find the measure of EHG O MEHG 80 35 180 O MEHG 80 35 360 O MEHG 80 35 360 OMEHG 80 35 180

B What does CDE describe O a minor arc a major arc a semicircle O O a chord

AT F B G D W H C In circle D which is tangent to the circle OTH O 19 O O EF

In circle O ST is a diameter 2x 8 R PU 3x 14 U S 3x 14 T What must be the value of x 22 0 25 0 O 25 4 0 37 2

In circle O RT and SU are diameters It mRV mvu what is m U 0000 64

In circle O AC and BE are diameters The measure of arc DC is 50 A O Of B What is the measure of EBC O 40 O 90 O 140 220

Triangle ABC is graphed y 10 9 8 7 6 5 4 3 2 1 D A E G 1 2 3 1 Find the point D that partitions segment AB in a 1 2 ratio C 2 Find point E that partitions segment AC in a 1 2 ratio Triangle ADE is 5 6 7 8 9 PI 3 How does triangle ADE relate to triangle ABC to triangle ABC The dilation factor is B 10

How are the semicircle and the diameter of a circle related O The length of the diameter and the length of semicircle are the same O The degree measure of the diameter and the degree measure of the semicircle are the same O The angle measure of the diameter is twice the angle measure of the semicircle O The angle measure of the diameter is half the angle measure of the semicircle

Concentric circles with center G have radii 5 and 11 as shown G LO 5 11 Which would prove that the circles are similar Dilate the smaller circle by a factor of If the circles were not concentric what additional ste would be needed to prove they are similar one of the circles so that the circles hav the same center

EH is a diameter of o D The measure of EF is 10x 8 and the measure of GH is 11x E D 22 F 67 H G Determine the values The value of x is The measure of EF is The measure of GH is degrees degrees

is a diameter of circle C E F 51 39 D C G B A What is mGEB O 90 O 180 O219 O231

NL and MK are diameters of circle J N M 62 J P K L Complete the statements about circle J MP is a and measures MLN is a and measures degrees degrees

1 Find the derivatives y tan x sec x 1 b y tan sec x 1

R The volume of a cone is V 1 3 TT R h 6 Suppose the height of a cone h is always 3 times of R and its volume V expands from V 1000 m to 1000 1 m approximate the change in radius with dR

Graphs of Logarithmic Functions 5432 3 no 2 H 2 3 44 2 5 4 3 2 1 1 54 2 13 1 2 3 4 5 Formulas for the Graphs a f x log z b f x log x c f x log 2 d f x log z

Which statements are correct Check all that apply A chord is sometimes a radius A diameter is always a chord A tangent is never a secant A chord can be longer than a diameter of the same circle A chord can be shorter than a radius of the same circle O A radius is always congruent to another radius of the same circle

U W 42 79 V Z S 100 X Y Complete the statements about circle Z A central angle such as angle angle whose vertex is whose sides are radii of the circle Angle The degree measure of an arc is measure of the central angle that intercepts it The measure of TU is degrees of circle Z is an and is not a central angle of circle Z the degree

12 12 TI F H 6 6 E 69 G Circle A has a radius of 6 Which circles are congruent to circle A Check all that apply circle D O circle E circle F circle G O circle H

B C D A E H F Identify the parts relating to A What is FC What is DB What is DH What is AC

Which circle C shows a chord that is not a diameter 2 C

You roll a 6 sided die What is P greater than 4 or less than 2 20 30 50

3 In the diagram AC is a tangent to the circle with center O What is the measure of X A B C

In the following diagram JL is a tangent to the circle with center O JO 34 and JK 30 L K 0

If BA is a tangent to the circle determine the value of x showing all steps of working 0 69 A B

The area of a circle is 88 cm If its radius is r cm find r correct to two decimal places Be careful not to round your answer until the very end Enter your next step here