Geometry Questions

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

You flip a coin twice What is the probability of getting tails and then getting tails Simplify your answer and write it as a fraction or whole numb

What is the circumference of the Ferris wheel Give your answer correct to one decimal place 8m

A health instructor surveyed all her students and tallied the results The first survey question asked Do you adhere to a vegetarian diet or omnivorous diet The second question asked Approximately how often do you exercise Daily Weekly A vegetarian diet 4 2 An omnivorous diet 3 1 What is the probability that a randomly selected student exercises weekly given that the student adheres to an omnivorous diet Simplify any fractions

2 REAL WORLD CIRCLE PROBLEM You are STARVING and about to order pizza You are deciding between buying one 8 inch pizza or two 12 inch pizzas Which pizza would be best for you to order Why FVE NEVER MET A PIZZA

1 Determine the area of the shaded region in terms of Plan Work 2

In circle P the measure of ZQPS is 15 and RQ is a diameter R P 105 T S Find the arc measures mQT MRT S MQTR lo

G C 126 H 41 FL E Which statements are correct Check all that apply Arc GF is a major arc One major arc is GHE Arc FE is a minor arc The measure of FE is 41 The measure of GCF is equal to the measure of ZGDE Arc GHE is a semicircle

Diego claims that he can tell using slopes that this que Noah looks at the slopes Diego calculated and says he could be even more specific and call it a rectangle Do you agree with either of them Explain or show your reasoning X 10 8 W 6 YA 10 8 6 4 NG 20 2 4 6 8 10 1 pt who you agree disagree with 2 4 Y 10X N

2 Create a relative frequency table using the table from 1 by filling in all joint and marginal relative frequencies Answer the questions that follow to the right Mascot Hawks Eagles Total Colors Blue Black Red Silver Total a What percent of the students prefer the Hawks and blue black for colors b What percent of the students prefer the Eagles c What percent of the students prefer the Hawks or red silver for the colors

Which equation is of a line that passes through 4 1 and is perpendicular to the line y 2x 3 Oy 2 1 Oy 1 x 4 Oy 1 2 z 4 Oy 1 1 x 4

Which circle with center U shows a central angle whose intercepted arc zy measures 58 N 58 U W 589 Z OBC V 58 U W 58 U Z

The parabola in the image below has its focus at 2 3 and its directrix line at y 1 the point 2 6 is on the parabola Select all of the statements that are true The equation x 2 y 3 y 1 represents the parabola O The equation x 2 y 3 y represents the parabola 0 If point x y is on the parabola then the distance between x y and the point 2 3 is the same as the distance from x y to the x axis O The point 2 6 is the same distance from 2 3 as it is from the line y 1 O The point 4 3 is on the parabola The point 1 5 5 is on the parabola

The image shows lines AB and CD Are the 2 lines parallel Explain select the sentence that best answers the question B G 2 YA S4 5 3 2 1 O 1 2 B 6 7 8 O No the slopes of the lines are not the same O Yes the slopes of the lines are not the same O No the slopes of the lines are the same OYes the slopes of the lines are the same

Consider the line represented by y 4 x 9 Which equation represents a different line with the same slope that passes through the point 3 6 Oy 6 x 3 Oy 6 x 3 Oy 3 x 6 Oy 6 x 3

ns Find each probability using permutations 15 If six students randomly line up for lunch what is the probability that they line up from shortest to tallest if they are all different heights 16 If the letters in the word NEIGHBOR are randomly rearranged what is the probability that the arrangement ends with the letter B Directions Find each probability using combinations 17 A committee of three people is to be chosen 18 There are 11 boys and 5 girls that tried out to from a group of 14 people If Evie is in the sing a duet in a chorus concert If the director must choose two what is the group what is the probability that she will be chosen for the committee probability that both students chosen are boys

Directions Evaluate the following 1 51 1 P 2 5 181 121 C 3 Pa

5 m 02 6 O 10 6 m x m x 2 m What is the value of 3x

SWYK U6L7 8 Parabolas The parabola in the image below has its focus at 2 3 and its directrix line at y 1 the point 2 6 is on the parabola Select all of the statements that are true O The equation x 2 y 3 y 1 represents the parabola O The equation x 2 y 3 y represents the parabola If point x y is on the parabola then the distance between x y and the point 2 3 is the same as the distance from x y to the x axis The point 2 6 is the same distance from 2 3 as it is from the line y 1 O The point 4 3 is on the parabola The point 1 5 5 is on the parabola