Geometry Questions

5 The equation 34 81 rewritten in logarithmic form would be A log4 3 81 Blogg1 3 4 log4 81 3 log 81 4

Need Help Talk to a Tutor cos 2x 1 cos 2x O 0 1 points Previous Answers SPreCalc6 7 3 016 My Notes Ask Ye Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine as in Example 4 cos x

13 Prove these quadrilateral are parallelograms using the following formulas 2 x x x 325 40 6 5 A 6 2 y y 2 5 8 8 I

What is the volume of a hemisphere with a radius of 4 8ft rounded to the nearest tenth of a cubic foot Answer ft 3

Compound propositions s t and u are made of two atomic propositions p and q The truth table is given below What conclusion s can you make from this truth table about s t and u Write your answer in the space below Tip Consider the type of propositions tautology contradiction contingency whether they are logically equivalent or not as well as any other relation q u S F 201 F F p T T F LL T F T T F F T F F

The angles shown are compleme angles Determine the measures 42 What are the measures of 41

Suppose an arc of length s lies on the unit circle x y2 1 starting at point 1 C and terminating at the point x y Use a calculator to find the approximate coordinates x y Round coordinates to four decimal places when appropriate X COS B y sina 1 0 00 1 0 1 Are of lengths The unit circle x2 y2 1 1 0

1 Given that y y x is a function of x Find dy dx using implicit differentiation if y 2xy x 2 Find the tangent line to the graph y y x at the point 1 3 2 Given that x x t and y y t are two functions in the variable t and that

3 Given the following sign chart of the 1st derivative f x of y f x with f x 0 at x a b c d and e Draw a graph of y f x over the sign chart Label the points on your graph y f x corresponding to x a b c d and e f x 6

5 A box is shown below where x is in meter 2x 2x A Find total surface area S and the volume V in terms of x then express S in terms of V B Find dS in terms of dV and approximate the change in the surface S when

8 Is the following function continuous at x 1 Give the reason for your answer clearly If it s not continuous at x 1 is the discontinuity removable 9 Find the following anti derivatives A x x dx c f 1 dx dx x 4 ln x S E x 2x 3 x 1 1 x 3 x 1 x 1 5 x Show all steps B Stan x sec x dx D fxe dx

Find the supplementary The supplementary and Simplify your answer

Find the value of x and the value of both angles 13 5x 2 x 8

5 In the circle C above mzBCA x 12 and mAB 3x 24 What is the mZAFB X 12 3x 24 a 15 b 30 C 48 d 60 B 08 cup 12 H28 403 681 PP pp up A

e diagram belo Which of the following best describes line AB a Arc b Chord C Radius d Tangent Line Which of the following best describes line FD a Secant Line b Chord C Radius d Tangent Line Which of the following best describes EC a Arc b Chord C Radius d Tangent Line hich of the following best describes line BE a Secant Line b Chord B A D C F

6 Given the area of Circle Pis 128 cm determine the diameter to the nearest whole number de Area of a circle 128cm a b C d 41 cm 13 cm 20 cm 6 cm 2

Use the diagram below to answer 7 and 8 In circle B below the radius is 6 inches and the mzABD What is the area of sector CBD 7 a b C a d b C d 117 6 25T 6 117 2 8 What is the arc length of AD 25T 2 117 6 25T 6 117 2 25 2 Central angle 180 55 125 55 Area 125 TI X 360 2 of sector

In the circle below m2F 6x 40 and mzG 2y What is the mHEF 6 points 6x 20 8x 34 6x 40 180 20 94 180 94 94 20 20 20 M HEF 1 H being 8x134

4 Claire is considering investing in a new business In the first year there is a probability of 0 2 that the new business will lose 10 000 a probability of 0 4 that the new business will break even 0 loss or gain a probability of 0 3 that the new business will make 5 000 in profits and a probability of 0 1 that the new business will make 8 000 in profits a Claire should invest in the company if she makes a profit Should she invest Explain using expected values b If Claire s initial investment is 1 200 and the expected value for the new business stays constant how many years will it take for her to earn back her initial investment

5 Tanya is considering playing a game at the fair There are three different ones to choose from and it costs 2 to play a game The probabilities associated with the games are given in the table Game 1 Game 2 Game 3 Lose 2 0 55 0 15 0 20 Win 1 0 20 0 35 0 60 Win 4 0 25 0 50 0 20 a What is the expected value for playing each game b If Tanva decides she will play the game which game should she choose Explain

X 3 The point guard of a basketball team has to make a decision about whether or not to shoot a three point attempt or pass the ball to another player who will shoot a two point shot The point guard makes three point shots 30 percent of the time while his teammate makes the two point shot 48 percent of the time 3 P x X P x 0 30 2 0 48 0 0 70 0 0 52 a What is the expected value for each choice b Should he pass the ball or take the shot himself Explain

2 A game at the fair involves a wheel with seven sectors Two of the sectors are red two of the sectors are purple two of the sectors are yellow and one sector is blue Landing on the blue sector will give 3 points landing on a yellow sector will give 1 point landing on a purple sector will give 0 points and landing on a red sector will give 1 point a Let X the points you have after one spin Fill out the missing values in the table X P X b If you take one spin what is your expected value c What changes could you make to values assigned to outcomes to make the name fair

1 Miguel is playing a game in which a box contains four chips with numbers written on them Two of the chips have the number 1 one chip has the number 3 and the other chip has the number 5 Miguel must choose two chips and if both chips have the same number he wins 2 If the two chips he chooses have different numbers he loses 1 1 a Let X the amount of money Miguel will receive or owe Fill out the missing values in the table Hint The total possible outcomes are six because there are four chips and you are choosing two of them C X P x 2 7 1 b What is Miguel s expected value from playing the game Based on the expected value in the previous step how much money should Miguel expect to win or lose each time he plays d What value should be assigned to choosing two chips with the number 1 to make the game fair Explain your answer using a complete sentence and

holastic Student 1 i SRI College Career use the Fossil Life An In NG METHODS Tell whether you would us metric ratios to solve the triangle with the 5 a 12 b 21

ESTIONS Item 1 Item 2 Item 3 Item 4 8 CCSS G MG 3 Find the Area of regular polygon 6 ft

TIONS em 1 em 2 em 3 m 4 m 5 n6 n7 6 Find the area of each of the regular polygons shown be Polygon 14 49 ft 12 ft 9 63 in 337 05 695 52

IS 5 Find the area of the figure sho 4 cm 3 cm 18 cm 12 cm 3 cm

ss PowerSchool YouTube Figures Regular Polygons Find the area of the figures shown below and drop th DRAG DROP THE ANSWER 55 cm 36 m 38 cm DeltaMath E Edulas 9 58 cm 39 m O 5 cm

Composite Figures Regular Polygons IS 4 Find the area of 3

blems 3 Find the area of the parallelogram sho D

Assignment Area Practice Problems QUESTIONS Item 1 OItem 2 OItem 3 Item 4 Item 5 4 Find the area of the parallelogram shown below H 6 m G 11 m

roblems 7 The area of circle is g Find the radius of cin

ignment Area Practice Problems STIONS Item 1 tem 2 tem 3 em 4 em S m 6 8 Find the difference in area of Use 3 14 for pi A Select the proper units n m CI m

e Problems 11 If EF 28 ft find the sector area of the s 82

QUESTIONS 0 hem 1 hema Item 2 0 Item d frem 5 4 Item Jtem 7 Item H Hem 9 5 Ashley drew the triangle LM N on the

rea Practice Problems 2 Find the area of the trapezoid shown below 11 4 11 11 19 12 08

Draw the image of PQ after a translation by v 3 5 followed by a reflection in the line x 2

Move the slider h so that the graph of y 2 gets shifted horizontally 3 units Then type the new function f x in the answer box w N T 6 5 4 3 2 Don t forget to shift the graph horizontally Using function notation i e fix 2 2 f x 2 2 3 6 h 2 00 O 5

Complete the table Then graph the function h x 5 3 h x X Graph the function 50 45 40 35 30 25 20 15 10 5 0 1 2

3 Name the isometry that maps PQRS to each figure D A B P B R

Consider the following x 4xy 2y 10 Use a graphing utility to graph the conic Determine the angle 0 s 8 s 90 through which the axes are rotated in degrees R your answer to two decimal places

A radio transmission tower is 200 feet high How long should a guy wire be if it is to be attached to the tower 10 feet from the top and is to make an angle of 24 with the ground The guy wire is approximately feet long Do not round until the final answer Then round to the nearest tenth as needed

Parallelogram ABDE is made up of Rectangle ACDF Triangle ABC and Triangle FDE The rat the length of CD to the length of BC is 81 Triangles ABC and FDE are identical and the heig of each triangle is 7 inches The area of Triangle ABC is 14 square meters Find the area of Parallelogram ABDE 132 A 2145 B CH 7 in 32 in F D E 224 252 22

Practice 2 Une Segment AC AB BC BC is a Find the length and slope of each line segment Then classify the triangle Length Slope Is AABC a right triangle triangle T 2 234 3 567800 6 6 7 8 1 2 3 4 5 6 7 A 9 10 8 9 10

Practice 1 Find the length and slope of each line segment Then classify the triangle 10 8 6 4 2 Line Segment AB BC CA ADEF is a 8 6 2 B Length 8 10 triangle Slope

3 True or False Explain your answer COS os 1 12 0 cos 0

Bolve the following problems and round to the nearest tenth when necessary 4 If the radius of the cone is 5 inches and the height of the cone is 18 inches what is the slant height of the cone 10 18 2 C 124 1527 20 6 An Eqyptian pyramid has a square base that measures 80 meters on each side If the height of the pyramid is 30 meters what is the slant height of the pyramid 40 4363 5 The square base of the pyramid has an area of 144 square feet If the slant height of the pyramid is 10 feet what is the height of the pyramid V 144 OF etic 7 Kathleen s ice cream cone has a diamete of 9 cm and a slant height of 7 5 cm What the height of the ice cream cone 7 5cm NV

Designs The following designs can be constructed using only compass and straightedge How many of these designs can you construct Hint It may be easier to construct versions larger than those shown TIONS 2 A C E 4 B D F

Given that cos a 13 cot a 5 6 3 with a 2 3 and cos b with 8 14 cos a b 3T 2 b 27 find the following 15 sin b

1 Determine a plane motion which will take AABC to AA B B