Geometry Questions

Consider the following function r x x 3 4 Step 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed Answer 560

A hall 150 feet in length is to be designed as a whispering gallery If the foci are located 20 feet from the center how high will the ceiling be at the center The ceiling will be about feet high Type an integer or decimal rounded to one decimal place as needed

Consider the following function 5 x 5 Step 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed Answer

Find the value of the angle 8 in degrees rounded to the nearest tenth of a degree needed A

A state trooper is hidden 30 feet from a highway One second after a truck passes the angle 8 between the highway and the line of observation from the patrol car to the truck is measured See the illustration Complete parts a c a If the angle measures 17 how fast is the truck traveling Express the answer in feet per second and in miles per hour If the angle measures 17 the speed of the truck is feet per second Do not round until the final answer Then round to two decimal places as needed

Consider the following function v x 5 x 4 Step 1 of 4 Determine the more basic function that has been shifted reflected stretched or compressed Answer

Draw each angle in standard position Find the exact value of the trigonometric function from the unit circle and the calculator 1 sin 90 2 cos T 3 tan 270 4 cot 180 5 csc 2 6 cos 45 7 sin 8 tan 135

Write the equation of the trigonometric graph 3 5 41 6 M 8 s

4 Sketch a graph for the four points A 3 1 B 3 10 C 10 24 and D 18 20 in H and CD Euclidean distance appear to be approximately the same Compare these distances to a AB b CD

An object is propelled upward at an angle 8 45 0 90 to the horizontal with an initial velocity of vo feet per second from the base of a plane that makes an angle of 45 with the horizontal If air resistance is ignored the distance R that it travels up the inclined plane is given by the formula below Complete parts a c v 2 32 R sin 28 cos 28 1 a Find the distance R that the object travels along the inclined plane if the initial velocity is 88 feet per second and 8 60 R feet Do not round until the final answer Then round to one decimal place as needed

centered at the origin and passing through the point 7 0

Which blood type is independent of gender OA OB 00 Blood Type AB A B O AB Gender Male Female TOTAL 105 93 99 84 160 140 15 18 TOTAL 379 335 198 183 300 33 714

Refer to your completed table for the question referring to childrens shows What percent of all children like the Simpsons Round your answer to the nearest tenth of a percent Type a numerical answer in the space provided Do r include or spaces in your answer

A review of voter registration in a small rural town revealed the following Male Female TOTAL DEMOCRAT 600 600 1 200 REPUBLICAN 500 300 800 OTHER 122 100 222 2 222 TOTAL 1 222 1 000 Refer to the table above Determine the percent of all voters that did not vote Republican or Democrat but voted instead Round your answer to the nearest tenth of a percent Type a numerical answer in the space provided De include or spaces in your answer

A survey of patients at a hospital classified the patients by gender and blood type as seen in the two way table Blood Type answer Male Female TOTAL 105 93 99 84 160 140 15 18 TOTAL 379 335 A B O Gender AB 198 183 300 33 714 Based onthe data what percent is the probability that a female patient will have type O blood Round your answer to the nearest tenth of a percent Type a numerical answer in the space provided Do not include or spaces in your

5 4 In Exercises 8 10 find the values of x and y 8 9 7 2y 4x 2 y 25 15 10 2y 10 x y

Draw the image of the triangle under a dilation with the center at the origin 0 0 and a scale factor of 2 To graph the triangle click on the polygon graphing tool Then single click on the first two vertices Then double click on the last vertex Be A 11 10 9 8 7 6 5 4 3 2 Clear All Draw Polygon 1 10 9 48 7 6 A w 2

y tan TC y tan x x 3 CLEE NO y tan x Drag each of the functions given above into the appropriate area below depending on which function is represented by which graph 1 2 Q KN y tanx O O

Match the points plotted on the graph with their polar coordinates y A B A C 4 D E B F G x y 2 3 2 4 X C D E

have 720 ft of fencing to enclose a rectangular area One side will be protected by an existing fence What are the dimensions of the largest ar hat can be enclosed Select one O a O b O c O d 180 by 180 64 800 ft 180 by 360 32 400 ft

3 5 a Find the area of the triangle pictured above Round your answer to the nearest tenth

Use the figure to help you answer the question What is the sum of the interior angles of the regular polygon show Select one O a 135 O b 1 080 O c 1 440 O d 2 160

Find the value of x Round to the 1 40 X 900 ft

This is a 2 page document Use for questions 1 3 There are 9 red markers 5 blue markers 14 yellow markers and 8 green markers in a pencil box A marker is chosen at random replaced then another is chosen Find each probability 1 P yellow then red 2 P blue then green 3 P both red Use for questions 4 7 The spinner below is spun twice Find each probability 4 P diamond then circle 5 P both stars 6 P shaded then heart 10 P at least 11 then N Use for questions 8 11 A bag contains 20 slips of paper individually numbered 1 20 If a slip of paper and a letter in the word PENNSYLVANIA is chosen at random find each probability 8 P less than 15 then a vowel 9 P multiple of 4 then V 7 P both unshaded 12 Bella guessed on the last three questions on her science test If each question has five answer choices what is the probability she got all three correct 11 P a prime number then a consonant 13 It has rained two out of the past nine days Based on this data what is the probability that it will not rain for the next four days

A radio tower is located 325 feet from a building From a window in the building a person determines that the angle of elevation to the top of the tower is 38 and that the angle of depression to the bottom of the tower is 28 How tall is the tower Round answer to one decimal place feet

Find the measure of angle x if possible Notice that is an obtuse angle Round to the nearest tenth If not possible enter IMPOSSIBLE 51

Write the first five terms of the sequence a 1 82 a3 10 A 11 a 5 n n 4 4n 1 0 86 X 7 11 8 15 Fantastic w XX

1 8 cm 10 cm Number of Faces Surface Area 6 cm 7 cm 8 cm 10 cm 6 cm 7 cm

44 What What is the perimeter of the right triangle shown at the right

13 What is the perimeter of AXYZ Y 7 5 X B 6

2 What is JL A 4 5 B 6 75 C 8 75 D 12 5 8 K M

4 The orbit of Halley s comet is 36 18 AU long and 9 12 AU wide What is its eccentricity

2 In the circle above GJ 9 JF 6 HJ 15 and JE x 5 Determine the length H 15 J 6 G F

4 In the diagram below of circle O chord AB bisects chord CD at E If AE 3 and of CE in simplest radical form 8 E D

1 In the circle above SA 2x 12 QA 18 PA 20 and AR 27 Determine the length of P S 2x 12 20 A 27 18 Q

3 In the accompanying diagram of the circle below SW 6x WQ Determine the value of x 12x PW Fu R 9 and WR 8 2 4 12x 2

equation that is perpendicular to y 2x 3 and passes through the point 5 3 6 A1 Spiral Write an

5 SAT Question Equivalent Expressions Which of the following is equivalent to 12x a b C 1 8x 3x 4 2x 3x 1 2x 3x d 1

are 5 and 2 7 8 04 Review Find the hypotenuse of a right triangle when the legs

x Let x y be defined as follows x y 2xy 2 y x If a b 0 and b 0 which statement COULD be true x X X A X B 5 of 10 X D E a 5 b 1 5 C a 1 b 1 a 2 b 1 13 50 a 0 b 1 a 3 b 3

Skill Concept x Define x y z as follows x y z xy yz 1 2xy Evaluate 6 12 108 X X A X B 64 344 C 0 3 of 10 x X D 64 12 46

Let the expression m A n be defined to mean 2mn m Then 3 5 A 7 X x X X X A 225 B 105 C 75 D 210 X E 1 of 10 06 16 II 280

7 Suppose we decreased each dimension in the following trapezoidal prism by a factor of What will the new volume be 12 5 10 V eno

Solve the triangle A 37 C 95 c 18 for b

x 14 4 In the circle A above DF 4 BF 6 FE x 10 and CF a Determine the length of DE b Determine the circle s circumference in terms of E B

7 In the diagram below of circle O AE x EB x 1 CE x 1 and ED 2x Find the length D B 0 E O A

2 In circle G above mzJ 2x 18 and mIH x 63 Determine the mZHGI H O

2 In the diagram above diameter AB bisects chord CD at point E in circle F If AE 5 and FB 10 determine the length of CE in simplest radical form E F

wor 1 In the circle below FC 10 FB x 10 EF 6 and DF 5x a What is the value of x LU HOLL b Which segment above is the greatest in length a FB b FC A m Diagram is not drawn to scale

4 In the diagram YOU DO ROUND 2 3 In the accompanying diagram of circle O chord CD bisects chord AB at E CE 2 and AB Determine the length of ED A E 0 B