Geometry Questions

S is a subset within a universal set U If S x y 4 9 which could describe U U keys on a keyboard U punctuation marks U letters U numbers

Three out of nine students in the computer club are getting prizes for first second and third place in a competition How many ways can first second and third place be assigned 9P3 9 9 3 3 84 504 2048

1 Find the area of the shaded region below Round to the nearest tenth 3

The diagram shows the universal set U parallelograms Set A represents parallelograms with four congruent sides while B represents parallelograms with four congruent angles U 8 12 18 A 8 B 6 How many of the parallelograms fall into the category AB 6 3

Set A I 11 Set B III On the Venn diagram which region s represent the intersection of Set A and Set B AnB 11 I II and III I and III I II III and IV

4 Find the area of the shaded region Round to the nearest whole number 3 cm 8 cm

6 Find the area of the shaded region Be careful There is a semi circle Round to the nearest tenth 2

3 Consider the circles tangent to each other in the square below Find the area of the shaded region Round your answer to the nearest hundredth 2 cm

5 Calculate the area of the shaded region when the square is inside of the rectangle below 8 2

2 Find the area of the shaded region Round to the nearest tenth 6 ft O 6 ft 14 ft

Find the exact value of sin J in simplest radical form L V99 18 K J 15

nearest tenth circle I IN 12 ide the square below the area of the region Ro your swer to

Find the exact value of sin R in simplest radical form 20 P 4 6 R

2 Find the area of the window shown below Round your answer to the nearest tenth 36 in

5 5 ft 61 20 ft feet ocrative zeam Richland School L Find the height of the top of the goal post rounded to the nearest tenth a foot

8 Which sector below has the greatest area F 8 30 5 60 6 45 4

11 In which of the following diagrams is QR tangent to circle S Circle the best answer 11 In which of the following diagrams is QR tangent to circle S ircle the best answer R 10 8 Q 19 C D A 7 S 12 8 R B R 18 7 2 S T D 14 S 25 T 6 2 S 15 Q 9 8 R X

be 1 y 2 2 Determine the eccentricity type of conic and directrix a 6 1 2 cos 0 42 2 7 sin 0

3 If OB has a radius of 4 and mAC 36 what is the area of sector ABC B T A 88 O A B 885 57

6 What is the degree measure of TUR F 32 HD 238 G 122 248 U Q R 32 S

the length of the darkened arc H 7 5A zoom in Which shows the length of the darkened arc 7 1 5 H 7 5T G 3T D15T H 18 in 60

For Exercises 1 3 use the figure at the right Which is a minor arc in OL AB BDB ABD CBD Which is a major arc in OL FADB DBA Which is a semicircle in OL A ADB 8 BCD A HAD BC D B n C DAL

Complete the statement A two points is a line that intersects a circle in A Secant B Chord C D Tangent none of these Tell which word best describes the line or segment HG A B C D Chord Secant Radius Tangent D B

Circle O is shown TK TL and CX are tangent to the circle TO has a length of 10 inches 4 K C 6 in T X

Rectangle ABCD is shown 10 8 6 4 2 0 B A 2 4 C D 6 8 10 Rectangle EFGH is created by dilating rectangle ABCD by a scale factor of 2 centered at the origin What is the length in units of side FG

3 Find the volume of the triangular prism below V 10in 6in 14in in

marks Sketch the following regions on distinct Argand diagrams a A z E C zi z i 4 b B z C z reit for r 1 3 0 0 E c AUB

Show Transcribed Text b c 24 Which of the following are x intercepts of the function 00 12 Dao d SE e F f 68 VV 5

5 For an ellipse that generates the ellipsoid of a lithotripter the major axis has endpoints 8 0 and 8 0 One endpoint of the minor axis is 0 3 5 Find the coordinates of the foci Draw a picture with the given information to help you get started

mine if the following equation has x axis symmetry y axis symmetry origin symmetry or none of these r x Axis Symmetry Oy Axis Symmetry Origin Summator

Answer Shipulate the graph of f x to display the graph of g x 1 x 6 Points can be moved by dragging or using the arrow keys STU 3 Enable Zoom Pan H

Step 2 of 2 Identify the shape of the more basic function found in step 1 Answer

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