Geometry Questions

Match the function y cos 2x with its graph Which is the correct graph of the equation O A B A OON O C

A solid with surface area 50 square units is dilated by a scale factor of k to obtain a solid with surface area 200 square units Find the value of k 4 1 O2

ert the following degree measure to radians 90 radians Simplify your answer

e figure at the right shows an angle 0 in andard position with its terminal side 7 24 ersecting the unit circle at P 25 25 valuate the circular functions at 0 n0 ype an integer or a simplified fraction Os 0 ype an integer or a simplified fraction n0 an integer or a simplified fraction 0 P 1 0 G

Suppose the following plate is placed on a vertical wall so that the top of the plate is 1 m below the surface of a pool that filled with water Compute the force on the plate A plate shaped like an isosceles triangle with a height of 1 m and a base of length 1 2 m If a y axis in the vertical direction is drawn on the face of the triangle where the origin is the vertex of the trianglo find surface 1 2 m

Which of the following is the surface area of the right cylinder below 1 6 15 OA 225 units OB 540 units C 252 units

lim sin x 4 sin 4 2 0 sin x 4 O sin x cos 4 cos x sin 4 sin a sin 4 cos x cos 4 sin a sin 4 cos x cos 4 sin x cos 4 cos x sin 4 W So sin 4 sin 4 sin z cos 4 sin 4 cos x 1 sin x cos 4 cos z sin r sin x 4 sin 4 So 0 0 sin z cos 4 sin 4 cos z 1 H sin 4 sin 4 A sin z 4 sin 4 lim 2 0 sin z cos 4 lim 0 Part 2 of Part 3 of 5 Part 4 of 5 Part 5 of 5 sin 4 cos z 1

What is the surface area of the right cone below 13 14 OA 104 units O B 54 units OC 68 units PREVIOUS

Which of the following is equal to 2x 3x 2x sin 2x 2x sin 3x 3x sin 2x 3x sin 3x 2 sin x 3 sin x sin 22 32 sin 22 2x 2z sin 32 sin 2x sin 3x Which of the two expressions can be multiplied to obtain more expressions 3z sin 3x assume 0 Select all that apply E Part 2 of 3 2x sin 2x Select two or 2x sin 3x

The cone and the cylinder below have equal surface area 3r O A True B False HY

What is the surface area of the right cone below 15 8 A 304 units OB 184 units O C 496 units D 248 units

Which of the following formulas would find the lateral area of a right cone where r is the radius and s is slant height A LA Trs B LA rs C LA rs D LA 2 rs

The surface area formula for a right cone is the same as the surface area formula for an oblique cone OA True B False

5 4 Quiz Which of the following formulas would find the surface where h is the height ris the radius LA is the lateral area and BA is the base area Check all that apply A P rh B 2 2rh C LA P D BA 2

O is the center of the regular decagon below Find its area Round to the nearest tenth if necessary 14

Which of the following is the surface area of the right 2 OA 187 units OB 174 units G198 units

Given a right cylinder where h is the height and ris the radius what does the expression 2 th represent O A Area O B Lateral area O C Base area OD Volume

The lateral surface area of cone A is exactly the lateral surface area cylinder B A O A True OB False HT B

The two cones below are similar What is the height of the smaller cone O A 200 OB 5 28 5 O C 5 0 1 X 4 iffe

The two prisms below are similar What is the value of x O A 1 OB 10 O C 15 D 5 121 1 10 15

The ratio of surface areas of two similar solids is equal to the square of the ratio between their corresponding edge lengths OA True B False

If two pyramids are similar and the ratio between the lengths of their edges is 4 9 what is the ratio of their volumes O A 16 81 O B 81 16 O C 4 9 D 64 729

If the ratio between the radii of the two spheres is 3 7 what is the ratio of their volumes OA 27 343 OB 21 49 C 9 49 7 3

The two solids are similar and the ratio between the lengths of their edges is 2 9 What is the ratio of their surface areas O A 8 36 B 4 18 C 4 81 161 18 36 8

The two solids below are similar and the ratio between the lengths of their edges is 4 5 What is the ratio of their surface areas OA 16 25 B 16 20 OC 64 125 01 5 4

If two cylinders are similar and the ratio between the lengths of their edges is 4 3 what is the ratio of their volumes A 16 9 B 4 3 C 64 27 D 16 27

List the angles of each triangle in order from smallest to greatest 1 7 5 3 4 2 6 A 25 21 13 N 6 38 28 R 26 O

7 P 7 cm R 13 cm 11 cm 8 5 5 ft M 6 ft 1 ft N 9 Q 1 9 cm s 4 1 cm 4 0 cm R

13 50 40 30 14 28 21 20

The lengths of the sides of a triangle are given Classify each triangle as acute right or obtuse 10 21 15 8 11 20 16 12 12 6 5 4

List the sides of each triangle in order from shortest to longest 2 B 41 56 0 3 75 107 R

For triangle DEF given sides d 38 e 42 and f 47 find the measure of angle F Your answer will be numerical only and round to the nearest tenth

1 2 3 Directions Complete the table below by listing the attributes of each shape Write zero 0 or N A if the attribute does not apply For columns B D and E write the names using words not symbols A Shape O B Name of Shape SPhere 1 cone C Number of Face s include bases in this number Cylinder Pyramia 2 Triangle E Pyram 3 5 Rectangle Prime 6 3 D Shape of Face s circular curved No circular Triangle E Rectangular Face F Shape of Base s curved curved Lateral square Square Triangular Triangle F Number of Straight Edges 4 2 8 12 9 G Apex O O 5 8

AC is tangent to circle O at point C What is the length of AC units MORAL A B O C 3 MOHO MOKO A WERE SHEPPADE AVVER GERI

A compound contains 85 8 carbon and 14 2 hydrogen Molar mass of the compound is 84 07 g mol What are the empirical and molecular formulas of the compound EMPIRICAL FORMULA SUBSCRIPTS C blank 1 H blank 2 MOLECULAR FORMULA SUBSCRIPTS C blank 4 H blank 5 Blank 1 Blank 2 Blank 3 Planks A

All sides of quadrilateral ABCD are tangent to circle P What is the perimeter of the quadrilateral below units 12 0 P B

AC is tangent to circle O at point C What is the measure of ZOAC B O 45 C

All sides of quadrilateral ABCD are tangent to circle P What is the perimeter of the quadrilateral below 12 2 units A DK P 12 1 3 3 B 5 1 C

Angle A is circumscribed about circle O What is the length of AB units C 73 3 B

Angle A is circumscribed about circle O What is the measure of ZD O A C 80 O B D

Jermaine lives in North Carolina and pays 5 5 in sales tax If he just a pair of slacks that cost 28 what was the total amount he paid for the slacks including sales tax OA 26 46 OB 43 40 OC 29 54 OD 15 40

Gail lives in Kentucky and pays 6 in sales tax She just bought 165 in groceries but 80 worth of those groceries were nontaxable What is the total amount that Gail paid for the groceries including sales tax A 165 99 OB 174 90 C 165 51 170 10

The state of Utah has a sales tax of 4 75 and the maximum rate a consumer can pay for local sales tax is 8 35 What is the range of possible sales tax rates that a consumer could pay on a taxable item in the state of Utah O A At least 4 75 and at most 13 1 O B At least 3 6 and at most 13 1 O C At least 4 75 and at most 8 35 O D At least 3 6 and at most 8 35

The Griffins and the Corbins live in the same city and pay the same sales tax rate and both families made 12 000 in taxable purchases last year If the Griffins made 73 000 and the Corbins made 29 000 last year is the sales tax in their city an example of a regressive tax A Yes because the Corbins paid a higher percentage of their income in sales tax than the Griffins did OB Yes because the Griffins and the Corbins both paid the same sales tax rate OC No because the Griffins and the Corbins both paid the same sales tax rate OD No because the Corbins paid a higher percentage of their income

Use your Transformations Reference Sheet to follow the rules 1 3 5 7 Reflection across the x axis A V 5 4 3 2 2 8 7 6 5 4 3 2 1 D H 2 1 G Reflection across the line x 3 AY G D X 3 4 5 2 Reflection Across the y axis YA X X 2 4 6 8 Reflection across the line y 5 AV Reflection across the line y x AV K 5 4 3 2 41 1 1 3 4 21 Reflection Across Line y x YA X Reflection Across the line x 1 Reflection across the line y 1 YA AV I k 432 4 3 2 1 2 3 4 X X

Alan took a vacation trip to Maine where sales tax on taxable items is 5 In Maine prepared food and lodging are taxed an additional 2 for a total of 7 tax while auto rentals are taxed an additional 5 for a total of 10 tax Alan bought 90 worth of souvenirs taxable at the general rate He also spent 420 on prepared food and lodging and 510 for a rental car all before tax How much did he spend in total after tax was included OA 1020 00 B 1058 40

Donte and Trista both bought the same three ring binder for 5 Donte lives in Arizona and pays 5 6 in sales tax while Trista lives in New Jersey and pays 7 in sales tax How much more did Trista pay in sales tax than Donte O A 0 63 OB 0 28 O C 0 07 D 0 35

Orlando lives in South Dakota and pays 4 in sales tax He bought a refrigerator and the amount he paid after sales tax was applied was 2749 87 What was the approximate cost of the refrigerator before sales tax was applied O A 2859 86 O B 2760 87 C 2644 11 D 2738 91

A state gets its money from a state lottery a property tax a sales tax of 5 and an excise tax This year it projects that it will receive 28 million from the state lottery 36 million from the property tax and 12 million from the excise tax If the state needs 100 million to cover its expenses how many dollars worth of taxable items must be purchased in the state this year for the state to break even A 120 000 000 B 480 000 000 C 24 000 000 D 1 200 000

Devin was born in Minnesota but now he lives in lowa close to where Wisconsin and Illinois meet He works in Wisconsin but he buys all of clothes at a store in Illinois If the sales tax rates for the four states are shown in the following table which sales tax rate does Devin pay on th clothes he buys O A 6 25 B 6 875 State Illinois lowa Minnesota Wisconsin Sales Tax Rate 6 25 6 6 875 5