2D Geometry Questions and Answers

csc 81 53 c 81 53 ype an integer or decimal rounded to four decimal places as needed

The measure of the minor arc in the circle shown below is 210 degree

Select all the central angles in circle G D E F A angle DAF Bangle EGB angle CGB Dangle EGF E angle BEG G C B

The diagram shows circle P G C D F H CLABC Select all the angles that are central angles A LADP BLCPD D ZEPF E ZFGH AE

Two chords intersect in circle O as shown 170 o What is the value of z in degrees to 74

Angle ABC is inscribed in a circle as shown B 120 C What is the measure in degrees of ZABC degrees

Angle Y is inscribed in the circle below Z 60 What is the measure of arc XZ A 120 B 30 C 300 D 60

Sketch the graph of the function and compare the graph to the grap 3 f x arcsin Step 1 Recall the definition of the inverse trigonometric functions The invers sine function is defined by y arcsin x if and only if sin y x with appropriate restrictions on the domain According to this definition the equation equivalent to 6

6 17 Find two possible sets of 8 side lengths for AABC In AABC csc A A B C A B

11 Find csc if cot 0 7 co 3

Find the exact values of the six trigonometric functions of the angle 1560 sin 1560 cos 1560 tan 1560 Simplify your answers Type exact answers using radicals as needed Use integers or fractions for any numbers in the expression Rationalize any denominators

Use a calculator to find the decimal approximation for the following value tan 9 tan 9 Round to seven decimal places as needed

TT 10 Put the following in order from least to greatest sec 3 cot T CSC tan T

5 Complete the table to indicate for which angles between 0 and 27 each of the six trig ratios are undefined sin 0 cos 0 tan 0 csc 0 sec cot 0 is undefined when 0 N A

5T 7 5t 7 Type your answer in radians Type an exact answer using as needed Use integers or fractions for any numbers in the e The reference angle for is

Find the exact value of csc CSC T IN Simplify your answer including any radicals Use integers or fractions for any numbers in

Sketch an angle 8 in standard position such that has the least possible positive measure and the point 5 12 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below O A 18 18 Ay 18 O B 9 18 15 18 Q O C 18 k 18 18 o G

What is the surface area of a sphere with a radius of 14 units A 449 units OB 784 units C 784 units OD 288T units

The axis of the sphere below is 12 units in length What is the surface area of the sphere A 256 units B 72 units C 144 units D Cannot be determined

Keegan s annual gross income is 66 800 but FICA is deducted from his paycheck and 28 of his salary is withheld for income taxes federal state and local combined as well If his employer pays 85 of the cost of a 2600 per year health insurance plan and if health insurance is Keegan s only optional deduction what is his monthly take home pay A 3397 98 B 3975 50 C 5566 67 D 3549 65

The cost of 500 000 worth of 15 year term life insurance for Audrey is 28 44 per month If Audrey s employer covers 75 of this cost how much i deducted from Audrey s gross income per year for life insurance A 255 96 B 21 33 C 85 32 D 341 28

Using the table below what is Tyson s take home pay Annual Salary Federal Income Tax FICA Disability Insurance Life Insurance A 40 260 B 32 000 O O C 21 437 O D 28 524 Tyson 42 500 8500 3251 2125 100 Esmerelda Xavier 60 000 12 000 4590 3000 150 32 000 6400 2448 1600 75

Asako s employer covers 90 of the cost of a 3500 per year health insurance plan and 60 of the cost of a 1300 per year disability insurance plan If Asako gets paid monthly what is the total amount deducted from her gross income health and disability insurance during each pay period OA 327 50 OB 36 25 OC 163 75 OD 72 50

field project superintendent earns an annual salary of 72 800 Ontributes 7900 per year to her 401 k plan If she has a required deductio or income taxes federal state and local combined of 28 of pretax come how much does she have withheld in income taxes per year OA 22 120 OB 22 596 OC 18 172 D 20 384

OA gross income required deductions optional deductions B net income required deductions optional deductions C net income required deductions optional deductions D gross income required deductions optional deductions

Whitney contributes 13 of her 70 600 annual salary to her 401 k plan What is her pretax income O A 71 41 92 O B 61 422 O C 49 016 O D 59 808

Eli s employer covers 60 of the cost of a 4900 per year health insurance plan and Eli s share of the cost of the plan is his only optional deduction How much is deducted from Eli s paycheck each month for health insurance OA 163 33 OB 167 66 OC 397 00 D 245 00

Calculator Which function is shown on the graph Of x sinx O f x cos x O f x sin x O f x cos x 0 3r

Lacy took out a single payment loan for 610 that charged a 70 fee How much does she have to pay by the time the loan reaches maturity O A 680 O B 70 O C 610 O D 540

b 45 9V 2

Find the value of each variable answers should be in simplest radical form 2 1 45 45 45 3 45 60

A 45 ZASI 5 A 45 8 45 6 b 45 9V 2

45 D X tan 45 N Which statements are true regarding triangle LMN Choose all that apply A tan 45 1 B NM X OC LM x 2 OF LM X 2 2 E NM x 2 45 M

1 A 10 ft 8 ft 2 Statement Criterion B D 6 ft F E 8 ft J A 1 2 Statement Criterion B 201

1 78 2 Statement 45 30 117 G H 25 65 Theorem F 1 2 Statement Theorem

1 2 Statement U 32 52 E S 13 Theorem E Cinturiore 2 Statement R Theorem

70 FT1 1 by B 10 100 S 90 10 G 2 Statement Criterion C 100 70 1 10 3 35 D G M 36 168 1 33 42 L 154 ELK F 196 They are not similar 2 Statement Criterion

Graph the following function over a two period interval Give the period and the amplitude y sin What is the amplitude of the function y sinx Type an integer or a simplified fraction O A 1 5x Which of the following is the correct graph of the function y sin 5x y 25 OB 107 2 Ay 10n O C Ay 10x1 2 X Jox O D Ay X EI

the y 3 cot x OA over a Choose the correct graph below interval SOB O C O D

6 7 8 8 7 6544 98 7 9 8 7 0 5 4 3 2 1 0 P P 5 4 P O J8A6 21 A 12 V axis M al 1 2 3 4 5 y axis M O M 65 N N 10 123 4 5 6 7 7 1316 8 9 N Graph the dilated image of triangle XYZ using a scale factor of 1 5 and 0 0 as the center of dilation 8 9 xaxis X avis x 4 7 x 1 5 x 6 3 1 6 0 x1 5 v 9 of Y Y 2 7 4 x1 5 2 3 6 2 Ax Y Z AXYZ Graph the dilated image of quadrilateral MNOP using a scale factor of 1 3 and the origin as the center of dilation M 3 9 x N 6 0 x 13 3 6 x 3 O P 3 0 x M N 0 P Describe the dilation of quadrilateral MNOP using the origin as the center

Find the graph of the given function y tan x Choose the correct graph below O A Ay EN 3x O B Ay EIN O G O C Ay RIN N

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

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

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

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