Geometry Questions

Which of the following characteristics does not describe a stock O A Has a maturity date B No guarantee you will get your money back C Money earned from capital gains D Certificate of ownership issued

In circle G mHF 120 Solve for a if m HIF 4x 28 If necessary round your answer to the nearest tent

Maggie bought 20 shares of Google at the close price of 472 68 She bought 20 more shares a year later at the price of 491 32 Two years later she sold all of her shares at the price 512 25 If her broker charges 50 for each transaction how much money will Maggie have after selling her shares A 20 490 00 O B 20 530 00 O C 20 440 00 D 19 590 00

Suppose you own 75 shares of Microsoft which pays a dividend of 0 13 per share per year How much will you receive in dividends over 5 years assuming the dividends stay the same and you buy no more stock A 9 75 OB 48 75 OC 29 25 D 75 00

7 r 60 8 2 30 8 30 y X 6 60 9 30 X y 60 5

60 11 30 12 15

7 60 8 2 30 8 30 y 6 60 9 30 X y 60 5

Find the value of each variable answers should be in simplest radical form 1 30 40 609 2 60 8 3 30 3 300 10 60

4 30 y 609 12 5 y 60 X 7 3 30 6 2 3 60 X y 30

ng the given diagram solve for x B i U C AAE E A 25 20 44

center radius diameter secant tangent chord semicircle major arc minor arc Name the circle Circle DRAG DROP THE ANSWER HBD E HBD HCF II H HDG HF AH HF CB JB CD HCF HDG JB A 11 11 11 HD CD

You are given the cecumberence of the circle and the measure of the central angle ACE idength of A cimerena 56 reel mCACE 45 The langths of are AB is feat Submit t

Use the labeled triangles to state the Pythagorean Theorem 1 2 M 09 C Simplify the radical 4 12 413 253 7 18 N mb bo 5 45 9 5 355 Date 8 50 C 3 6 20 9 44 Find the unknown side length Simplify answers that are radicals Period G a

Find the unknown side length Simplify answers that are radicals 10 11 1 2 13 8 9 137 X 12 15 9 x 15 C 1 x 14 13 C 5 a 10 X 4 102 x 16 100 15 8 C 8

H center rodkis diameter secant tangent chord semiorde major arc minor arc E Name the circle Orde DRAG DRD THE ANSWER G HF 5B

sin in 3T 4 3 372 Simplify your answer Type an exact answer using radicals as needed Rationalize all denomin

In the circle below the measure of arc QT is 50 and the measure of angle P is 55 What is the measure of arc RS A 175 B 105 C160 D 135

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 degrees

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

1 0751 1 0751 pe an integer or decimal rounded to four decimal places as nee

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

1 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the ESC

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

Use the figure below to answer the following questions a Determine the volume Round your answer to 2 decimal places Number in b Determine the surface area Round your answer to 2 decimal places Number in 166 in 237 in 148 in

Solve each of the following problems In each case be sure to make a diagram of the situation with all the given information labeled 1 tsosceles Triangle The two equal sides of an isosceles triangle are each 42 centimeters If the base measures 30 centimeters find the height and the measure of the two equal angles Round your answer to the nearest tenth 2 Equilateral Triangle An equilateral triangle one with all sides the same length has an altitude of 4 3 inches Find the length of the sides 3 Length of an Escalator How long should an escalator be if it is to make an angle of 33 with the floor and carry people a vertical distance of 21 feet between floors Round to the nearest tenth 4 Height of a Hill A road up a hill makes an angle of 5 with the horizontal If the road from the bottom of the hill to the top of the hill is 2 5 miles long how high is the hill 5 Circus Tent A rope from the top of a circus tent pole is 72 5 feet long and is anchored to the ground 43 2 feet from the bottom of the pole What angle does the rope make with the pole Give your answer to the nearest tenth of

Solve each of the following problems In each case be sure to make a diagram of the situation with all the given information labeled 1 Isosceles Triangle The two equal sides of an isosceles triangle are each 42 centimeters If the base measures 30 centimeters find the height and the measure of the two equal angles Round your answer to the nearest tenth 2 Equilateral Triangle An equilateral triangle one with all sides the same length has an altitude of 4 3 inches Find the length of the sides 3 Length of an Escalator How long should an escalator be if it is to make an angle of 33 with the floor and carry people a vertical distance of 21 feet between floors Round to the nearest tenth 4 Height of a Hill A road up a hill makes an angle of 5 with the horizontal If the road from the bottom of the hill to the top of the hill is 2 5 miles long how high is the hill 5 Circus Tent A rope from the top of a circus tent pole is 72 5 feet long and is anchored to the ground 43 2 feet from the bottom of the pole What angle does the rope make with the pole Give your answer to the nearest tenth of a degree 6 Leaning Ladder A ladder is leaning against the top of a wall that is 7 0 feet high If the bottom of the ladder is 4 5 feet from the wall what is the angle between the ladder and the wall Give your answer to the nearest tenth of a degree 7 Angle of Elevation If a flagpole that is 73 feet tall casts a shadow 51 feet long what is the angle of elevation of the sun Give your answer to the nearest

3 Find exact values of the six trigonometric functions for the angle by hand Do not use a calculator 4 sin 3 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

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

9 For a certain angle in the first quadrant it is true that sin cos 0 Which of the following statement s is guaranteed to be true 1 tan cot 0 II csc sec 0 III 0 4 A I only B II only C I and III only D I II and III

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

What is the missing angle in radians Verify the following identities 1 CSCX tan T 2 secx sin x tan x csc x 2 2 tan x CSC CSCX cos x cot x Bec x

Even f x f x Symmetric Identities Even Odd y sinx sinx is sin x A A A A A y cs cx U V A 1 Fev Odd f x f x CSCX is csc x Verify the following identities 1 sinxcsd x 1 y cOSA A A COSX is cos x y secx W ALA secx is sed x 2 cod y tanx tanx is tan x y cotx cotx is cot x

2 9 4 0 1 0 1 m 0 x 4 x0 3 1 4 0 4 1 60 4 and 1 8 X 12 5 6 Write in slope intercept form y x 2 4 and 1 3 X Ya X Y 7X2 y 8 4 m 2 c 10 Y 2m 4 C 8 X 1 and y 3 9 3 m 1 c m 3 tc 23 44c My 3 C MEI 261 4 c 2 4 C Y mX C 13 2 Find the slope 2 points Use the first point and slope to go into point slope form 1 pt Distribute 2 points Isolate y 2 points Final Answer 1 point Find the slope 2 points Use the first point and slope to go into point slope form 1 pt Distribute 2 points Isolate y 2 points Final Answer 1 point

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

Find the surface area and volume of each figure to the nearest tenth 8 m

Perform the following calculations and express the result in the correct units and number of significant figu 47 0 m 2 2 S 1 2 140 cm x 35 cm 5 88 kg 200 m 3 4 0 00 50 m x 0 042 m 300 3 L 180 s 5 6 33 00 cm x 2 70 cm 35 000 kJ 0 250 min 8 22 0 m 5 28 m 15 5 m 7 9 0 042 kg 1 229 kg 0 502 kg 10 170 cm 3 5 cm 28 cm

Which expression gives the surface area of a sphere with radius r OA 4 OB 4tr O c O D

What is the volume of the sphere below O A units 16 3 O B 250 units 48 3 D units C units b

The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units O A True B False