Geometry Questions

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 with the horizontal Find the height of the hill

A 14 foot ladder makes a 62 angle with the ground To the nearest foot how far up the house does the ladder reach

A boy flying a kite lets out 300 feet of string which makes an angle of 38 with the ground Assuming that the string is straight how high above the ground is the kite

A A 12 foot slide is attached to a swing set The slide makes a 65 angle with the swing set What is the height of the top of the slide

31 7 X load a onto a 49

Michelle s house is 22 miles due north of Jan s house and 30 northeast of Richard s house Richard s house is due east of Jan s house How far is it from Michelle s house to Richard s house

63 40 zaight roge a top of a h 2300 feet lond in and

A ramp is used to load a 4 wheeler onto a truck bed that is 3 feet above the ground The angle that the ramp makes with the ground is 32 What is the horizontal distance covered by the ramp Round to the nearest hundredth

4 hh th 67 12 orizontal Fin howght of the

2 or is If hard s 6 at the ramp 25 groun Wh is the ho the ramp Ro the nearest

A4 h 7 12 Assumin ving is hid 23

A2 set 6 Richard s ue east house Ho from Mich house to house 65

A1 oot s set Le 410

Use the figure to determine the radian measure of angle 0 0

How long is an arc intercepted by the given central angle in a circle of radius 12 04 mi 120 The length of the intercepted arc is approximately Round to the nearest hundredth mi

etch the angle in standard position and draw an arrow representing the correct amount of rotation Find the easure of two other angles one positive and one negative that are coterminal with the given angle and closer to the en angle than any other coterminal angle Give the quadrant of the angle if applicable 101 DA 0 101 B 0 101 x he least positive coterminal angle is 461 Simplify your answer Type an integer or a fraction negative coterminal angle is o 5 O C 101 0 Ly

Find the measure in degrees not equal to the given measure of the least positive angle that is coterminal with A A 214 The measure of the least positive coterminal angle is Simplify your answer

onvert the following degree measure to radian measure 15 315 radians Simplify your answer Type an integer or a fraction

Give an expression that generates all angles coterminal with the given angle 360 0 The correct expression is 360 Type an equation using n as the variable

What is the name of the monetary value that is printed on the front of the bond O A Liquidity value O B Bond value C Face value

Brian has a 500 bond with a 6 5 coupon The yield of the bond is 6 8 What is the bid price for the bond OA 478 00 OB 468 00 OC 490 00 D 482 00

Suppose you purchase a 1000 bond with a 4 coupon What is the periodic interest rate of this bond O A 1 B 4 O C 0 2 D 2

5 3 Find the distance between each pair points necessary 1 4 4 4 4 2 2 13 3 5 d 3 1 5 3 4 4 8 2 8 4

What is the name of the interest payments that a bondholder receives for purchasing a bond O A Annuity OB Tax deferral C Coupon

Monica has a 1000 bond with a 5 5 coupon Monica purchased this bond for 1025 What is the yield of this new bond OA 5 5 OB 5 4 O C 5 6 OD 5

Nolan has a bond with a 6 1 yield a bid price of 475 and a face value of 500 What is the original coupon rate of this bond OA 6 1 OB 6 C 5 5 D 5 8

What is the name of a loan that is issued in return for the promise of being paid back the full amount plus the periodic interest A Bond O B Annuity O C CD

Ivan bought a 1000 bond with a 4 5 coupon that matures in 30 years What are Ivan s total earnings for this bond when it reaches its maturity date OA 900 00 OB 135 00 OC 1350 00 D 450 00

Solve by completing the square p 10p 1 Write your answers as integers proper or improper fractions in simplest form or decimal rounded to the nearest hundredth or p

1 2 y 14 7 y 15 X

Find the geometric mean of each pair of numbers Round answer to nearest tenth 1 32 and 8 2 4 and 16 3 11 and 7

10 3 11 4 X 12 12 X 5 10

Find the values of the variables Round answer to nearest tenth 7 8 9 Xx 3 12 9 X 6 8

4 2 and 22 5 10 and 20 6 30 and 6

What type of solutions does this equation have s 27 two imaginary solutions no solutions two real solutions

9 9 9 0 Write your answers as integers or as proper or improper fractions in simplest form q or q

Write your answer in simplified rationalized form U M or u

v 45 Write your answer in simplified rationalized form V 0 or v

What type of solutions does this equation have q 4 one real solution two imaginary solutions no solutions two JETAR

What is the length of AC C B R4 8 O 19 O 18 O 17 O 16 Q 15 P A

Find the length of segment x 6 12 4 O X ONLY TYPE THE VALUE OF X

Mario created a circular mosaic pattern with a central angle cutout which will be blank Approximately how many square inches of space are blank O 1 57 O 2 50 4 71 9 42

What is the value of x A 84 140 04x C ONLY TYPE THE NUMERICAL VALUE

c A 210 O 35 60 mm B Find the length of the arc AB in terms of O 70 T O 220 T O 2100 T

What is the measure of the angle x x A 80 B ONLY TYPE THE NUMERICAL VALUE

Find the area of the shaded region shown in the graph XX Ay 12 y 12 sin x y 12 cos x I 2 Q

2 Kiran is flying a kite He gets tired so he stakes the kite into the ground The kite is on a string that is 18 feet long and makes a 30 degree angle with the ground How high is the kite 18 30 3 Triangle ABC has a right angle at C Select all measurements which would mean it has a hypotenuse with a length of 10 units A Angle A is 20 degrees BC is 2 units B AC is 7 units BC is 3 units C Angle B is 50 degrees BC is 4 units D Angle A is 30 degrees BC is 5 units E AC is 8 units BC is 6 units B A

O a If the angle between them is 90 b If the angle between them is 0 c If the angle between them is 45 d If the vectors have the same magnitude If a 2 6 6 and b 3 2 7 find a b Your Answer Answer Which statement best describes the result of the cross product a It gives the magnitude of the projection of one vector onto another b It defines a vector perpendicular to both given vectors c The cross product gives a vector parallel to both given vectors O d It is the division of one vector by another If A 3 2 9 and B 4 7 2 are two points in 3 space then find the vector AB a b AB 7 5 71 d AB 1 9 11 1 AB 1 12 14 18 AB 17 5 71 The dot product represents a The magnitude of the projection of one vector onto another b A vector perpendicular to both given vectors c A vector parallel to both given vectors d The division of one vector by another Ifp 7 2 5 1 q a P q 112 3 b P q 12 1 find find p q

Sy 10 should be typed in as 2x 5y 10 2 No vector symbols are needed in your answers For example 2 3V would be typed as 2u 3v 3 Other common symbols include The x multiplication or cross product symbol which should be typed as asterisk For example u x 5V would be typed as u 5v The period symbol can be used to denote the dot product Question 1 1 point For which of the following conditions will the dot product of two vectors be zero a The angle between them is 90 b The angle between them is 0 c The angle between them is 180 d The vectors have the same magnitude Given a 23 cm b 8 cm and the angle between the two vectors when 23 cm 16 placed tail to tail is 63 Find a x b axb Round your answer to the nearest tenth 1 decimal place Your Answer Answer The diagram above shows a vector that can be described as a 3 1 b 5 4 c 2 3 d 5 2 For which of the following conditions will the cross product of two vectors be zero a If the angle between them is 90 b If the angle between them is 0 c If the angle between them is 45

Find the value of a and b Angle XQR is 180 1 2 3 5 X 7a 135 107 5b 87 la 91 16 20 M 11a 174 121 4b M lb 91 4a 117 M 40 5b 75 L R 77 4a 91 101 R R 102 3a X 3a 134 109 5b 222 11a 118 5b 9a 185 4b 84 98 3a 142 3a LS 91 3b Ko 2b 48 149 5a M M M 70 3b R R