2D Geometry Questions and Answers

rectangular park measures 3 mi by 2 mi What is the area of the park in lometers if 1 mi equals 1 6 km elect one a 9 6 km O b 15 36 km 8 km O c O d 3 75 km

Get a similar question You can retry this question below The graph of f x is shown it goes through the point 2 1 4 3 10 2 1 10 1 2 4 S 6 Provide two different graph transformations that produce the curve as follows 1 The graph can be obtained from the curve y log2 x by a

twice the difference of a number and 8 is at least 22

A bridge is built across a small lake from a gazebo to a dock see figure The bearing from the gazebo to the dock is S 41 W From a tree x 110 meters from gazebo the bearings to the gazebo and the dock are S 74 E and S 28 E respectively Find the distance from the gazebo to the dock Round your answer to th nearest whole number m Tree TO TA 749 28 x m Dock 41 W o S Gazebo E G

ne int 10 9 8 7 6 5 4 G R 3 2 Y 2 K 65 1 fi 10 9 8 7 9 5 4 3 2 3 X 4 4 2 3 4 5 9 7 8 9 10

Use tragsformations of the absolute value function f x x to graph the function h x x 5 What transformations are needed in order to obtain the graph of h x from the graph of f x Select all that apply A Reflection about the x axis B Horizontal shift C Horizontal stretch shrink D Reflection about the y axis E Vertical shift F Vertical stretch shrink Use the graphing tool to graph the equation Click to enlarge graph CED 10 R 5 42 404 18 6 4 2 2 44

6 Use the Unit Circle and the Reciprocal and Quotient Identities to evaluate the following in exact form 57 a csc 135 b sec c CSC d tan 240 1 pt each

Write the equation for the graphed function y X 6 4 2 y 1 6 4 2 2 4 6 2 4 6

Find the measure of one interior angle in the regular polygon with six sides a side length of 8 in and an apothem length of 6 92in

Find the value of each variable 10 120 85 30 I 53 11 105 117 115 100 12 129 130 116 135 120 125 3 xo

6 y 110 2 I 100 870 17 89 50 18 80 62 950 t 53

21 m21 m 2 m23 112 2 3 because because because

Sum of Interior 2 s One Interior 2 Sum of Exterior 2 s One Exterior 2 I Sum of Interior s One Interior 2 Sum of Exterior 2 s One Exterior 2

Sum of Interior 2 s One Interior 2 Sum of Exterior 2 s Exterior

Given the two concentric circles with center J below HJ 14 5 Find the area of the shaded region Round your answer to the nearest tenth if necessary H 14 5 6 5 con

6 The circle shown has a radius of 15 in ZAOB intercepts an arc with a length of 37 in What is the mZAOB in degrees O A B

In the diagram below quadrilateral QRST is inscribed in circle U Solve for x and y x Q 71 y U x 58 T 69 R 2y 33 S

Watch help video If mPGV 211 and mIC 45 find m IFC I F O P G Answer m IFC V O

7 In circle X YX 4 inches and mzYXZ 75 Determine the arc length of YZ Y in terms of N X

8 Find the radius of circle R a 4 A 20T 160 R

4 The value of x is www The measure of LYWZ is 5x 10 The measure of ZZWX is 20 Circle the expression or measurements that make each statement true When Page W 2 of 6 Z X ZOOM The measure of ZYWZ is

XAY 2001 Meetings Part 1 of 2 25 ft Width Rich LTI a Determine the height of the flagpole Round to the nearest foot The height of the flagpole is approximately 37 ft

astic Student SRI College C an acute angle such tha

hine which of the two acute angles 6 13 18 A 1 5

hine which of the two acute angles h 11 5 C 11

A Part 1 of 6 Part 2 of 6 BC 37 C c 0 21 67 B C

de College Ho Zoom Meetings Rich LTI Question 7 of 10 1 point Attempt 1 of Unlimited View question in a Use the diagram to find the following bearings Part 0 4 Part 1 of 4 B 204 A 14 39 www a C

point m Attempt 1 of Unlimited Measurements taken 25 ft from the base of a flagpole sh angle of elevation to the bottom of the flag to be 51 8 View questi Width

Graph the circle x 10 Use the points to adjust the graph Moving the center will move the entire figure 9 8 7 6 5 4 3 2 10 9 8 7 6 5 4 3 2 3 4 5 y 6 7 8 y 2 3 4 5 6 7 10 8 9 10

and B 3 4 wri 4 Forces G and A are acting on an object so that G the direction angle of G and OH is the direction angle If is the resultant force on the object determine the You may choose to use the grid to help you Show decimal places

Page 1 1 4 Z 10 2 5 8 00 3 6 9 W X If mVX 73

Aaliyah Lovett Attempt 1 Page 1 1 4 7 10 N 2 3 5 00 8 6 9 G H If m GHI measure of

2 5 1 8 3 6 11 9 Question 9 1 point 0 S P R If PQ 13 and

x Determine the measure of ZFGC x x x x A 22 B 120 C 140 D 70 4x E 110 D 59 A F G 81 C

3 112 100 52 what is the value of x Enter the answer in the box

Using only the marking in the diagram what theorem can be used to show that the two triangles are congruent x A SSS 4x B AAS C B ASA C E F

Question 4 25 points Law of Sines Two cargo ships spot a signal fire on a small island The captains know they are 140 feet away from each other and using angle measuring device they can determine the angle from each of their ship to the signal fire The angle at ship A is 82 and the angle at ship B is 78 How far is it from Ship B to the signal fire at point C 48 9 feet 400 4 feet 405 3 feet 673 4 feet 82 78 B

Question 2 25 points Law of Sines Determine the approximate value of x 80 2 045 3 264 6 736 Not Enough Information Question 3 25 points Law of Sines Determine the approximate measure of segment g 116 2 37 cm 40 8 cm 9 24

Graph the linear equation using the slope a y 3x 2

OSHCHIL 1 2 refer to the vectors u 1 Graph and label on the g

Question 5 20 points Basic Trigonome A person at a local airport spotted an oinilane at an ande of depression of 22 on the tarmar If the person saw the plane from the airport tower that 120 ts high how far away is the plane away from the airport tower 46 89 ft 50 94 ft 282 70 ft 307 12 ft 4 Submit Qui Dof 5 questions saved

Basic Trigonometry Which expression represent tan 9 for the triangle shown a O O O O 00 8 114 100 OF 20 points Question 2 20 points Basic Trigonometry Approximate the unknown side x in the diagram 3 356

In the exercises find the value of x Then tell whether the side lengths form a Pythagorean triple 1 13 X 6 2 30 X 16 In the following exercises verify that the segment lengths form a triangle Is the triangle acute right or obtuse 3 5 12 and 13 4 2 10 and 11 5 8 4 and 6

ind the translation rule and the scale factor of the dilation that transforms Ol to Ol x x 4x x A x y x 8 y 7 scale factor 3 B x y x 8 y 7 scale factor 2 C D x y x 7 y 8 scale factor 3 x y x 7 y 8 scale factor 2 10 8 6 4 104 2 0 10 r 10

x 4x Various dilations of square A are shown Which square was obtained by dilating square A by the scale factor of 3 A B C D Square D Square C Square E D Square B C A B E

For questions 9 15 give each answer as a fraction in simplest form 9 Natalie randomly answered the last three true or false questions on her math quiz What is the probability that she got at least two correct probability of getting at least two is 1 2 1 2 x 1 2 1 4 0 25 11 The probability of winning a coupon at the grocery store checkout is 2 25 What is the probability of not winning the probability of winning 2 25 the probability of not winning 1 2 25 23 25 Instrument 14 8 Sport 3 A group of students were asked if they play a sport or play an instrument The results are shown in the Venn diagram below If one of these students is chosen at random find each probability a P instrument b P does not play a sport 24 50 18 Counting Outcomes 22 50 c P both 12 10 Two dice are rolled What is the prob that the sum on the two dice is less th 0 1 36 2 36 3 36 4 36 10 36 12 A number from 1 30 is chosen at random What is the probability that the number is not a prime number non prime 1 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26 2 28 30 total 20 p not prime 20 30 2 3 0 667

b Draw a curve y f x given the sign chart of its 2nd derivative of y 5 Use derivatives to find approximate changes in geometric measurements For all the formulas below be able to find the differential of one variable with respect to another variable and find the rate of changes at given specified values Perimeter and Area of Plane Figures Triangle Rectangle P 2 2 Parallelogram PA333 Trapezoid Postboced Circle C 2xr Amar Volume and Surface Area of Solid Figures Rectangular Prim V luk 5 2 2 2 Right Circular Cylinder Vwar k S 2 2 Sphere V Smar Right Circular Con Swar 7 For the circle and sphere 1 a Find dC in term of dr What is dC if dr 1cm b Express the radius r in terms of the circumference C Find dr in terms of dC Find dr if dC 2 cm Ans a dC 2ndr dC 2 cm if dr 1 cm b r C 2n dr dC 2n dr 1 n cm

6 POINTS EACH 7 AB 2422 CB 2 122 8 AB 9 AB CB 02 CB 10 AC CB 11 AC AB 12 AB CB 13 AC 14 AC CB CB AC 5 8 AC 14 AB 15 CB 2 A 45 AC 3 7 AC 6 2 48 3 CH AB 3 2 AB 4 2 46 59 B 5852 18 5 4 2 1182 72 2CB 2 712 AB 3 2 MB ACC 602 CB 622

1 5 6 How many times does sin x 0 5 between x 630 and x 630 C 7 d 8

Let s Exercise A 10 meter light post cast a shadow of 5 meters when a tower casts a shadow of is meters What is the height of the tower A tree casts a 12 feet shadow At the same time a 10tt flagpole carto a 6 teet shadow how high ie thetree