Solution of triangles Questions and Answers

Find the area of AABC with side lengths b 9 and c 14 and included angle A 145 Round your answer to the nearest tenth The area of the triangle is about square units

24 6 27 Which of the following trigonometric ratios are correct 20 b X cos 20 cos 20 sin 20 Otan 20 Osin 20 a 1 X tan 20 b X X X b a X X b a

Classify a triangle with each set of side lengths as acute right Acute or obtuse Right Obtuse

17 Find the geometric mean of 6 and 48 Solve for x 18 20 24 x 18 20 30 30 X Solut 19 21 3 200 18 24 X V 15 late 17 18 19 20 21 stoc brif barutosta gofapt lonke l euapomn nosta

Determine whether the triangle with the given side lengths is acute right obtuse or not a triangle 8 3 9 10 9 6 12 19 10 21 28 35 Not a A Acute Right Obtuse Not a A Acute Right Obtuse Not a A Acute Right Obtuse Gina Wilson All Things Algebra LLC 2014 2018

24 A gram 4 B is tange 25 B 12 8 26 B C 15 9 A

Choose the correct answer Show your solution if possible Use the information in the diagram to solve for x The diagram is not to scale A 84 B 219 C 39 D 129 62 Find the value of x A 120 B 60 C 50 D 150 2r 101 1 the to 68 120 In parallelogram ABCD find BC A 25 B 8 C 9 D 17 Find the value of x A 23 B 80 C 86 D 103 63 40 Complete the statement 17 C B

Use the image below to answer the following question Find the value of sin x and cos y What relationship do the ratios of sin x and cos y share 12 5 O

Find the measure of Zx m2x Type a whole number 135 100 X

If AEFG ALMN with a ratio of 2 1 which of the following is true EF FG LM MN EF LM 31

Given two integers a and b we can make a right triangle with these three side lengths 1 a b 2 a 6 3 2ab If this is a right triangle then the Pythagorean theorem should apply In other words a b 2ab a b Prove that all values of a and b make right triangles by showing that the above equation is an identity Period

Find the value of x 45 B x 4 ft 87 40 9 ft C 7 ft P Q 87 40 9 ft R 46 D 23 13 5 ft 15 ft 64 F E Z 13 5 ft 64 Y X 239 4x 1 ft

Question 10 Use the given information to solve the triangle and round answers to the nearest tenth A 61 degrees c 22 inches B Blank 1 degrees a Blank 2 inches C Blank 3 degrees b Blank 4 inches

the value of x Then tell whether the side lengths for X 10 Find the value of x to the nearest tenth

it ket shown Identify his error Given A ABC Prove A is obtuse Statements 1 AABC 2 LA is acute ect proof as Reasons 1 Given 2 Assumption e angle is not the opposite of an obtuse angle the statement in 2 read

Solve the triangle with b 4 c 1 and A 120 degrees Solve the triangle with a 4 b 3 and c 6 Suppose that 500 feet away from a lighthouse you measure the anglo level ground up to the top of

Expand Rewrite as a sum or difference of multiples of logarithms without exponents In x y

Need Help Talk to a Tutor cos 2x 1 cos 2x O 0 1 points Previous Answers SPreCalc6 7 3 016 My Notes Ask Ye Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine as in Example 4 cos x

6 Given the area of Circle Pis 128 cm determine the diameter to the nearest whole number de Area of a circle 128cm a b C d 41 cm 13 cm 20 cm 6 cm 2

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Myra is packing a lunch box to take to school Myra can make 6 kinds of sandwiches and there are 6 kinds of fruit in the house There are 7 flavors of juice boxes in the refrigerator Assuming Myra packs one of each item how many different lunches can she pack lunches

His grandparents Jamie found a box with a surprising number of spare keys Jamie figured that the color of the sticker on each key must indicate what the key was for When Jamie tested the keys he was surprised to find that this was not the case Blue sticker Green sticker Front door of the house Back door of the house 4 3 3 2 What is the probability that a randomly selected key is labeled with a blue sticker or opens the front door of the house Simplify any fractions

9 1 the triangle Round decimal answers to C 14 B 56

80 S STRUCTURE Solve AJKM and ALI K ft M 21 ft ft JK ft m JKM C

Solve the right triangle Round K 8 A 40 M L CO

13 If XT 12 and XZ 21 then TZ Xx T Z TZ

Suppose that tana 3 and 90 a 180 a a Find the exact values of cos and tan 2 2

26 6 4 6 37 42 Show Transcribed Text X ft in

acy is enrolled in Geometry She belleves she would have a higher average in Mrs Sweet s class than in Mr Bell s class Is she correct Explain your answer Lucy s Grades Tests 92 Quizzes 87 Mr Bell Homework 94 Proiects 86 Final Tests 50 Quizzes 20 Homework 5 Proiecte 15 Final Exam 10 Mrs Sweet Tests 45 Quizzes 25 Homework 10 Drainate 5 Final Evennt 450

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The Triangle Inequality Theorem State if the three numbers can be the measures of the sides of a triangle 1 7 5 4 2 3 6 2 3 5 2 4 5 9 6 5 7 4 7 8 9 3 10 8 11 2 15 16 15 6 10 AZTA 17 11 8 4 8 2 8 6 5 8 4 8 11 12 9 10 1 13 13 12 10 18 10 Two sides of a triangle have the following measures Find the range of possible measures for the third side 13 9 5 14 5 8 16 6 9 Date 18 14 11 7 8 Period

What kinds of tests do they give witche 231 Solve for the missing lengths and angles Round your answers to the neare The answer to each problem will match a letter that will allow you to figure or 1 43 15 m 70 2 42 27 28 x

Simplify each of the following expressions Evaluate exactly if possible 1 6 sin bi 12 cos bi 12 Could you evaluate each expression exactly cos tan 1 40 9 tan cot 1 6 7 Solve each trigonometric equation exactly on 0 0 2bi 2 tan 2 theta 2 0 Solve each trigonometric equation exactly on the interval 0 0 2bi 2 sin 2x cot x

7 Tome DETATES Consider the graph shown which depicts transf from year ago billions of dollars Government social bene Government social bene Government social benefits Government social benefits to p 100 90 80 70 60 40 30 20 10 SMIETTIMET 0 20

1 Factor the expression completely 2x 8x 24

2 K A 2 3 sin L cos L O sin J 30 L equal 2 elect all that app

7 Find the EXACT value of the indicated angles and or sides Evaluate trig functions if the inputs are multiples of 30 45 a Find z 35 65 c Find z 110 10 I 7 T 4 m TALETENCY 10 I b Find z and c finding e is newly added 45 d Find 0 3 120 0 9 I 11

Finding Angle Measures Find the measures of the angles labeled i MZEFD 90 0

Work out the missing side x Give your answers to 1 d p or better ABCD is a rectangle ABC is an isosceles triangle with AB AC A B X 73 cm 10 cm 2 B X 50 17 cm cm A D A 3 ABC is a right angled triangle AD is a bisector of angle BAC Angle DAC 16 x CD 16 X 23 cm cm 4 X O B

A plane is 125 mi north and 182 mi east your answer to the nearest tenth of a de

Find tan 0 where is the angle not a doci

2 A radio transmission tower is 230 feet tall How long should a guy wire be if it is to be attached feet from the top and is to make an angle of 24 with the ground Give your answer to the neare tenth of a foot A 251 8 ft B 550 7ft C 565 5 ft D 245 2 ft

Directions Solve for x Round Directions Solve 5 5 X

0 B Trigonometric eriod 4 Doctama R Geometry B by RD Roscie Directions Find the indicate M

Beginning with the Koch curve with a li step 0 D BA

D A jar contains 4 red marbles 7 green marbles and without replacement a green marble and then a re a 0 568

ir coin is tossed three times What is the probability of getting ex 78328 ra 78 1 2 3 8 A B

help video If mNT 68 and mLQJ 188 find m B B N L

appropriate Round approximate answers in radians to four decimal places and approximate answers in degrees to the nearest tenth Write answers using the least possible nonnegative angle measures See Examples 1 5 47 48 tan 0 1 0 49 50 51 52 53 54 55 56 57 58 cos 0 1 0 3 csc x 2 3 0 cot x 3 0 6 sin 0 sin 0 1 3 sin 0 sin 0 2 2 cos x cos x 1 0 4 cos x 1 0 sin cos sin 0 0 tan 0 csc 0 3 csc 0 0 sin x 3 sin x 1 1 tan x tan x 2 5

cos x n 1 yes or no 4 f x 2 Reflection Midline Amplitude Period Frequency Phase shift Vertical Shift