Geometry Questions

The circle below has center D Suppose that mLBDC 128 Find the following B D A C a b m BAC m BC 0 O O

The circle below has center S Suppose that m QR 106 Find the following R Q P a m QPR O b m QSR

population of the Canada P t in millions since January 1 1900 can be approximated by P t 55 3 1 9 8e 0 025127 where t is the number of years since January 1 1900 Population millions Part 0 6 Part 1 of 6 60 50 40 30 20 10 0 0 Canadian Population by Year y P t 150 200 250 300 50 100 Year t 0 represents 1900 a Evaluate P 0 round to the nearest tenth of a million and interpret its meaning in the context of this problem

The populations of two countries are given for January 1 2000 and for January 1 2010 Part 0 3 Part 1 of 3 kt a Write a function of the form P t Poe to model each population P 1 in millions I years after January 1 2000 Round the value of k to five decimal places Country Population in 2000 millions 19 0 Australia Taiwan 22 9 Population in 2010 millions 22 6 23 7 P t Poet P t 1 P t X

Line a intersects two vertices Line b bisects each side it passes through Point P is the center of the rectangle a P Which transformation s must map the rectangle exactly onto itself Choose all that apply Clockwise rotation about P by 180 Counterclockwise rotation about P by 90 Reflection across line b Reflection across line a None of the above

Use the compass and ruler to construct the line parallel to the line through the point P ex X E S U

For each pair of triangles determine whether the Hypotenuse Leg HL Congruence Property can be used to prove that the triangles are congruent If necessary you may learn what the markings on a figure indicate Can the HL Congruence Property be used Can the HL Congruence Property be used a 47 28 m Yes Yes O No O No 28 m b d O Yes Yes O No JD X O No

Find the maximum value of s xy yz xz where x y z 24 The maximum valuo in

Do the figures below have rotational symmetry Point symmetry If a figure has rotational symmetry give the smallest angle of rotation needed for the figure to appear unmoved Rotational symmetry Yes No Angle Point symmetry Yes No O Rotational symmetry Yes No Angle Point symmetry Yes O No X

Use the given information to prove that ARST AUVT Given RST is a right angle ZUVTIS a right angle 1 2 3 4 5 6 U Statement ZRST is a right angle ZUVT is a right angle RST LUVT ST RTS ARST AUVT ST a VT Prove ARST AUFT Reason Given Given Reason 7 Given Vertical Angles Property Reason 2

A vector v has initial point 3 2 and terminal point 6 1 Write v in component form 0 0 X

4 Which of the following statements is TRUE about rectangle ABC A O OAB AD O DE CE O ACAB 6 E 14 Calculato B C

The angles of elevation to an airplane from two points A and B on level ground are 56 and 720 respectively The points A and 8 are 2 1 miles apart and the airplane is east of both points in the same vertical pla a Draw a diagram that represents the problem Show the known quantities on the diagram 56 72 56 AA A4 72 B A 2 1 A 56 B d Find the distance the plane 2 1 x c Find the altitude of the plane Round your answer to two decimal places x mi A 56 b Find the distance between the plane and point B Round your answer to two decimal places X mit 2 1 fore it is directly above point Round your answe 2 1 B 72 rimal places B

Match the equation with the sentence Susanne was hiking down from Mt Whitney She started at 14 500 ft above sea level and descended 375 ft every 30min Kirk was hiking up to Mt Whitney He started at 7545 ft above sea level and ascended to the top 14500 ft after about 8 5 hours of hiking Using an average pace choose the function that describes his elevation relative to the time in hours Jolie was hiking up to Mt Whitney She started at 7545 ft above sea level and ascended to the top 14500 ft after about 10 hours of hiking Using an average pace choose the function that describes her elevation relative to the time in hours Juan was hiking down from Mt Whitney He started at 14 500 ft above sea level and descended 1400 ft every hour Choose Choose E t 70 3 t 14500 E t 818 81 7545 E t 6961 7545 E t 75 6 t 14500 Choose Pedro loves to try new adventures His most recent adventure was jumping out of an airplane His special watch tells him his altitude He set a timer at the moment he opened

Find the measures of angles 1 through 5 in the figure shown m21 m22 m23 m24

The figure shows a 650 foot tower on the side of a hill that forms a 7 angle with the horizontal Find the length of each of the two guy wires that are anchored 70 feet uphill and downhill from the tower s base and extend to the top of the tower

Tutorial Exercise The Cartesian coordinates of a point are given a 7 7 1 Find polar coordinates r 8 of the point where r 0 and 0 0 2 ii Find polar coordinates r 8 of the point where r 0 and 0 0 2 b 5 5 3 i Find polar coordinates r e of the point where r 0 and 0 0 2 ii Find polar coordinates r e of the point where r 0 and 0 0 2

In circle T with the measure of arc SU 92 find m STU T S

ty that the following equation is an identity tan 80 tan 80 tan 40 2 tan 40 To venty the identity start with the more complicated side and transform it to look like the other side Choose the correct transformation and transform the expression a tan 80 tan 80 tan 40 0 Factor out the greatest common factor Apply an even odd identity Apply a cofunction identity

Compute the singular value decomposition for A 1 5 2 5 1 1

Laurel is making a benner shaped ke atrapemid The height of the banner is 3 feet and the hoses are and 5 feet what is the area of the banueet 50 It

Geometric figures in the same plane can be said to relate to each other in several different ways Match the following terms regarding these relationships to their best description Rigid transformations that preserve lengths angle measures parallel lines and distances between points The operation that maps or moves the original figure onto the new figure Uses a line that acts like a mirror between the pre image and the image The operation that uses a fixed point on which to spin the pre image in order to create the new image The relation between two figures that follows this type of notation x a y b Choose Rotation Isometry Translation Transformation Reflection Choose Choose Choose

In Geometry many types of angles are studied Please match the measure of an angle with its name or classification 126 90 39 180 8 0 Choose Straight Null Acute Right Obtuse Choose Choose Choose

15 Find the area of the figure below when the apothem is 8 feet the base is 5 feet and the radius of the circle is 4 feet Answer Apothem Base

Match each figure with a description Descriptions may NOT be used more than once A D R N B E C

E 9 once 12 15 F A Segment EH B Segment EF C Segment HG D ZH K Using the figure above match the segments and angles with theirs most accurate description Some descriptions may be used more than G

Which of the following equations represents all the points in a plane that are equidistant from the ordered pair 7 2 O x 7 4 y 2 y 2 8 2 7 1 where a b y 2 6 O 7 y 2 p 1 where a b

3 Express each of the following as a single trig ratio and then evaluate I 2sin cos I

16 Find the area of the figure below when a 112 r 12 cm and R 18 cm R

A plane is flying with an airspeed of 140 miles per hour and heading of 155 The wind currents are running at 40 miles per hour at 175 clockwise from due north Use vectors to find the true course and ground speed of the plane Round to the nearest whole number True Course Ground Speed miles per hour

57 find the area of each triangle ABC A 30 50 6 13 00 cm C 112 60 Area of triangle bh formula bn bh 2

The indirect proof is unlike the proofs taught during the beginning chapters of geometry Before you can begin an indirect proof it is important to determine the steps that you will follow Please put the steps of the indirect proof in the correct order from beginning to end 2 3 4 5 Choose Reason logically until you reach a contradiction of a known fact Identify the statement that you want to prove is true Obtain statements that logically follow from your assumption Assume temporarily that the statement is false assume the opposite is true Point out that your assumption must be false and the statement must then be true Choose Choose Choose

Solve by tan a sin a sin x 0 2 X Select 6 correct answer s 0 GP 3 5n 3 5x 6 B TU 5

sec x 5 0 2 X If there is no solution write no solution If needed round to the nearest hundredth 2 decimal places If there is more than one answer separate them with a comma with no spac between symbols for example 1 23 9 87

Solve the equations for solutions in the interval 0 360 Use a calculator for Problem 12 give the answer to the nearest hundredth of a degree 9 Sin x 1 3 10 Sec x 2Sec x 0 11 2cos x root 3 0 In degrees just verifying I am doing this correctly Trigonc Sub subj Sear

A tourist is going to ride a cable car up a mountain near Lake Tahoe He knows that the elevation at the base of the mountain is 4530 feet and that the top of the mountain reaches 6976 feet If the angle of ascent for the cable car line is 55 degrees 33 20 how far does the cable car travel Round your answer to the nearest foot

2 Which of the following is NOT true about how f x arctan 3 x 5 n 3 x 5 8 compares with its parent function O Vertically translated 8 units down Reflection across the y axis O Horizontally stretched by a factor of 3 Horizontally translated 5 units right

Between 12 00 PM and 1 00 PM cars arrive at a local bank s drive thru at the rate of 4 cars per hour 0 07 car per minute The formula below from probability can be used to determine the probability that a car will arrive withir minutes of 12 00 PM Use this information to answer the questions given below in parts a e F t 1 e 0 07t a What is the probability that a car will arrive within 20 minutes of 12 00 PM that is before 12 20 PM

Identify the points of intersection and sketch the graph of the solution to the system of inequalities y 2x y 2 3

Use the Pythagorean Theorem to determine the missing side of the following right triangle X 48 50

2 Given DV 1 TU Is ADVT ADVU T D V U

Using the Three Dimensional Coordinate System In Exercises 13 14 15 16 17 18 19 20 21 22 23 and 24 determine the location of a point x y z that satisfies the condition s 13 z 1

Classifying a Triangle In Exercises 29 30 31 and 32 find the lengths of the sides of the triangle with the indicated vertices and determine whether the triangle is a right triangle an isosceles triangle or neither 29 0 0 4 2 6 7 6 4 8 Answer 7 7 5 14 Right triangle 30 3 4 1 0 6 2 3 5 6 31 1 0 2 1 5 2 3 1 1 Answer 41 41 14 Isosceles triangle

15 x 3 Answer Three units behind the yz plane 16 z 5 17 y 0 Answer To the left of the xz plane

Which of the following terms is used to describe the organization s defined goal Mission

Karamjit makes sure that every employee is recognized on their birthday The staff will gather for a catered lunch During the lunch Karamjit will recognize the employee and praise their accomplishments to everyone This is an example of Responsible Leadership Story Ceremony Ritual Coalition

Finding the Equation of a Sphere In Exercises 43 44 45 and 46 complete the square to wri the equation of the sphere in standard form Find the center and radius 43 x y 2 2x 6y 8z 1 0 Answer x 1 y 3 z 4 25 Center 1 3 4 Radius 5

Question 14 Quelle est la mesure de la ligne orange qui se trouve dans ce prisme base carr e R ponse 12 m 5 m

Ekshitha leads an organization where the culture is family like and emphasizes mentoring nurturing and doing things together What type of culture is Ekshitha promoting Adhocracy Clan Hierarchy Market

Organizational culture is important as it integrates members so that they know how to relate to one another and helps the organization adapt to the external environment True False