Geometry Questions

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

When organizations fail to successfully respond to the needs or concerns of the employees a sub culture will develop which may evolve into a counter culture True False

Question 7 Find the coordinates of the point that divides the line segment joining the points 3 3 and 8 8 in the ratio 1 4 O 5 5 O 4 4 O 6 6 Points 3 O 7 7

Question 6 Points 4 In what ratio does the point 2 4 divide the line joining the points 6 8 and 2 0 O 1 1 O 1 2 O 2 1 2 3

Question 10 Points 2 Find the point dividing the line segment joining the points 0 0 and 7 7 in the ratio 2 5 O 2 2 O 2 2 O 2 2 O 2 2

son Posttest Question 1 Points 3 Find the coordinates of the point which divides the line segment joining the points 1 3 and 8 4 in the ratio 4 3 O 5 1 O 1 5 O 5 1 O 1 5

Find the midpoint of the line segment joining the points 6 2 and 10 2 O 0 1 O 8 3 O 8 0 O 5 2

on Posttest Question 8 Points 2 Find the midpoint between the two points P 12 6 and Q 4 2 O 6 2 8 2 O 8 4 O 2 4 RE R

esson Postt Question 3 Points 2 Find the midpoint of the line segment joining the points 2 1 and 9 2 0 1 0 2 3 O 11 2 0 2 2 3

Lesson Posttest Question 4 Points 2 The origin is the midpoint of a line segment with one end point 6 6 Find the other endpoint O 6 6 O 6 6 O 6 6 O 0 6

Question 6 Points 3 Find the equation of a line perpendicular to 8x 2y 4 and passes through the point 4 3 O y 4 x 16 Oy 4x 8 O y 4 x 2 O y 4 X 4 R

Question 2 Find the point that divides the line segment AB whose endpoints are 1 2 and 3 4 in the ratio 1 2 8 O 5 3 Points 2 O 5 8

A B H A Segment EH B Segment EF C Segment HG D ZH E ZK C 12 Using the figure above match the segments and angles with theirs most accurate description Some descriptions may be used more than once D 15 K G Choose Leg of a trapezoid Base angle of a trapezoid Angle of a parallelogram Base of a trapezoid Side of a parallelogram Choose Choose

X B 2 5 A 1 1 C 4 2 D 2 2 E 8 4 y In the xy plane above if point F not shown is placed so that triangle ABC is similar to triangle DFE which of the following could be the coordinates of the point F A 3 6 B 4 10 C 6 7

8 State the hypotheses for the multiple linear regression test Ho B B Bk 0 H at least one B is not 0 Using the accompanying Home Market Value data develop a multiple linear regression model for estimating the market value as a function of both the age and size of the house State the model and explain R2 Significance F and p values with an alpha of 0 05 Click the icon to view the Home Market Value data Points 0 63 of 5 State the model for predicting MarketValue as a function of Age and Size where Age is the age of the house and Size is the size of the house in square feet MarketValue 37 471 539 21 584 Age 31 317 Size Type integers or decimals rounded to three decimal places as needed The value of R2 indicates that indicates that of the variation in the Type integers or decimals rounded to three decimal places as I is explained by Save independent variables dependent variable 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 31 34 30 33 34 33 33 35 30 33 33 32 34 31 33 35 34 32 31 33 27 26 27 29 27 27 28 27 27 29 27 26 26 29 26 29 29 28 27 27 26 1822 1911 1873 1775 1926 2095 1719 1930 1775 1649 1902 1574 1767 2284 2475 1602 2179 1689 1692 1699 1507 1461 1639 1652 1460 1496 1525 1750 1547 1446 1476 1456 1424 1566 1691 1600 1860 1524 1546 1595 1698 88393 109546 95240 94024 102765 104103 89395 99587 91901 85292 102626 93173 86919 109475 112782 83189 113072 95140 82756 85589 80433 77312 77934 87887 79055 80074 90368 89532 81663 87724 86582 91652 78861 87398 91541 82412 87520 84458 99015 91521 94073

Use fundamental identities to find the values of the trigonometric functions for the given condition sec 0 6 and tan 0 0 sin 0 cos 0 tan 0 cote sec 0 CSC 0

Determine the measure of ZDAC Claim m DAC 18 degrees Reason Angle DAC is an interior angle formed by two tangents AD and AC so the interior angle has a measure equal to half the difference of the arcs AD and AC intercepts 70 40 18 O Claim m DAC 15 degrees Reason Angle DAC is an interior angle formed by two tangents AD and AC so the interior angle has a measure equal to half the difference of the arcs AD and AC intercepts 70 40 Claim m DAC 18 degrees Reason Angle DAC is an exterior angle formed by two secants AD and AC so the exterior angle has a measure equal to half the difference of the arcs AD and AC intercepts 70 40 18 Claim m DAC 15 degrees Reason Angle DAC is an exterior angle formed by two secants AD and AC so the exterior angle has a measure equal to half the difference of the arcs AD and AC intercepts 70 40 15

Given the graph of the following degree 4 polynomial function find all of the zeros and their multiplicities 7 6 5 4 3 4322655 1234567 H 2 34567