Geometry Questions

Click here to watch the video Solve the triangle ABC if the triangle exists B 35 12 a 39 7 b 28 8 CAR Select the correct choice below and fill in the answer boxes within the choice OA There is only 1 possible solution for the triangle The measurements for the remaining angles A and C and side c are as follows mZA mZC The length of side c Simplify your answer Round to the nearest degree as needed Round to the nearest minute as needed Round to the nearest tenth as needed OB There are 2 possible solutions for the triangle The measurements for the solution with the longer mZA mZC Simplify your answer Round to the nearest degree as needed Round to the nearest minute as needed The measurements for the solution with the shorter mZA mZc Simplify your answer Round to the nearest degree as needed Round to the nearest minute as needed side care as follows The length of side c Round to the nearest tenth as needed side c are as follows The length of side c Round to the nearest tenth as needed

TT VE X Using the sketch pad trace the vertical asymptotes in green Give the equation of each vertical asymptote and give the corresponding factor that will appear in the rational function smaller vertical asymptote odd or even power factor larger vertical asymptote odd or even power factor Should these factors vertical asymptotes appear in the numerator or denominator of the function

3 Find the coordinates of the centroids of the given figure Assume the region is covered by a thin flat plate The region bounded by y x x 2 and the x axis

ACCVIV clity to record the Description Common Shares Contributed Surplus Retained Earnings Cash COMING SHIGES Earnings Per Share Revenue Debt to Equity Ratio Debit 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

ACCVIV clity to record the Description Common Shares Contributed Surplus Retained Earnings Cash COMING SHIGES Earnings Per Share Revenue Debt to Equity Ratio Debit 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

ACCVIV clity to record the Description Common Shares Contributed Surplus Retained Earnings Cash COMING SHIGES Earnings Per Share Revenue Debt to Equity Ratio Debit 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

ACCVIV clity to record the Description Common Shares Contributed Surplus Retained Earnings Cash COMING SHIGES Earnings Per Share Revenue Debt to Equity Ratio Debit 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

On a baseball diamond a square the bases are 90 ft apart T S ft P H 90 Use the Law of Sines to find the distance from home plate to second base in feet Round your answer to one d place

Two fire lookout towers at points A and B are 3 mi apart Find the distances from points A and B to a fire at point Cif LABC is 76 51 and BAC is 85 38 Round to the nearest tenth of a mile The distance AC is approximately mi and the distance BC is approximately mi

Ana Perez is the plant manager of Travel Free s Indiana plant The Camper and Trailer operating departments manufacture products and have their own managers The Office department which Perez also manages provides services equally to the two operating departments Each performance report includes only those costs that a particular operating department manager can control direct materials direct labor supplies used and utilities The plant manager is responsible for the department managers salaries building rent office salaries other than her own and other office costs plus all costs controlled by the two operating department managers The annual departmental budgets and actual costs for the two operating departments follow The Office department s budgeted and actual costs follow Required Prepare responsibility accounting performance reports like those in costs controlled by the following 1 Manager of Camper department 2 Manager of Trailer department 3 Manager of Indiana plant For Year Ended December 31 Plant manager salary Other office salaries Other office costs Totals expand button Transcribed Image Text For Year Ended December 31 Plant manager salary Other office salaries Other office costs Totals Budgeted 80 000 32 500 25 000 137 500 Actual 82 000 30 100 23 000 135 100 For Year Ended December 31 Direct materials Direct labor Department manager salaries Supplies used Utilities Budgeted 80 000 32 500 25 000 137 500 Budgeted 43 000 3 000 3 600 5 700 68 750 Actual 52 000 9 000 5 400 9 300 68 750 82 000 30 100 23 000 135 100 Campers Trailers Campers 195 000 275 000 194 200 104 000 205 000 106 600 44 000 3 700 3 300 5 000 5 300 8 700 67 550 67 550 423 050 624 450 424 650 622 950 Actual Trallers 273 200 206 400 53 500 8 600 Building rent Office department costs Totals expand button Transcribed Image Text For Year Ended December 31 Direct materials Direct labor Department manager salaries Supplies used Utilities Building rent Office department costs Totals Budgeted Actual Campers Trailers 195 000 275 000 104 000 205 000 106 600 43 000 52 000 44 000 53 500 3 000 9 000 3 700 8 600 3 600 5 400 3 300 5 000 5 700 9 300 5 300 8 700 68 750 68 750 67 550 67 550 423 050 624 450 424 650 622 950 Campers Trailers 194 200 273 200 206 400

IJKL is a parallelogram Select the true statements used to prove that opposite angles of a parallelogram are congruent Select two I L Show your work here 53959555 25553938 B 7 5 J K ZB Z8 because same side interior angles are congruent when a transversal crosses parallel lines AIJL AKLJ by the side angle side congruence criterion Za Zo because alternate interior angles are congruent when a transversal crosses parallel lines Za Zy because same side interior angles are congruent when a transversal crosses parallel lines

Determine if triangle FGH and triangle IJK are or are not similar and if they are state how you know drawn to scale Answer Attempt 1 out of 2 F G 100 135 4 75

Question Find the value of a to the nearest tenth X 6 8 5

se the drop down menus to explain if the two figures below are congruent similar or neither If the figures are similar state the scale factor Answer Attempt 1 out of 2 Figure BCDEF Figure BCDEF H 1 12 11 10 9 76543 C D 10 10 11 8 9 10 11 12 congruent to Figure GHIJK because rigid motions be used to map Figure BCDEF onto Figure GHIJK similar to Figure GHIJK because rigid motions and or dilations be used to map Figure BCDEF onto Figure

ABCD is a kite so AC 1 DB and DE EB Calculate the length of AC to the nearest tenth of a centimeter 4 cm 4 cm D E B 5 cm

A 25 foot ladder is set against the side of a house so that it reaches up 15 feet If Camden grabs the ladder at its base and pulls it 3 feet farther from the house how far up the side of the house will the ladder reach now The answer is not 12 ft Round to the nearest tenth of a foot

In the diagram below PQ is parallel to MN If PQ is 6 more than OQ ON 12 and MN 21 find the length of OQ Figures are not necessarily drawn to scale State your answer in simplest radical form if necessary N

In the diagram below FG is parallel to CD If FG is 7 more than DG EG 6 and CD 15 find the length of DG Figures are not necessa drawn to scale State your answer in simplest radical form if necessary

Solve for 2 Round your answer to the nearest tenth if necessary Figures are not necessarily drawn to scale g 20 83 E 13 D H 8 28 39 F

Quadrilateral OPQR is similar to quadrilateral STUV Find the measure of side VS Figures are not drawn to scale 22 4 4 R Q P V U T

Enter segments in the blanks provided that would result in a true equation H K

Find the value of a to the nearest tenth Xx 8 5

To indirectly measure the distance across a river Savannah stands on one side of the river and uses sight lines to a landmark on the opposite bank Savannah draws the diagram below to show the lengths and angles that she measured Find PR the distance across the river Round your answer the nearest foot Diagram is not to scale R 125 ft 165 ft 255 ft C

Triangle KLM is similar to triangle NOP Find PN Round your answer to the nearest tenth if necessary Figures are not drawn to scale 33 7 14 M

Given ANOP AQRP Enter segments in the blanks provided that would result in a true equation R 0

Find the length of the third side If necessary round to the nearest tenth 12

Question Determine if triangle FGH and triangle IJK are or are not similar and if they are state how you know Note that figures are NOT necessari drawn to scale 37 100 135

In the diagram below OP is parallel to LM If OP is 7 more than LO ON 10 and LM 18 find the length of LO Figures are not necessarily drawn to scale State your answer in simplest radical form if necessary

JK 37 KI 32 JI 42 NL 16 and ML 21 find the perimeter of ALMN Round your answer to the nearest tenth if necessar EP Figures are not necessarily drawn to scale DA

n the diagram below NO is parallel to KL If NO is 5 less than KM NM 10 and KL 15 find the length of KM Figures are m ecessarily drawn to scale State your answer in simplest radical form if necessary M

Quadrilateral CDEF is similar to quadrilateral GHIJ Find HI Round your answer to the nearest tenth if necessary Figures are not drawn to cale F 17 E 11 D 60 J

Quadrilateral LMNO is similar to quadrilateral PQRS Find the measure of side PQ Round your answer to the nearest tenth if necessary 6 73 50 29

Quadrilateral OPQR is similar to quadrilateral STUV Find the measure of side VS Figures are not drawn to scale 22 4 Q U

Home Properties is developing a subdivision that includes 330 home lots The 210 lots in the Canyon section are below a ridge and do not have views of the neighboring canyons and hills the 120 lots in the Hilltop section offer unobstructed views The expected selling price for each Canyon lot is 44 000 and for each Hilltop lot is 102 000 The developer acquired the land for 1 600 000 and spent another 3 800 000 on street and utilities improvements Assign the joint land and improvement costs of 5 400 000 to the Canyon section and the Hilltop section using the value basis of allocation Note Do not round your intermediate calculations Canyon section Hilltop section Totals Sales Value Numerator Percent of Sales Value Denominator of Sales Value Cost to Allocate Allocated Cost

Find the collision probability of 1200 bytes IEEE 802 11 FH packet at 2 Mbps and the Bluetooth Assume dwell period of an 802 11 transmission to be 3 ms and Bluetooth packet duration 0 625 ms What is PER with IEEE 802 11 DS

Description Common Shares Contributed Surplus Retained Earnings Cash Debit Earnings Per Share Revenue 5 040 000 545 000 7 015 00 Credit 12 600 000 Place only one I in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

What is the perimeter of rectangle ABCD A A 30 units B 40 units C 50 units B D C

A hot air balloon is floating above a straight road To calculate their height above the ground the balloonists simultaneously measure the angle of depression t two consecutive mileposts on the road on the same side of the balloon The angles of depression are found to be 17 and 20 How high in feet is the ballon G

Click on the graph to view a larger graph For the given angles x and y in the triangle given in the graph sin x tan x 5 secx y 3 and cos y and cot y and csc y

An aerial photograph from a U 2 spy plane is taken of a building suspected of housing nuclear warheads When the photograph is taken the angle of elevation of the sun is 33 By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph scientists determine that the shadow of the building in question is 72 feet long How tall is the bulding Round your answer to two decimal places feet

You approach a hill on top of which there is a tall radio antenna You know from your map that your horizontal distance from the bottom of the radio antenna is 600 feet The angle of elevation to the bottom of the antenna is 10 and the angle of elevation to the top of the antenna is 25 You figure that the height of the hill is feet and the height of the antenna is feet Enter your answers rounded to the nearest foot Hint Draw a picture Figure out the height of the hill Figure out the combined height of the antenna and the hill Compute the difference

Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c Also note that a is the length of the side opposite angle A and b is the length of the side opposite angle B Given that b 11 and A 17 determine the values indicated below Round to four decimal places when needed a C B degrees

1 Capability diagram of synchronous generator Code Prent Prants Roter field current limit PB Stability limit Armatore current limit Inc leading pl Prime mover limit larging p

35 The strength S of a rectangular wooden beam is proportional to its width times the square of its depth Find the dimensions of the strongest beam that can be cut from a 12 in diameter cylindrical log Round answers to the nearest tenth 12 A w 5 9 in d 10 8 in C w 6 9 in d 9 8 in B w 7 9 in d 10 8 in D w 7 9 in d 8 8 in 35

Find the area of the region indicated in blue Area sq units Report answer accurate to 3 decimal places 136 2 2

Solve the problem 34 A trough is to be made with an end of the dimensions shown The length of the trough is to be 16 feet long Only the angle 0 can be varied What value of 0 will maximize the trough s volume A 30 B 14 C 46 D 32 34

Find a formula for the trigonometric function graphed below Use a as the independent variable in your formula help formulas 11 Click on graph to enlarge

Graph the trigonometric function f x COS x Y 5TT 2 Drag the smaller blue points to adjust the amplitude and period and move the larger purple point to adjust the placement of the entire graph AAA

8 The circle centered at Q is a scaled copy of the circle centered at R Lesson 3 1 a Find the scale factor b Find the value of x 3 R 5 X Q 20

4 Let k be a real number such that 1 k 0 Draw a figure that represents the value of sin x sin k Your figure should NOT involve the graph of y s