Geometry Questions

Evaluate the line integral L x y dx x y dy over the given curves C where A C is the arc of the parabola y x2 from 0 0 to 2 4 3 C is the segment of the line y 2x from 0 x 2

a Sketch a horizontal cross section b Sketch a vertical cross section that contains the vertical line of symmetry a Choose the correct answer below A B II

Describe the cross section of the figure to the right Choose the correct answer below OA The cross section is a triangle OB The cross section is a rectangle OC The cross section is a line OD The cross section is a circle GEW

tersects the front and right faces of the cube on described above Choose the correct answer below OB O C

Verify Euler s Formula for the polyhedron to the right Then draw a net for the figure and verify Euler s Formula for the two dimensional figure Verify Euler s Formula for the polyhedron Choose the correct answer below OA 6 6 10 2 12 12 OB 7 5 10 2 12 12 O c 8 5 11 2 13 13 OD 8 6 12 2 14 14

How many vertices faces and edges are in the polyhedron to the right List them How many vertices in the polyhedron List them A There are eight vertices Q B C D M V W and H B There are eight vertices H W V M I D C and B OC There are seven vertices W Q B H C M and V D There are seven vertices M Q D C W H and B G Q M B 1 1 1

The graph of the total profit P x in dollars from the sale of x cordless electric screwdrivers is shown to the right A Write a brief verbal description of the graph of the marginal profit function y P x including a discussion of any x intercepts B Sketch a possible graph of y P x 25 000 OA 300 45 000 1800 17 A On what interval s is the marginal profit function P x positive Select the correct choice below and if necessary fill in the answer to complete your choice Type your answer using interval notation Use a comma to separate answers as needed

For the pair of similar figures find the ratio of the area of the first figure to the area of the sec Input answer as first second D 12 cm 9 cm Time left 0 58

Factor the trinomial below x2 5x 24 OA x 3 x 8 OB x 6 x 4 OC x 4 x 6 OD x 8 x 3

Find the area of the shaded region to the nearest tenth 6m 4m

What is the area of the figure below 3 5 cm Select one a 56 cm b 28 cm c 40 cm d 20 cm 4 cm

What is the area of the figure below 12 ft C 4 5 ft 16 ft Select one a 40 5 ft b 63 ft c 81 ft d 126 ft

5 m v Find an equation for the graph above 4 3 2 1 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 234 5 1 2 3 4 5 6 7 8 9 10 p

A patient is admitted to the hospital with severe burns covering their arms legs and chest The nurse needs to calculate the total surface area of the burns to determine the appropriate medication dosage If the patient s right arm is burned and measures 10 inches in length and 6 inches in circumference what is the total surface area of the burn in square inches

45 Answer Check 60 3 Find the area of the shaded sector of the circle Round your answer to the nearest tenth 5

3 Answer Check Find the area of the shaded segment Round your answer to the nearest tenth 8 60

Find the area of OO Round your answer to the nearest tenth Answer Check Find the area of AAOB Round your answer to the nearest tenth Answer I Check

36 6 swer Check nd the area of the shaded sector of the circle Round your answer to the nearest tenth 45 3 swer check d the area of the shaded sector of the circle Round your answer to the nearest tenth 5

3 Hands of a clock suggest an angle whose measure is continually changing How many degrees does a minute hand move through during each time interval For a c give the degree measure 10 a 1 min b 5 min c 20 min 12 TT 4 For a c find the degree measure 1 TT a radians 4 T b radians 3 Kimberly Sucato C radians 2

Find the area of the shaded segment of the circle The area of the shaded segment is cm Round to the nearest tenth as needed 12 cm 60 5

Find the area of sector TOP in O using the information given below r 11 m mTP 117 The area of sector TOP is m Simplify your answer Type an exact answer in terms of

In a circle a 90 sector has area 225 in What is the radius of the circle The radius of the circle is in Simplify your answer

Find the measure of each arc in OB GHJ GJI 71 mZGBI Choose GHI HJI JHI HGJ B 151 GH H Choose Choose Choose Choose Choose Choose Choose Choose

Find the length of the darkened arc Leave your answer in terms of it 18 ft Select one a 7 5 ft b 15 ft c 9n ft d 1 5T ft Check 30 Find the value of the variable F 20a 30 H G 10a 2 2a 4

Find the value of the variable 2a 24 Z

Solve the equation on the interval 0 2x 2 cosx v2 C2 sinh theo X

Find the length of the darkened arc Leave you answer in terms of 20 m Select one a 10 in b 17 5 in c 35m in d 70m in 45

Find the area of the shaded sector of the circle The area of the shaded sector is m Simplify your answer Type an exact answer in terms of 30 m 160 o U

Given the diameter find the circumference of the circle Leave your answer in terms of T 5 7 cm Select one a 8 55 cm b 11 4 cm c 2 85 cm d 5 7 cm

What are the minor arcs of OO H A 7 JK and LH B HJ and KL Select one A A B B OC C 0 C C K C HJ HK JK JL KL and LH D HJ JK KL and LH

What are the major arcs of O that contain point B A D 0 Select one OA A B BCA CDB DAC and ABD B B C C A B BCA CDB and ABD C AB AC BC BD CD and DA D BCA BCD CDB CDA DAC and ABD C

The pentagons below are similar The area of the smaller pentagon is 30 m What is the area of the larger pentagon in m 4m Answer 10 m The areas of two similar octagons are 112 in and 63 in 2 What is the ratio larger to smaller perimeters Input answer as larger smaller their

A regular hexagon has a perimeter 60 in What is the hexagon s area Select one a 600 3 in b 75 3 in c 150 3 in d 300 3 in The triangles below are similar What is the ratio larger to smaller of the areas 15 ft 9 ft Input answer as larger smaller

What is the area of the parallelogram 4 5 m 6m Select one a 126 m b 31 5 m c 63 m d 84 m What is the area of the figure below 10 8 in 14 m 10 in Select one Od 4 in 5 in I a 27 in 2 b 26 in c 52 in 2 54 in 2 3 in

hat is the area of the kite below 10 ft ect one a 120 ft b 30 ft c 96 ft d 60 ft hat is the area of the trapezoid below 7 cm 8 cm 4 cm 6 ft ect one a 44 3 cm b 36 3 cm c 88 cm d 65 cm

Find 2 possible values for between 0 0 360 that satisfies 3 tan 0 3 8 O 82 0

sts a family 324 to buy a 10 ft by 12 ft rug At this rate what will it cost them to buy a 15 ft by ct one a 729 D 466 56 c 388 80 d 270 eck ert raises earthworms In a square of compost 4 ft by 4 ft he can have 1000 earthworms How ma worms can he have if his square of compost has a side length that is 8 times longer ct one a 32 000 b 64 000 C 8 000 d 256 000

A 3 ft wide circular track for a camera dolly is set up for a movie scene The two rails of the track form concentric circles The radius of the inner circle is 64 ft How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn The wheel on the outer rail travels feet farther than the wheel on the inner rail of the track in one turn Round to the nearest tenth as needed 64 ft 3 ft

An athletic field is a 54 yd by 108 yd rectangle with a semicircle at each of the short sides A running track 20 yd wide surrounds the field If the track is divided into eight lanes of equal width with lane 1 being the inner most and lane 8 being the outer most lane what is the distance around the track along the inside edge of each lane The length of the track along the inside edge of lane 1 is approximately yd Type an integer or a decimal rounded to two decimal places as needed 20 yd 54 yd 108 yd

Name the minor arcs in Oo Select all the minor arcs by their correct names B CD A DBG H GD N G FCD F 0 0 0 C I 2 BC FD O RG D B XXXX 0 0 0 F C G D BCF J FC P FG 0 0 0 E BD K FOG Q DBF F GOC L BOC R CG

widths of two similar rectangles are 21 ft and 18 ft What is the ratio of the perimeters Of the areas ct one a 7 6 and 64 49 b 8 7 and 49 36 c 7 6 and 49 36 d 8 7 and 64 49 neck trapezoids are similar The area of the smaller trapezoid is 709 m Find the area of the larger trapezoid he nearest whole number 27 m 39 m Not drawn to scale ect one a 11m 2 b 729 m c 1521 m

Find the measure of arc TCB in OP mTCB Simplify your answer D Points 0 of 1

Find mZEOF for Oo mZEOF Simplify your answer

The hands of a clock suggest an angle whose measure is continually changing How many degrees does a minute hand move through during a 23 minute time interval In a 23 minute time interval a minute hand moves Simplify your answer degrees C

Find the value of x X Simplify your answer x 50 R 4x 20

What is the length of the arc shown in red 7 cm 450 The length of the arc is cm Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression

Find the circumference of the circle Leave your answer in terms of c yd Type an exact answer in terms of

What is the circumference of OP Leave your answer in terms of The circumference is cm Simplify your answer Type an exact answer in terms of t

Find the values of x and y when the smaller triangle has an area of 105 cm The value of x is cm and the value of y is cm Type exact answers using radicals as needed Rationalize all denominators X y 60 cm 70 cm

The figures are similar Give the ratio of the perimeters and the ratio of the areas of the first figure to the second 44 35 Select one 4 7 and 25 64 b 4 7 and 16 49 c 5 8 and 25 64 d 5 8 and 16 49 a