2D Geometry Questions and Answers

5 What value of x satisfies the equation sim 3x 5 cos 4x 1

2 If cos x 30 sinx the measure of angle x is

Express sin T as a fraction in simplest terms V 18 U 24

12 23 7 14 AM Question 19 Geometry Spring Final Sr A dining table is in the form of a regular hexagon What is the sum of all the interior angles of the table A B C 540 720 900 D 1080

B Geometry Spring Fi Question 20 Triangle ABC has points A B and C located at 3 3 2 1 1 4 respectively Triangle DEF is a dilation of Triangle ABC about the origin using a scale factor of 2 Which graph shows the resulting image Triangle DEF A 7 14AM N 7 14AM D 10 D

A How was each point of Polygon ABCDE shifted to get Polygon ABCDE B C B 4 8 LE A D right 1 unit and down 4 units right 1 unit and down 1 unit left 1 unit and up 4 units D left 1 unit and up 1 unit

Find WX W U 8x 1 A 35 B 29 C 24 10x 5 7x 8 V X T

Question 24 Find the A B Round to the nearest tenth 48 2 B 40 8 C 91 0 D 19 6 26 17 91 Geometry Spring Final Sr C 261 16 00 Pari

C D A Question 10 A sphere has a volume of 33 5 cubic inches Which value is closest to the radius of this sphere in inches B C 81T D 972T 1 6 inches 2 inches 3 2 inches 4 inches

eBook Current assets Cash Marketable securities Accounts and notes receivable net Inventories Prepaid expenses Total current assets Current liabilities Accounts and notes payable short term Accrued liabilities Current Year 1 Working capital 2 Current ratio 3 Quick ratio b The liquidity of Nilo has have all 699 200 809 600 331 200 686 400 353 600 2 880 000 464 000 490 000 210 000 336 000 800 000 Total current liabilities 700 000 a Determine for each year 1 the working capital 2 the current ratio and 3 the quick ratio Round ratios to one decimal place Current Year Previous Year Previous Year 588 000 661 500 220 500 469 700 300 300 2 240 000 from the preceding year to the current year The working capital current ratio and quick ra in current assets relative to current liabilities Most of these changes are the result of an

14 Two darts are thrown at the dart board below The darts are equally likely to land on any point on the board What is the probability that one dart hit the white area and the other dart hit the dark gray area 16 cm 16 cm

AP Q R is a translation of APQR Write the translation rule 1104 10 8 6 Q X Y 4 P 2 8 6 4 2 0 2 4 6 8 10 o R 2 4 P 6 8 R X 10

What is mZUVW V U mZUVW 103 Write your answer as an integer or decimal Submit T 142 O W Work it

U 12 Inscribed angles 98U What is mZTUV V T m TUV 85 Write your answer as an integer or decimal Submit S U

The dimensions of an average cereal box has a length of 8 inches a width of 1 75 inches and a height of 12 125 inches A Calculate the volume and surface area of the cereal box B If cardboard costs 0 05 per square inch calculate the cost of manufacturing CREAL Continue for next steps Instructions Step 2 Your goal is to design a new shape for a cereal container that will hold the same volume of cereal as a standard cereal box and costs as little as possible to make Assume that cardboard costs 0 05 per square inch How cheaply can you package cereal C Design a new cereal box that will hold the same amount of cereal but reduce manufacturing costs Prove that your new design holds the same amount but can be manufactured more cheaply i Draw a net of your new design Include all relevant measurements so that your cercal box can be

U 12 Inscribed angles 98U What is mLIJK I H Submit 85 137 K J Write your answer as an integer or decimal mZIJK Work it out

A partial sum of an arithmetic sequence is given Find the sum 22 9 3n n 0 Show Transcribed Text

hing that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null new sedan the Libra will average better than 32 miles per gallon in the city terms Be sure to address the original claim Carter hypothesis state the conclusion in nontechnical terms A There is sufficient evidence to support the claim that the mean is less than 32 miles per gallon B There is sufficient evidence to support the claim that the mean is greater than 32 miles per ga C There is not sufficient evidence to support the claim that the mean is greater than 32 miles p D There is not sufficient evidence to support the claim that the mean is less than 32 miles per

Find the value of x 176 7x 50 The figure is not to scale Q Th

Part 1 of 2 A student needed to find the measure of angle b She incorrectly said mZb 129 Find the correct measure of angle b What mistake did she likely make m b 0 b V a 51 The figure is not shown to scale

The lateral area of a cone is 60 m The slant height is 15 m What is the radius

The surface area of a cone is 55 cm The radius is 5 cm What is the slant height

Part 1 of 2 O Points 0 of 1 The diameter of a cylinder is 7 yd The height is 4 yd Find the volume of the cylinder in terms of and to the nearest tenth Find the volume V of the cylinder in terms of v yd Simplify your answer Type an exact answer in terms of x

Find the height of the figure below with the given volume in Simplify your answer 9 in V 729 in

The volume of a cylinder is 1470 cm The radius of the base of the cylinder is 7 cm What is the height of the cylin The height of the cylinder is cm Simplify your answer

5 3D shapes are found everywhere Give a real life example of where you ve seen these 3D shapes today a Sphere b Cylinder c Cone d Rectangular prism

If the connector was formed using concrete that costs 1 90 per cubic meter what was the total cost of the concrete needed to create the connector

A degenerate conic section is a figure formed when a plane intersects the vertex of a double napped cone The three types of degenerate conic sections are a point a line and a pair of intersecting lines point line pair of parallel lines

AG is tangent to circle O at point A If m AI 108 find m IAG I V A G

Which circle has a radius that measures 10 units O O 10 20 T 10 G H 20

Circle O has a circumference of 367 cm O B What is the length of the radius O 6 cm O 18 cm O 36 cm O 72 cm

5 J a Name the following 3D figures by their most specific names b What is the difference between the second and last figure

hich figure can have the same horizontal cross section as a sphere BAAA 21 F

a Which of the following would map the rectangle below onto itself a 7x axis b Ty 1 c 7x 1 d Ty 4 b Reflect the figure over the line x 2 KEY UNDERSTANDING 1

2 What 3D shape would be formed if you rotated th figure below 360 degrees around the x axis LO a Rectangular prism Cylinder 5 0 5

Line segments XY and ZY are tangent to circle O X O N Which kind of triangle must triangle XYZ be O an equilateral triangle an isosceles triangle O a scalene triangle a right triangle

In circle P diameter QS measures 20 centimeters C R 123 P S What is the approximate length of arc QR Round to the nearest tenth of a centimeter O 9 9 centimeters O 19 9 centimeters O 21 5 centimeters O 43 0 centimeters

The lateral area of a pyramid with a square base is 2400 in Its base edges are 48 in long Find the height of the pyramid The height of the pyramid is in Type a whole number

270 A N M In the diagram of circle A what is mZLMM O 75 O 90 O 120 O 135

Circle D is shown with the measures of the minor arcs E 65 65 D G 115 F 115 Which segments are congruent O EH and EF O GH and FE O FG and EH O EF and GF

The lateral area of a cone is 13 in2 The radius is 2 6 in Find the slant height The slant height is in Type a whole number

Find the surface area of the cone in terms of The surface area of the cone is cm Simplify your answer Type an exact answer in terms of 19 cm 10 cm

Which equation represents the circle described The radius is 2 units The center is the same as the center of a circle whose equation is x y 8x 6y 24 0 O x 4 y 3 2 O x 4 y 3 2 O x 4 y 3 2 O x 4 y 3 2

Find the lateral area of the cone 3 cm 25 cm The lateral area of the cone is cm Do not round until the final answer Then round to the nearest whole number as needed FFF

Find the lateral area of the hexagonal pyramid The lateral area of the pyramid is cm Do not round until the final answer Then round to the nearest whole number as needed 5 cm 4 3 cm 8 cm

Line segments MP and ML are perpendicular chords in Circle O MP 10 and ML 24 M 24 P Which statements about circle are true Select three options The radius of circle O is 13 The diameter of circle O is 34 OLP is a diameter of circle O OZLMP intercepts a semicircle The measure of arc LP is 90

Consider circle Y with radius 3 m and central angle XYZ measuring 70 Y 3 m What is the approximate length of minor arc XZ Round to the nearest tenth of a meter O 1 8 meters O 3 7 meters O 15 2 meters O 18 8 meters

What is the lateral area of the cone 4 ft 9 ft The lateral area of the cone is ft Round the final answer to the nearest whole number as needed Round all intermediate values to four decimal places as neede

Find the surface area of the pyramid 3 3 m 6 m The surface area of the pyramid is m Do not round until the final answer Then round to the nearest whole number as needed 6 m

12 Which equation results from applying the secant tangent segment theorem to the figure O 12 a 12 10 O 10 12 a O 10 a 10 12 O 10 12 a