Area Questions and Answers

Question 9 8 2 2 e the Venn Diagram to show the set SUF he graphing tool to graph the set Click to enlarge graph

What is the approximate sector area of a sector defined by minor arc BA i e the shaded region Givens The center of the circle is point C mZADB 50 CB 5 cm 25 18 125 18 25 cm 125 x cm cm cm Sor Figure may not be drawn to scale

02 04 MC F 3 units E 5 units In AEFG is it possible for GE to measure 9 units Yes because 3 5 9 5 9 3 and 9 3 5 No because 3 5 9 5 9 3 and 9 35 Yes because 3 5 9 5 9 3 and 9 3 5 No because 3 5 9 5 9 3 and 9 3 5 G

A student states that a triangle can be formed with side lengths 3 in 5 in and 9 in Is the student correct Why or why not Yes because 3 5 9 Yes because 3 9 5 No because 3 9 5 ONe hooguce 2 569

9 Find the value of x that makes the lines parallel x 3x 20 8x 15

A city s limits form a perfect circle that has a diameter of 24 kilometers The city has a population density of 470 people per square kilometer What is the city s population Round to the nearest integer Your answer Correct answer 106 877 212623 D Explanation The population density is equal to the total number of people divided by the area P A Report issue AT122 452 3893421 people X people First find the land area of the city Recall that the area of a circle with radius r is given by A r2 This circular city has diameter of 24 kilometers so its radius is 12 kilometers The land area of the city is about 452 3893421 square kilometers Now use the land area and the density to find the population

Question 2 25 points A right cone is shown with the following measures A radius of 5 cm A slant height of 13 cm Determine the volume of the cone 85 cm 90 cm 100 cm 108 3 cm Figure may not be drawn to scale

Consider the following solids Figures may not be drawn to scale Volume A 01 Solid A Volume B Solid B Dati Use the above diagram to compare the volumes of the right cylinder to the oblique cylinder Based on the measures provided in the diagram which solid as the large volume Volume of Solid A is larger Volume of Solid B is larger Both solids have the same volume There is not enough information to compare the 2 volumes

Question 2 22 points Find the volume of a right triangle prism given the measures in the diagram Figure may not be drawn to scale 216 cm 288 cm 336 cm 396 cm

80 of the voters favor Ms Stein If 250 voters are chosen at random what is the indicate favoring Ms Stein The expected number of voters who indicate favoring Ms Stein is

What is the yearly employer contribution to the U S Medicare tax on a salary of 60 000 year Social Security 12 4 A 1740 C 870 FICA Taxes employer exployee 6 2 6 2 B 7440 Medicare 2 9 employer employee 1 45 1 45

Part 1 of 2 Data from a survey can allow one to estimate how many people who classified their work status as part time or ull time actually worked in the last week Find the probability that the hours worked were 29 or less given hat the worker was part time O Points 0 of 1 Labor Force Status Full Time Worker Part Time Worker Total Hours Worked in the Las 0 19 20 29 30 39 40 49 29 45 131 696 76 89 81 46 105 134 212 742 The probability that the hours worked were 29 or less and that the worker was part time is Round to four decimal places as needed

Points 0 of 1 any different 5 letter words can be made e first letter must be B or X and no letter may be repeated beats are allowed but the first letter is B or X many of the 5 letter words starting with B or X with no repeats end TH first letter must be B or X and all the letters in the word must be different then there are

Find the area Simplify your answer 8 x 3

x 16 A 4x 5 Use the properties of vertical angles to find the value of x A B 0 C 7 D 3 5 What is the measure of ZA A B C D 163 157 161 159

Find mZTUL mZTUV 167 mZTUL x 11 mZLUV 11x A 24 B 22 C 18 D 20

Solve for x Figures Figures are not necessarily drawn to scale 20 R X U 10 T 14 S 24 5

wo parallel lines are cut by a transversal as shown What is the value of x A 55 B 65 C 45 D 85 E 75 125

2 22 mm 25 mm Perimeter 18 mm thensolve Owhat 0 number are missin 6 mm mm

L 1 Polynomial Find the degree of this polynomial h3

Find the number of terms in this polynomial 3c6 Submit

Find m BDC 0 0 0 0 B 95 75 79 43 41 C A T 63

In circle O AE and FC are diameters Arc ED measures 17 F E 180 107 O What is the measure of EFC O 253 270 D A B C

What is the measure of Arc CB 60 B 84 60 90 67

4 Explain the relationship between dilations and similar figures 4 points

Lesson 2 4 Solve each equation If the equation is an identity write identity If it has no solution write no solution 23 61 6 26 4h 5 9h 29 w 9 4w 32 p p 4 35 102 5 32 8 z 24 5m 3 9m 1 27 2 3x 6 3 2x 4 30 m 3m 4 33 7 8h 36 3 g 1 7 3g 4 25 8d 4d 8 28 7r 80 91 31 b 4b 8b b 34 6p 1 3 2p 1 37 17 20q 13 5q 4

What is the measure of arc FQ F Q 115 147 130 155 T 75 R S 40

In circle O ST is a diameter 2x 8 R 3x 14 U S O 3x 14 T What must be the value of x x choose your answer choose your answer 25 4

Which is true regarding chords and diameters of circles Chords have two endpoints on a circle Diameters have one endpoint on a circle and one at the center O Chords have one endpoint on a circle and one at the center Diameters have two endpoints on a circle Both chords and diameters have two endpoints on a circle Chords must intersect the center of a circle Both chords and diameters have two endpoints on a circle Diameters must intersect the center of a circle

2 3 4 Find the measure of the missing angle 61 A 62 B 112 C 68 D 118 Find the value of x A 60 B 120 C 150 D 50 PQRS is a kite Find the value of x A 4 B 3 C 22 2 1 D 2 1159 20 S Find the values of a and b A a 113 b 60 B a 113 b 30 C a 67 b 60 IDI 67 67 Q 120 7x 2 120 5 6 R 7 8 In parallelogram ABCD find BC A 8 B 25 C 17 D 9 Find the value of x A 86 B 23 C 103 D 80 Choose the phrase that best completes the sentence A rectangle is a parallelogram with 17 A four congruent sides B four congruent sides and four right angles C four right angles D two pairs of parallel sides WXYZ is a rhombus Find the value of x rhombus IEXYZ A 3 B 27 C 18 D 9 x 18

LES If E 44 and D is 63 what is the measure of arc FED Your Answer D Answer

Prove that given any segment AB there exist points C and D that trisect AB in the sense that AC CD DB

Find the area of the blue shaded regi 10 m 8 m 18 m 20 m

A region R is bounded by y f x and y 0 as shown in the graph below Three solids are created with the base shown above using cross sections perpendicular to the x axis The cross sections are A squares B circles and C equilateral triangles A y f x B OB C A OB A C OA C B OA B C OC B A OCCAB C Put the volume of the solids in order from smallest to largest

4 A watch tower is 36 ft tall and casts a shadow of 64 ft If the distance between the watch tower and a tree is 32 ft determine the height of the tree

6 6 03 Review In parallelogram ABCD AP x 6 and PC 5x Find the value of x A D B C

5 SAT Question Systems of Equations look it up if you don t remember to give this problem a try What is the solution x y to the system of equations below Justify mathematically a 5 2 b 3 8 c 4 6 d 9 6 3x 4y 23 2y x 19

Question 4 1 point C A B Chord CB is a diameter and B is 16 What is the measure of arc AB Your Answer

N L M If LM 4 and KL 9 find the length of MN Round your answer to one decimal place Your Answer Answer

8 Chords 0 000 000 000 000 000 0 78 65 143 20 Find the measure of x to 78 65 1P Lindsay Bowden 2017

Question 44 Points 2 Match the term to the given definition below The premises may be true but the conclusion does not follow them O Sound Invalid Unsound Valid

Given that in the shown figure y x 2 and z 2x 2 determine the value of x z D B C 17 50 A

52 5 O 307 5 105 90 14 Find the value of x 52 5 to 1 pc Lindsay Bouden 2017

For income tax purposes a man uses a method called straight line depreciation to show the loss in value of a copy machine he recently purchased He assumes that he can use the machine for 6 years The following graph shows the value of the machine over the years Use this graph to answer the following question What was the purchase price of the copy machine machine was S Value thousands of dollars 6 t6 F

TINTES ENG 10 13 You must attempt this question What is the area of the heptagon

Complete the proof that ATUV ATSU V 1 SU 1 UV TU I SV 1 2 3 4 5 6 7 Statement T TULE U S ZUTV STU m s m2V 90 m s m SUT 90 m s m2SUT m s mzV m SUT m V Reason Given Given Acute angles in a right triangle sum to 90 Acute angles in a right triangle sum to 90 Properties of addition subtraction multiplication

The diagram shows a sector AOB of a circle of radius 1 and centre O where A B 0 The lines AB A B2 A B3 are perpendicular to OB A B A B2 are all arcs of circles with centre O Calculate the 0 B3 to infinity of the ore longtho B AR A B D B D

Expr or as f x 3x 5 7x 4 15x 3 26x 2 27x 5 fractions in simplest form Use commas to separate

Ifx 14 cm y 9 cm and z 21 cm what is the area of the figure show below y X Z Do not include a unit of measure with your response Type your answer 4

In the figure mzCBD 80 What is the measure of CAD A OB 40 O C 60 D 80 B C D