Area Questions and Answers

Lessons Question 11 Multiple Choice Worth 4 points 01 07 MC Statement Janet is designing a frame for a client She wants to prove to her client that m1 B Assessments D Justification Segment CD intersects segment AB Given Gradebook

Given 48 and 2BDF 46 determine the measure of the arc B You may assume that point A is the center of the circle 940 142 138 140 po F B A 48 E C 46 D Figure may not be drawn to scale

there enough evidence to suggest that triangle below is a right triangle Figure may not be drawn to scale H 2 9 G 41 40 Yes Triangle GHJ is a right triangle No Triangle GHJ is a NOT right triangle

63 B I 441 1764 Which answer make the most since A Figure 4 Using Figure 4 calculate the numerical value of x 42 21

Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180 A C 180

18 Find the area of the sector 36 mm 20 mm O 40 mm O225 mm 20 mm 36

Show your work here cone given the height and radius shown ST 5 10 Hint To add the pi symbol r type pi

13 O 25 Which expression represents the volume in cubic units of the composite figure 5 13 a 5 12 TU 5 12 5 13 n 5 25 TU 5 13 TU 5 13 5 25 TU

Its inner radius is 10 cm The width of the ring is 3 cm 0 Find the area of the shaded region Do not round any intermediate steps Round your answer to the nearest hundredth If necessary refer to the list of geometry formu cm 3 cm 2 10 cm X

26 Which figure can serve as a counterexample to the conjecture below If one pair of opposite sides of a quadrilateral is parallel then the quadrilateral is a parallelogram O A OB O C OD A rectangle B rhombus C square D trapezoid

WXYZ is a kite What is the measure of Angle W W 85 O 95 85 100 105 75 N

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 unit 17 00 8 15 What is the unfilled volume inside the cylinder 725 cubic units 5977cubic units 6407cubic units 320mcubic unit

The volume of the sphere is 500 cubic units 3 What is the value of x 4 units 5 units 10 units 8 units

A right triangular prism is shown 15 17 15 8 What is the volume of the prism 1 020 cubic units O2 312 cubic units 900 cubic units 1 800 cubic units

The radius of the large sphere is double the radius of the small sphere 3 Tynou 6 How many times is the volume of the large sphere than the small sphere

Find the volume of the cylinder given the height and radius shown Show your work here 12 18

DIRECTIONS Type your response for the space labeled b Complete the proof Given BC CD AC bisects BCD Prove AABC AADC BC CD AC bisects LBCD 41 42 Statements ACAC AABC AADC Given D b Definition of Angle Bisector SAS Reasons

Given AKLM AQLR Which of the following proportions is true OA LK QR LM KM B LQ QK O C LQ O D LR LM LK QR KM QR KM LQ QK K M

Find the value of y that proves AQRP AQRS Q 70 5y A 55 R O A 11 OB 14 O c 27 5 O D 55 S

What value of x would make AABC APQR A B O A 11 OB 6 10 O C 14 D 2 6 12 C P 6 x 4 18 R

2 Given any two points P and Q on a line suppose that there are two coordinate systems defined so that for the first number system we ll call it C P 0 and Q 100 and the other we ll call it F P 32 and Q212 Suppose there is another point on the line R find the following a In coordinate system C R1 in the F coordinate system R F b In coordinate system C R 40 in the F coordinate system RA 1 c In coordinate system F R 98 6 in the C coordinate system RA E d In coordinate system F R0 in the C coordinate system R e What are we doing in terms of elementary education

7 From the top of a lighthouse 160 feet high the angle of depression of a boat out at sea is 240 Find to the nearest foot the distance from the boat to the foot of the lighthouse The foot of the lighthouse is at sea level 4 pts

Choose the statement that is true about the given quantities Column A sin 45 Column B cos 45 O The quantity in column A is greater The quantity in column B is greater O The two quantities are equal The relationship cannot be determined from the given information None of the other answers are correct

Use the triangle below to find cos ZV T 15 6 V O 2 29 29 O 5 29 29 01 201 L

Solve for n 1 1 n Write your answer as a decimal n Submit

Solve for r 1 6 r Write your answer as a fraction r Submit

A B D C LABC measures 90 and ZLABD measures 25 What is the measurement of ZDBC

Transmission times can vary depending on population geographical region or the type of material used in the telecommunication wires The CEO realizes that in a heavily populated city the transmission rate drops to 45 000 bytes per minute If the average transmission time of a message being transmitted in this heavily populated city is 4 2 seconds what is the average size of a message transmitted by Relay Communications in this heavily populated city

Juniors Seniors Total Varsity Soccer A 0 086 B 0 134 C 0 247 D 0 375 108 Varsity Basketball 32 The unfinished table above shows the number of juniors and seniors at Woodsfield High School who participate in either varsity soccer or varsity basketball There are 4 times as many varsity soccer players who are juniors as there are varsity basketball players who are juniors and there are 3 times as many varsity soccer players who are seniors as there are varsity basketball players who are seniors If there is a total of 108 varsity soccer players and 32 varsity basketball players at Woodsfield High which of the following is closest to the probability that a randomly chosen varsity basketball player is a junior Note Assume that no student plays both varsity soccer and varsity basketball

A triangle was modified by increasing its base by 20 percent and decreasing its height by h percent If these modifications decreased the area of the triangle by 28 percent what is the value of h A 48 B 40 C 30 D 28

A group of scientists designed a study to test the effectiveness of pesticide P at eradicating aphids from rose gardens From a large group of botanists 400 participants with aphid infested rose gardens were randomly selected to participate in the study Half of the 400 botanists sprayed their rose gardens with pesticide P and the other half did not The data showed that the rose gardens sprayed with pesticide P had significantly fewer aphids as compared to those that were not sprayed with pesticide P Which of the following is an appropriate conclusion of the study A Pesticide P will decrease the number of aphids in any rose garden B Pesticide P is the best pesticide available for decreasing the number of aphids in a garden C Pesticide P will likely decrease the number of aphids in aphid infested rose gardens D Pesticide P will kill substantial numbers of aphids present in a garden

e 0 5m 10mh The equation above gives the approximate energy e in joules associated with a rollercoaster cart that has mass m in kilograms speed v in meters per second and height h in meters Which of the following gives h in terms of e m and v 0 05 A h B h 10m e 0 5v 10m C h e 0 05v 1 D h 0 05v 10m

ent Events What is the probability that both of your parents were born on a weekend assume day is equally likely and that a weekend day is either Saturday or Sunday that each O NIN 2

B A C D Size Small Large Total 9 50 17 50 21 50 37 50 27 The table above shows the number of marbles of different colors and sizes in a bag of 50 marbles If a marble is chosen from the bag at random what is th probability that the marble selected will be either a small red marble or a large blue marble Red 16 7 Color 23 Blue 6 21 Total 22 28 50

1 Polynomial vocabulary DYB Classify this polynomial 2y linear Submit quadratic cubic 4 none of these

Find the product Simplify your answ 2v 2 2v 2 O

el ML 6 Add subtract multiply and divide polynomials 5WQ Find the product Simplify your answer 6 2c 9

6x 2 11 5x 8x 4 4x 2 1 Write your answer in the following form Quotient Remainder 4x 2 1

Write an expression for the width of this rectangle 2a Area 2a 2 14ab

5 In a right triangle SRT m R 90 m T 30 and RT 7 What is the length SR Method a 3 3 b 7 3 3 c 14 3 14 3 d 3 Work

www jmap org P I A2 M 2 Convert between radian and degree measures 1 Convert 20 to radians 24 16 36 2 22 X X 2 Convert 60 to radians 3 Convert 4 Convert 2 3 5 Convert A 130 C 65 13 20 Fradios 2 to degrees 18 to degrees to degrees B 249 D 260 NAME 6 Convent 200 to radians 10 A C 7 Convert A 83 C 196 12 B I D 2008 to degrees 27 B 165 D 330 300 12 Shack 360 360 8 Convert 36 to radians A B C D S Copco X 165 9 The five degree measures for five angles are 30 40 35 50 and 55 Find the mediar angle measure Change it to radians Round your answer to the nearest hundredth

a Marti earned 280 last week Her hourly rate is 7 The formula w hr gives the weekly wages for working h hours at a rate of r dollars an hour Solve this formula for h b Use the formula you found in part a to find the number of hours Marti worked last week

The formula for finding the area of a square is A s Transform this formula to find a formula for length of a side of a square with an area A

20 In the figure ABCD is a parallelogram M is the mid point of AB and N is a point on AD such that AN ND 2 1 If BN and CM intersect at P such that the area of AMPN is 585 cm then the area of CPND is A 1035 cm B 1040 cm C 1170 cm D 1175 cm 2 Lust x 7 M B A P D

10cm 3cm 2cm 15 cubic centimeters What is the volume of this rectangular prism 6 cubic centimeters 60 cubic centimeters 20 cubic centimeter

rectangle pendic to its base The shape of the cross section is a circle cylinder triangular prism

Write a quadratic function in standard form to represent the data in the table X 2 4 y 3 1 Standard Form f x ax bx c What is the vertex 63 Write the equation in vertex form f x a z Now choose another point to find the value of a Substitute that point into the vertex form of the function to find the value of a y 8 10 9 19 Now write the vertex form of the function Then convert to the standard form The standard form of the function is Enter numbers only 2

20 in 6 in 4 in 20 in Sin Based on Cavalieri s Principle will the two prisms have the same volume Yes the heights of both prisms are the same and they have the same cross sectional area Therefore they will have the same volume No they will not be same Although the heights are the same the cross sections are different shapes

A cone is cut by a plane that is perpendicular to its base Which of the following could be the shape of the cross section formed Triangle Trapezoid Circle Rectangle

A circle with a diameter of 30 yd is shown Answer the parts below Make sure you use the correct units in your answers If necessary refer to the list of geometry formulas a Find the exact circumference of the circle Write your answer in terms of it Exact circumference b Using the ALEKS calculator approximate the circumference of the circle button on the calculator and round your To do the approximation use the answer to the nearest hundredth Approximate circumference 30 yd olo yd X B JT yd yd