Area Questions and Answers

ATUV has vertices at T 7 8 U 1 6 and V 8 4 Is ATUV a right triangle Justify your answer Yes TU is perpendicular to TV Yes TU UV is equal to TV No TU is not perpendicular to UV No TU UV is not equal to TV

State whether the triangles are similar If so write a similarity statement and the postulate or theorem you used A 7 5 to B 8 12 N OAABC OAABC AMNO SAS AMNO AA The triangles are not similar AABC AMNO SSS C 7 5

Find the area of the Figure to the LO SO ain nearest lot

Based on the information in the diagram can you prove that the figure is a parallelogram Explain O Yes the diagonals are congruent O Yes the diagonals bisect each other O Yes two opposite sides are both parallel and congruent

A In a new movie theatre seats will be installed in the unshaded area How many square feet are available for seats 23 ft 439 2 11 ft 9 ft 32 8 ft 9 ft 11 ft Maneuvering the Middie LLC 2017

Find the area Round to the nearest whole number Image O 70 units O 35 units2 O 28 units2 O 14 units 5

If 2x 16 solve for x Select one a 3 2 O b 16 OC 4 O d 2

A function from X domain to Y range is a relation that matches each element x of X to exactly one element y of Y 2 3 Select one O True False 3 45 7 9

In quadrilateral ABCD m ZACD 2x 4 and m ZACB 5x 8 For what value of x is ABCD a rhombus A 3 B 4 O A N C Select one O D A B O B C 5 D 6

A task force of 5 members is to be chosen from 6 seniors and 4 juniors Find the number of ways in which this can be done if the task force has exactly 3 seniors Select one a 252 b 120 OC 240 Od 360

Find the number of 5 letter permutations that can be formed from the letters in the word SINGAPORE Select one a 362 880 b 15 120 O c 151 200 d 3 024

many identification codes are possible by using 3 letters if no letter may be repeated ver

The percent by volume of the drug is 67 5 If there are 500 mL of the drug how many milliliters of solvent are present

When multiplying a scalar and a vector a a when A xa A a when 0 and VIN 0

Find the difference vector of the following 4 7 and 3 8 V

4 A 5 A 24 6 D 14 D 36 6 21 C ABCD yamuk ABCD trapezoid 12 AB 21 br AD 5 br BC 6 br DC 14 br A ABCD B 30 6 6 B C 326 E 40 6

What are the two main branches of statistics The two main branches of statistics are descriptive statistics and inferential statistics sample statistics and population statistics qualitative statistics and quantitative statistics sample statistics and parameter statistics

an a n 1 d an 0 7 1 Sn a a to 13 terms 1 7 1 For each indicated series or sequence determine if it is a geometric or arithmetic one and then find the sum 16 marks a 12 16 20 24

In circle F FG 3 and the length of GH Express your answer as a fraction times T H F Find the area shaded below

Solve the rational equation If the equation has no 6 x 6 4 x 4 15x 18 x 2 10x 24

In circle C CD 3 and the area of shaded sector 37 Find the length of the arc highlighted below Express your answer as a fraction times 7 F S E D

Find the value of x Round the length to the nearest tenth 500 m Select one 40 a 321 4 m b 777 9 m c 652 7 m d 595 9 m x

Find the value of x to the nearest tenth x 55 Select one a 10 9 cm b 6 2 cm 8 9 cm c 12 7 cm d 15 5 cm

Find the length of the hypotenuse 45 Select one a 18 b 6 C 12 3 2

Find the length of the missing side Select one a 8 b 64 C 23 O d 4 17 15

6 B 10 A 8 X T ki ember K ve L noktalar nda kesi mi tir T te etin de me noktas d r PB PL PT P PA 8 cm AB 10 cm oldu una g re PT x ka cm dir A 9 B 10 C 12 D 15 E 16

In the diagram O is the centre of the circle with radius OC ABCD is a cyclic quadrilateral N is another point on the circle such that BC is parallel to ON OE bisects chord BC at Eu GC is a tangent to the circle at C GC and ON are produced to meet at F C 20 D B 150 10 1 Calculate with reasons the size of 10 1 10 10 1 2 D 10 1 3 C 10 1 4 D 10 2 OECF is a trapezium with OF 3y and EC 2x Using the formula below determine the length of OE in terms of x and y if the area of OECF y x Area of a Trapezium sum of the parallel sides x1 height 2 2 2

Write the complete factored form of fix 1x 3x 7x 7x 3 zeros 1 33 1x 0 Type your answer in factored form Use integer

If the mBC 47 cm when the m BAC 60 what is the area of the sector of the circle defined by ZBAC and BC 12 cm 24 cm D A C B 144 cm 2 47 cm

7 Is reflected over the line y a to produce 8 76 N 8 7 64 5 43 2 He 2010 10 1 2 3 4 5 6 7 8 x 4 3 4 in 6 5 y 6 7 8 T What will be the coordinates of N A 5 3 B 5 3 C 3 5

You are driving into St Louis Missouri and in the distance you see the famous Gateway to the West arch This monument rises to a height of 192 m You estimate your line of sight with the top of the arch to be 7 71 above the horizontal Approximately how far in kilometers are you from the base of the arch Number Units

2 Find the values of the six trig functions whose terminal ray passes through point Q 2 21 10 points Sin B Cos B Tan B Csc B Sec B Cot B

2 Find the length of minor arc AB to the nearest tenth The diagram below shows circle O with radii OA and OB The measure of angle AOB is 120 and the length of a radius is 6 inches O 120 6 B

Complete the wage table for an employee who receives time and a half overtime pay after 40 hours of work Hours Worked Money Earned Hourly Pay Table 10 140 00 280 00 420 00 560 00 A 770 00 B 650 00 C 840 00 D 1020 00 20 30 40 50

1 The Pyramid of Memphis in Tennessee stands 107 yards tall and has a square base whose side is 197 yards long What is the volume of the Pyramid of Memphis to the nearest cubic yard

Find the volume of the solid 20 5 in 7 in 21 2 cm 6 cm 4 cm 22 11 24 ft 4 ft

Find the area of the polygon 17 kite 26 18 regular pentagon 19 regular decagon C

Find the lateral area of each regular pyramid 7m 7 m 17 7 m 15 ft 12 ft 12 ft 12 ft ANS

3 Use the quadratic formula to solve x 2x 3 2

the parallelogram to answer each of the following questions a Find the height b Find the area of the parallelogram 3 2 The triangular prism below has a base area of 25 units and a height of 5 9 units Find its volume 3 In right triangle MTH shown below mZH 90 HT 8 and HM 5 a Which figure is formed if triangle MTH is continuously rotated around MH 7 b Determine and state to the nearest tenth the volume of the three dimensional solid formed by rotating triangle MTH continuously around MH M 5 DI H 4 What is the volume of a hemisphere that has a diameter of 12 6 cm to the nearest tenth of a cubic centimeter 8

10 Identify the measure of x 80 x e 60

15 Would the point 3 4 lie outside of Circle A x 1 y 4 96 Explain how you know

14 Given a circumference of 24 cm what is the equation of a circle with center 0 9 a x 9 y 12 b x y 9 144 x y 9 2 12 d x y 9 24 C b Now determine the area to the nearest tenth

Identify the missing reasons that will complete the following proof E G Given EG AM GA ME Prove GAME is a parallelogram Statements EG AM GA ME Draw EA M A Given Reasons Through any two points there exist exactly one line

8 What is the area of the circle given by x 1 y 64 to the nearest hundredth

d 7 2 r 4 6 3 Write the equation of circle B y x 6x 2y 26 then find the area and circumference to the nearest tenth 10 RS

6 If ACJW AAGS mLA 50 mLJ 45 and mLS 16x 5 what is the value of x F 17 5 G 11 875 H6 J5 45 A A 50 A4 16x 5

Given Prove A 4 BD AE BA CB 3 E DE CD B 1 2 D C

continuing from 1 What is the distance between the two points shown in the picture 4 O 3 O 5 03 2 Ay 2 2 2 4 X

What equation will help you find the distance d between the two points pictured here 4 1 2 2 1 d O 2 1 d O 1 2 d 01 2 d 2 2 A 2 4 X