Area Questions and Answers

19 A pentagon is divided into smaller parts as shown The numbers inside the triangles indicate their areas What is the area P of the shaded quadrilat eral A 15 B 31 2 C 16 D 17 E 18 3 9 2 P 5 8 4

of the b Assuming each section of the coordinate plane measures 1in What is the area of the shape Work 9x5 40 2 20 Area in 1 L S

Consider the Quadratic function f x 2x 61 80 Its vertex is

Point J lies on HI such that HJ I is 1 5 Graph J 204 18 16 14 12 10 8 6 4 2 N 8 10 12 1 6 18 20

5 A isosceles trapezoid B quadrilateral C kite D trapezoid

6 Choose the correct answer The surface area of this cylinder is 127 cm2 What would happen to the surface area if the dimensions were doubled r 1 cm h 5 cm The surface area would double to 247 cm The surface area would be squared to 1447 cm The surface area would remain at 12 cm The surface area would quadruple to 48 cm

Find the area of each quadrilateral in Exercises 45 46 45 15 2 cm 46 64 6 4 in 24 7 cm 105 7 in 16 in

Question 8 of 10 Josh took out a payday loan for 1300 that charged a 75 fee If the loan matures in 2 weeks what is the approximate effective interest rate of the loan A 330 B 430 C 33 D 43

Point M lies on KL such that KM LM is 4 1 Graph M 10 8 6 4 2 K 104 8 6 4 2 2 4 6 10 8 2 L 4 6 8

mole of calcium carbonate breaks down into calcium oxide and carbon dioxide based on the following ation Cac CaCO3 CaO CO2 9 Solve for the molar mass of calcium carbonate a 62 09 g mol B 100 1 g mol Ca 80xM fraiso C 140 2 g mol 176 81 0 84 0 D 180 3 g mol 1 0 31 8 0 and one

Solve the right triangle using the given information a 78 2 yd b 41 4 yd C B C a A c 88 5 yd Simplify your answer Type an integer or a decimal Round to the nearest tenth if needed O A 62 6 2 Simplify your answers Type integers Round to the nearest ten minutes if needed B 27 53 8

Line u passes through points 10 6 and 3 1 Line v passes through points 10 5 and 3 10 Are line u and line v parallel or perpendicular parallel perpendicular neither

Line m passes through points 8 8 and 10 3 Line n is perpendicular to m What is the slope of line n Simplify your answer and write it as a proper fraction improper fraction or integer

Line c has a slope of of perpendicular parallel 5 Line d has a slope of f 2 4 Are line c and line d parallel or perpendicular neither

Determine the x coordinate of the centroid for the shape below Shape 3 is cut out of the overall shape it is empty space 1 Shape 1 base 9 cm height 5 cm Shape 2 base 7 cm height 5 cm Shape 3 located in the center of shape 1 2

Quadrilateral M is a scaled copy of quadrilateral L What scale factor takes quadrilateral L to quadrilateral M Write the number only 18 36 Quadrilateral L 18 A Quadrilateral M

4 PREPARING FOR TOMORROW 8 07 Review Determine the lengths of v and w in the figure below 5 3 60 W

Find the slope of the line y 5x 18

6 The region bounded by the parabolas y2 5x and y 1024 is rotated about the 15 The outer surface area of the resultant r axis The two curves intersect at x solid is 16

Graph the rational function 4x 6x 3 6x 9 Start by drawing the asymptotes Then plot two points on each piece of the graph Finally click on the graph a function button 1

P O 82 151 N NOPQ WXUV What is PQ Q U 32 mm X 67 48 mm 45 mm 60 W 10 mm

LVTWZWTU Find k the length of TU The drawing may not be to scale Round to two decimal places as necessary T 8 V Show your work here 3 k W 8 U

AQRSATUV Solve for z V 65 Show your work here S 6 T Q 50 U 13 10 R

Question 12 Find the quadratic equation of the graph below in parabolic form Use the boxes to enter in the appropriate sign and value Enter value in as whole number or as a fraction T 4 A 0 2 8 pts

H A m B m 31 3 C m 31 6 D m M 31 6 31 3 2 11 45 1 E A m 31 3 11 Question 37 1 point Find the missing side lengths Leave your answers as radicals in simplest form 10 31 3 2 m 237 2 12 n 474

For problems 1 4 find the value of x Write your answer as a number only do NOT put x Question 4 4x 2 19 4x 8 2 pts

A circle with center O has a diameter of 26 cm A chord PQ is 24 cm in length How far is the chord from the center of the circle

Find the length of side X in the figure shown below Area 91 18 cm X 9 7

8 Find the values of x and y MGSE9 12 G C 2 A C a x 34 y 21 b x 180 y 42 B c x 90 y 21 d x 90 y 42

the table below list the weight and sodium content for one slice of a 12 inch medium cheese pizza One slice represents 1 8 of the total pizza Wangs g Sodium mg 520 540 550 240 Brand Pizza Hut Pan Pizza Pizza Hut Thin N Crispy Pizza Hut Hand Tossed Domino s Thin Crust Domino s Deep Dish Domino s Hand Tossed Papa John s Original Crust Papa John s Pan Crust a b s c y c d S Weight 95 e n 75 92 55 95 82 1 Weight is the X sodium is the 4 2 Plot the ordered pairs on the properly labeled grid 3 Find each of the following values X 94 146 530 360 510 750 variable and variable 850 960 750 6 For the point 55 240 what is the residual 94 000 760 650 600 650 50 450 350 500 2 5 200 be prestavby X Sy Noki r 5 Find the predicted amount of sodium for a pizza weighing 100 grams sepert Swa Ring Berg F donarmiarknuddaterin autorow A Re Fax Foto E 55 65 75 95 95 200 115 125 135 145 155 165 175 4 Find the least squares regression line and the correlation coefficient Then draw the line on the scatterplot Equation 5 13x 32 79 7 If pepperoni is added to each slice then the weight increases by 40 grams and the sodium content increases by 140 milligrams Which of the values a b r would change

UV TW Find c U 2 T 2 S 6c 2 W 17c 13

4 Determine co S in the cases shown in Figs c and d In d S consists of the four dots Figure c Figure d

The graph f x x is shifted down 4 and to the right 1 and reflected over the x axis Which of the follo function of the resulting transformation h x x 1 4 Bh x x 1 4 h x x 1 4 Dh x x 1 4

15 A function is shown A Which expression is equivalent to g x in the equation f g x x 5 x 12 5 x 12 c 5x 12 B a 12 5 D 5x 12

9 Use long division or synthetic division to divide the given polynomial x 17x 32 x 5 A x 5x 8 00 00 B x 5x 8 x r 52 8 Dx 10x 2 8 x 5 8 x 5 18 x 5

3 Which of these is the equivalent form of the expression x 216 A x 6 x 6x 36 B x 6 x 6x 36 x 6 x 6x 36 D x 6 x 6x 36

6 Solve the equation 3 26 20 6 2 8 B 6 8 8

7 A The function g x shown in the graph is a tranformation of the parent function f x x y C 987654321 8 g x x 1 2 4 B g x x 1 4 g x x 4 1 6 5 3 2 1 11 4 10 9 8 7 6 5 4 3 2 10 What is the equation of the function 2 3 23 x g x

3 Find the solutions using the quadratic formula 4z 6x 18 x 3 2 x 2 3 X D X 6 3 6 3 2 2

D 30 100 50 R 7 Circle B is shown with various points located on it Which angle is a central angle of this circle Explain 1 ZDAE 8 In the diagram QT is a diameter and minor arc ST measures 63 a What is mQS Show your work b What is mTRS Show your work C 2 ZCEB diagral 3 ZCBA 4 ZACB 16 ON mCB 50 M 9 In OR segments EB and AC are two diameters Find the following arc measures Show your work mEA 30 m DC 100 MAB 130 m DEB SO mCDA 63 MA

Find cos C given the triangle If necessary round to three decimal places 12 Show your work here 12 2 C 2 2

centimeters Round to Find the area of each circle with radius r or diameter d Use 3 14 for T Round answers to the nearest tenth 16 r 7 mm 18 d 37 cm 17 d 22 yd 19 r 5 3 ft Find the circumference of the circle with the given area A Use 3 14 for T 21 A 153 86 cm

18 d 37 cm Find the circumference of the circle with the given area A Use 3 14 for T 21 A 153 86 cm 20 A 379 94 in 22 A 1256 mm 23 A 19 625 ft use the figure which shows two circles with the sa ed region

Find the circumference of each circle with the given radius r or diameter d Use 3 14 for T Round answers to the nearest hundredth 10 A circle with r 4 in 11 A circle with d 7 5 m 12 A circle with r 16 2 mm 13 A circle with d 15 cm

10 The central angle of a sector is 60 and the area of the circle is 1447 What is the area of the sector

1 A circle has a radius of 12 Find the area of the sector whose central angle is 120

Find the area of each sector Rom 11 11 cm 150

Plot the point 8 5 Click on the graph to plot a point Click a point to delete it 10 9 8 7 6 5 4 3 2 1 10 9 8 y 7 6 01 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10

00 C Yes 17 No 15 Determine whether each equation is correct Drag and drop Yes or No into the box next to each equation sin A cos A B sin B cos B 15 17 17 8 8 15 15 Yes No 1000 Juve

An oblique cone has a radius of 13 units and a volume of 31 cubic units What is the height of the cone Show your work here