Area Questions and Answers

Use the discriminant to determine whether the quadratic equation has two unequal real solutions a repeated real solution or no real solution without solving the equation x2 6x 5 0

3 5 Similar Triangles 3 Save for the variable Show Your work 2x 10 DO 6 15 14 10 8 DO 20 4x 3 Nome 3x 3 3 2x 12

Area of a recta Find the area of the f Write your answer in Be sure to include the

In the figure below 7 m Find x 147 80 to

4 om 1 point 2x 22 is ONE external angle of the polygon Solve for x 5 Type your answer 2x 22 1 point Find the sum of the moncures of the interior anales of a no

16 12 km 16 cm 13 Ima 12 cm 17 7 yd 10 yd 17 mi 11 yd

Question 3 14 3 points Consider the following measures of the segments shown in the diagram BF 8 cm DF 4 cm GF 12 cm GC 13 cm Triangle GFC is a right triangle What is the length of FE 8 cm 9 cm 10 cm 11 cm B E 8 F x 12 G D 13 C Figure may not be drawn to scale

Question 2 14 3 points Consider the following measures of the segments shown in the diagram CF 9 cm EF 6 cm DF 12 cm Determine the length of the segment BF 8 cm 9 cm 9 6 cm 10 2 cm B E 6 M FL 12 9 C Figure may not be drawn to scale

Question 4 14 3 points Consider the following measures of the segments shown in the diagram CE 20 cm AB 15 cm CB 10 cm Figure may not be drawn to scale Determine the length of the segment CD 7 5 cm 11 cm 12 5 cm 13 3 cm 10 D 20 B 15

Espa ol The circumference of a circular field is 244 yards What is the diameter of the field Round your answer to the nearest hundredth If necessary refer to the list of geometry formulas xards

Find the value of x 72 85 77 x

The table below gives the atomspheric pressure P f h in torr at an elevation of h km above the earth s surface h km 0 2 4 6 P torr 760 571 426 320 a Complete the table with the average rates of change of f over the given interval Interval Rate of change AP 0 h 2 X 2 h 4 X 4 h 6 X

Two parallel lines are cut by a trans Suppose m2 104 Find m45

Which line has a slope of M A Line A Line B C Line C Line D B

Identifying corresponding and alternate Give a pair of alternate exterior angles a pair 2 m

Identifying correspon Give a pair of alternate interi

Lessons 2 1 to 2 3 Solve each equation LA 4 10 5 8 5 14 2 91 8 2 Sp 3 13 6 6 t 5 36 10 7h 2h 3 15 14 3 5 1 18 13 8 10g 4 18 3 6 17 0 1 h 20 3 Define a variable and write an equation for each situation 3 8j 5 j 67 7 m 9 11 11 32x 14 15 3 c 4 9 19 4 y 10 4 6r 42 8 5 5 7 5 12 3r 8 32 16 z 9 20 8q 2q 7 4

4 A toy shop sells baby rattles in green and yellow For every two green rattles the toy shop sells it sells 7 yellow rattles If the company sells 108 rattles how many yellow rattles did they sell

Explain what is misleading about the graphic below See how the volume of our sales has doubled Select one O a The length of a side has doubled but the area has been multiplied by 4 O b The length of a side has doubled but the area has been multiplied by S The graphic is not misleading O C

Suppose an instructor gave a 15 item quiz and weighted each item 1 point The mean scor on the test was 10 points and the standard deviation was 3 points On this quiz the scores correlation with scores on a preceding quiz was 56 Suppose the instructor later decided that each item should have received a weight of 5 points and so multiplied every examinee score by 5 How many times larger is the standard deviation of the new scores

Identify the area of the rhombus 51 ft 190 ft A 2 160 ft O A 4 590 ft O A 4 320 ft O A 2 295 ft

18 1 point Kaleigh plans to prove the diagonals of a paralle the parallelogram W

the following t 44 3 a Find the reference number t for the value of t t b Find the terminal point determined by t D x y

Find the missing coordinate of P using the fact that P lies on the unit circle in the given quadrant Coordinates Quadrant II

3 The base of a triangle is 8 ft less than its height If the area is 120 ft find the base and the height of this triangle Use an equation to solve this problem Hint Area of a Triangle base height 2 The answer to this problem is not provided However you can verify that your answer satisfies the conditions of the problem

Identify the area of the trapezoid 7 cm 12x cm 15x cm O A 94 5x2 cm O A 189x cm O A 189x cm O A 94 5x cm

7 5 y For both figures A 6 4 3 2 1 16 units O For both figures A 6 4 3 3 2 18 units For both figures A 12 4 2 2 2 22 units O For both figures A 6 4 2 2 1 15 units same area 7 X

Find the equation of the line that contains the point 4 6 and is parallel to the line y 4x 2 Write the line in slope intercept form Graph the lines 43 The equation of the parallel line is Simplify your answer Type your answer in slope intercept form Use integers or fractions for any numbers in the equation

C www awu ale Simil Find the leng

Monthly Expenditures Apre 28 00 Car Loan 200 00 Electricity 44 00 Mortgage 1000 00 Which listed expenditures are variable March 25 00 200 00 38 00 1000 00 A Electricity and Water B Car Loan and Electricity C Car Loan and Mortgage D Water and Car Loan May 37 00 200 00 38 00 1000 00

In the United States most building codes limit the steepness of the slope of a roof to 4 3 as shown at the right A builder wants to put a support brace from point C perpendicular to AP Find the length of the brace Round to the nearest tenth 5 yd 3 yd 4 yd B

Identify the area of the figure 15 cm 4 cm 168 cm 184 cm 2 O 151 cm O 135 cm 13 cm 20 cm 7 cm

3 cm 5 cm O90 3 cm 95 1 cm 91 5 cm O 116 3 cm 5 in 21 cm Identify the area of the figure rounded to the nearest tenth 8 in

entify the area of a regular pentagon with side length 11 cm Round to the nearest A702 7 cm A 832 7 cm OA 208 2 cm A 52 0 cm

Identify the area of the rhombus d 2x 8 m d x 2 m O A x 4x 16 m O A 2x 4x 16 m O A 2x 8x 16 m O A x2 2x 8 m

20 When solving a proof for the Side Splitter Theorem what postulates are used Select al Angle Side Angle Postulate Side Angle Side Postulate Angle Angle Similarity Postulate Segment Addition Postulate

Geometry GMD 3 Name 20 23 Kuta Software LLC All rights reserved Volume of Cones Practice Date Find the volume of each figure Round your answers to the nearest whole if necessary 1 3 5 4 km 20 m 6 yd 10 m 10 yd 4 km S 4 12 ft 14 km 22 ml 11 mi 6 ft 14 km

8 The flight path of a jet at takeoff makes an angle of 14 with the ground Find the distance along the flight path that it has flown when it has covered a horizontal distance of 1500 feet

Determine the length of the hypotenuse 30 Hypotenuse is 16

The diameter of a circle is 8 meters What is the area of a sector bounded by a 54 arc 54 d 8 m Give the exact answer in simplest form J square meters

Use the figure below which shows the graph of y f x Click on the A Estimate the integral f f x dx 4 You will certainly want to use an enlarged version of the gi B Which of the following average values of f is larger A Between x 3 and x 0 B Between x 3 and x 3 110 110

In circle V WX is highlighted WX measures 54 54 W X 1 in What fraction of the circle is highlighted Simplify your answer 3 20 Which expression represents the length of WX in inches 17 27 20 27

In circle V a sector is shaded DE m E V 3 0 135 3 cm What fraction of the interior of the circle is shaded Simplify your answer 1 9m D Which expression represents the area of the shaded sector in square centimeters 67 6

The radius of a circle is 8 inches What is the area of a sector bounded by a 180 are r 8 in A Give the exact answer in simplest form square inches 180 ola

Pequot Lakes Minnesota has a spherical water tower that known as the world s largest fishing bobber The water tower holds 6 684 cubic feet of water The water tower needs to be repainted and it will have to be painted twice to get two coats of coverage One gallon of paint can cover 350 square feet How many gallons of paint will be needed to paint the water tower 6 total points 3 for work finding the radius 2 for finding the surface area 1 for gallons of paint

x ydx xdy for the following figure Ans A region 13 6 D and is bounded by simple closed curves C y 9x y x 3 x y 0 in a counter clockwise orientation Use Green s theorem to evaluate int C left x 2 y 2 right d x left 2

John wants to paint his room by planning to mix blue paint and yellow paint but he canno decide which of the following two paint mixtures will make a bluer shade Which mixture will make a darker blue A mixture of 5 parts blue to 3 parts yellow A mixture of 6 parts blue to 4 parts yellow Choose the correct answer below O A The second mixture will make a bluer shade O B Both mixtures will make the same blue shade C The first mixture will make a bluer shade

OALOC and OBLOD Which of the non right angles formed in the diagram are congruent Justify your answer c

The diameter of a circle is 10 kilometers What is the angle measure of an arc kilometers long km d 10 km Give the exact answer in simplest form

9 6x2y 28xy 30y