a spherical ball has a diameter of 30 cm. what is the closest to the volume of the ball?

54
1 A spherical ball has a diameter of 30 cm. What is the closest to the volume of the ball? A.942 cm 3 B.7952 cm 3 C.14137 cm 3 D.113097 cm 3

Upload: claire-osborn

Post on 30-Dec-2015

23 views

Category:

Documents


1 download

DESCRIPTION

A spherical ball has a diameter of 30 cm. What is the closest to the volume of the ball?. 942 cm 3 7952 cm 3 14137 cm 3 113097 cm 3. Which is closest to the volume of the world’s largest candy corn in cubic feet:. 680.7 ft 3 274.9 ft 3 170.2 ft 3 70 ft 3. - PowerPoint PPT Presentation

TRANSCRIPT

1

A spherical ball has a diameter of 30 cm. What is the closest to the volume of the ball?

A. 942 cm3

B. 7952 cm3

C.14137 cm3

D.113097 cm3

2

Which is closest to the volume of the world’s largest candy corn in cubic feet:

A) 680.7 ft3

B) 274.9 ft3

C) 170.2 ft3

D) 70 ft3

3

Find the volume of the following triangular prism:

A. 216 cm3

B. 108 cm3

C. 90 cm3

D. 135 cm3

4

The net of a cylinder is shown below. Find the total surface area of the cylinder.

2in2in2in

5 in

2in

A.10 in2

B. 94.2 in2

C. 219.9 in2

D. 157 in2

5

Find the lateral surface area of the cylinder:

A. 1068.8 in2

B. 3740.7 in2

C. 24.3 in2

D. 153.9 in2

24.3 in

r = 7 in

6

Which statement best describes how the volume of a cube changes when the edge length is tripled (increased by a scale factor of 3) to form a new cube? (Example shown below)

3

9

A. The volume of the new cube is 1/3 the volume of the original cube

B. The volume of the new cube is 1/9 the volume of the original cube

C. The volume of the new cube is 27 times the volume of the original cube

D. The volume of the new cube is 3 times the volume of the original cube

7

Ricky has a circular garden with a diameter of 10. If he multiplies the diameter by a scale factor of ½ , how does the area of the new garden compare to the area of the original garden?

A. The area for the new garden is ½ the area of the original.

B. The area of the new garden is ¼ the area of the original.

C.The area of the new garden is twice the original.

D.The area of the new garden is four times the original.

8

If the dimensions of a rectangle with an area of 18 cm2 are tripled, what will be the area of the new rectangle?

A. The area of the new rectangle will be 36 cm2.

B. The area of the new rectangle will be 48 cm2.

C.The area of the new rectangle will be 72 cm2.

D.The area of the new rectangle will be 162 cm2.

9

A rectangular prism has a volume of 16 cubic cm. If the length, width, and height are all changed to ½ their original size, how does the volume of the new prism compare to the volume of the original prism?

A. The volume of the new prism is twice the volume of the original prism.

B. The volume of the new prism is ½ the volume of the original prism.

C.The volume of the new prism is ¼ the volume of the original prism.

D.The volume of the new prism is 1/8 the volume of the original prism.

10

A cylinder has a volume of 3 cm3. If you multiply double the height and double the radius, what is the new volume?

A. 6 cm3

B. 12 cm3

C.24 cm3

D.9 cm3

11

If a triangle is formed with the given side lengths, which would be a right triangle?

A. 5 in, 6 in, and 7 in

B. 9 in, 12 in, and 15 in

C. 25 in, 30 in, and 25 in

D. 12 in, 18 in, and 30 in

12

The three squares below form a right triangle. What is the area of the shaded square?

A. 5 cm2

B. 9 cm2

C. 25 cm2

D. 16 cm2

3 cm

3 cm

4 cm

4 cm

13

The Zilker Park Christmas Tree is 155 ft. tall and is made of 39 strands of lights that are 189 ft long. How far from the base of the tree is each strand attached?

A. 17 ft

B. 88 ft

C. 108 ft

D. 244 ft

155 ft189 ft

x ft

14

Classify the triangle by its angle measures and side lengths.

40 in

30 in

50 inA. Right Isosceles

B. Right Scalene

C. Acute Isosceles

D. Acute Scalene

15

Classify the triangle by its angle measures and side lengths.

A. Right Isosceles

B. Right Scalene

C. Obtuse Isosceles

D. Acute Isosceles

110o

16

A triangular shaped patio has sides of 30 ft., 24 ft. and 20 ft. There is a rocking chair in the corner that has the smallest angle. Which corner has the rocking chair?

A. The corner opposite the side that is 30 ft.

B. The corner opposite the side that is 24 ft.

C. The corner opposite the side that is 20 ft.

D. The chair is in the middle of the patio.

17

Which of the following side lengths would make a triangle with the two given sides?

A. 3 in.

B. 4 in.

C. 5 in.

D. 6 in.

12 in. 7 in.

18

Find the measure of the missing angles.

50o

70o

aoboA. a = 70o b = 110o

B. a = 70o b = 20o

C. a = 60o b = 30o

D. a = 60o b = 120o

19

Find the side lengths of the triangle below.

A. 10, 20 and 20

B. 15, 15 and 20

C. 10, 15 and 15

D. 10, 10 and 24

40o40o

4x - 2 2x + 4

4x + 12

20

1m

Angle Justification (Use the tool box)

  = _____

     

Find the missing angle measurement and justify your

answer using the tool box.

21

Find x Justification (Use the tool box)

 x = _____ 

    

Find the missing angle measurement and justify your

answer using the tool box.

22

135º

Q

R

S

45º

Use the diagram of a staircase railing to answer the

following:

Which is a true statement about the measure of angle QRS?

 

A)    It equals 45º by the Same Side Interior Angles Theorem

B)    It equals 135º by the Alternate Interior Angles Theorem

C)    It equals 45º by the Corresponding Angles Postulate

D) It equals 135º by the Alternate Exterior Angle Theorem

23

Find the value of x and measure of angle DEF.

x = _______________

= _______________ DEFm

24

Prove the Alternate Interior Angles Theorem is true by proving that 43

Given: BA ||

Statement / Conclusion Justification (use the tool box)

      

             

25

Find AB

A. 19.82

B. 12.87

C. 7.03

D. 7.67

26

Stephen is flying a kite with an angleof inclination of 33º. How much string must he let out if he wants the kite to be above a birdbath that is exactly 380 ft from where he is standing?

A.760 ft

B. 658 ft

C. 453 ft

D. 318 ft

27

Mario is the pilot of a plane that takes off and flies at an angle of inclination of 0.5º from Austin to El Paso. The distance on a map (ground) between Austin and Hawaii is 300 miles. Once he reaches El Paso his passenger sky dives from the plane. Find how far the passenger falls.

A. 2.6 miles

B. 1.5 miles

C. 0.8 miles

D. 2.0 miles

28

A wheelchair ramp makes an 8º angle with the ground. The length of the ramp is 20 feet, find out how high the ramp raises.

A.4.6 ft

B. 19 ft

C. 2.78 ft

D. 3.5 ft

29

Find BC

A. 8

B. 40

C. 9.5

D. 5.5

30

Mary buys 3 oranges and 4 apples for $2.76. Todd buys 1 orange and 5 apples for $2.24. What is the cost of 1

apple? What is the cost of 1 orange?

31

Solve the following system of linear

equations.

2 10

14

2

y x

y x

32

Barry and Ted collect vinyl records. Barry has three and a half times as many vinyl records as Ted. Together they have 1400 records. Which system of linear equations can be used to determine b, the number of vinyl records Barry

owns, and t, the number of vinyl records Ted owns?  A.  

B. 

C. 

D. 

33

Find the solution to the linear system:

34

Verizon charges $30 a month plus $0.10 per text. Sprint charges $35 plus $0.07 per text. How many texts would it take for a bill from both companies to be the same? How much would the bill be?

35

Which describes the parent function of the graph shown below?

A) QuadraticB) Absolute ValueC) CubicD) Linear

36

Which points best represent the solutions of the graphed quadratic equation shown below?

A) (0, -3), (2, -1)B) No SolutionC) (0, -1)D) (0, 0)

37

22 xy

28 2y x

If the graph of the original function is translated 5 units down, which of the following equations best represents the translation of each point on the curve?

25 2 xyThis is the graph of

A)

B) 25 3y x

25 7y x C)

B)

38

Which statement describes what happens to the graph of 2axy

A)The graph narrowsB)The graph widensC)The graph translates 7 units downD)The graph translates 7 units to the right

when the value of a is changed from 10 to 3?

39

What are the roots of the quadratic equation:

1242 xx

A)6 and -2B)-6 and 2C)-2 and -16D)-6 and -2

40

The circle graph shows the types of grass planted in the yards of one neighborhood.

Find measure of arc FGK.

41

Find the area of the shaded sector.

42

A windshield wiper blade is 15 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 112°?

43

Find the volume of the shaded sector of the cylinder with a height of 10m and a base shown below:

10m

44

Find the length of arc GF

45

-6 -5 -4 -3 -2 -1 1 2 3 4 5 6

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

x

y

43

1 xy

13

1 xy

13 xy

43 xy

A.

B.

C.

D.

1. The line below is translated three units down. What is the equation of the new line?

46

2. Write the equation of the linear function represented below by the table. Write the equation in slope intercept form: y = mx +b

x f(x)

-1 -8

0 -10

1 -12

2 -14

3 -16

102

1 xy

102 xy62 xy

62 xy

A.

B.

C.

D.

47

3. What is the slope of the line represented by the equation 1282 yx

4

1

2

4

1

2

A.

B.

C.

D.

48

4. Which of the following equations has a slope of –2 and passes through the point (1,3)?

53

1 xy

22 xy

32 xy12 xy

A.

B.

C.

D.

49

5. What is the slope of the line represented by the equation 623 yx

3

2

2

3

3

2

2

3

A.

B.

C.

D.

50

Which inequality best describes the graph shown below?

F)

G)

H)

J)

42

1 xy

42

1 xy

4x2

1y

42

1 xy

51

Which inequality best represents the line graphed below?

A)

B)

C)

D)

484 xy

484 xy

448 yx

448 yx

52

Steve borrowed money from his mother so that he could buy a chicken rotisserie. The table shows the remaining balance, b, of Steve’s loan after each payment.

Number of Payments, p Remaining balance, b

1 $950.00

2 $875.00

3 $800.00

4 $725.00

5 $650.00

Which equation represents the situation?

A)

B)

C)

D)

pb 751025

pb 751025

pb 75950

pb 75950

53

451510 dc

451510 dc

451510 dc

451510 dc

FYE is giving away a free pizza to anyone who spends over $45 on DVDs or CDs. CD's cost $10.00 each and DVDs cost $15.00 each. Which inequality best describes the number of CDs, c, and DVDs, d, that one would need to buy in order to get the free pizza?

F)

G)

H)

J)

54

dhe 09.025

dhe 9.025

dhe 259

dhe 925

Victor is a cars salesmen. He earns $25 per hour plus a commission of 9% of his total sales. Which equation represents e, his total earnings when he works h hours and sells a total of d dollars in cars?

A)

B)

C)

D)