1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X,...

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1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

description

A vertical antennae tower is supported by a wire that runs from the top of the tower to the ground. If the wire makes an angle of 62° with the ground and is 575 yards long, how tall is the tower? (A) (B) (C) (D) (E) 575 cos 62° 575 sin 62° 575 tan 62°

Transcript of 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X,...

Page 1: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

1

(A) 9

(B) 3X

(C) 9X

(D) 9X2

(E) 3X2

A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

Page 2: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

19 What is the freight charge for transporting seven drums of motor oil weighing 165 pounds each, if the charge is 50 cents per pound?

(A) $95.60 (B) $255.63

(C) $361.25 (D) 484.80

(E) $577.50

Page 3: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

A vertical antennae tower is supported by a wire that runs from the top of the tower to the ground. If the wire makes an angle of 62° with the ground and is 575 yards long, how tall is the tower?

(A)

(B)

(C)

(D)

(E)

575 cos 62°

575 sin 62°

575 tan 62°

62cos575

62sin575

Page 4: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

The volume of a rectangular carton with a square base is 36 cubic feet. If the height of the carton is 24 inches, how many feet are there on each side of the base?

(A)

(B)

(C)

(D)

(E) 18

9

33

23

32

Page 5: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

An investment of $7,000 earns $800 each year. At the same rate, how much must be invested to earn $1,200 a year?

(A)

(B)

(C)

(D)

(E)

$7,800

$10,500

$10,700

$11,500

$11,700

Page 6: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

If the angles of a given triangle are in a ratio of 2 : 3 : 4. What type of triangle is it?

(A)

(B)

(C)

(D)

(E)

equilateral

isosceles

right

obtuse

acute

Page 7: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

If 2x + 5y = 12, then 6x + 15y =(A)

(B)

(C)

(D)

(E)

18

24

36

42

Cannot be determined

Page 8: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

The value of an investment after one year was $24,000. The increase in value during the year was $6,000. What was the percent of increase in the value of the investment?

(A)

(B)

(C)

(D)

(E)

12.5%

25%

33.3%

50%

66.7%

Page 9: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

Of the 200 members of a club, 30% are women, and of these ¼ are new members. If the number of men that are new members is three times the number of women that are new members, how many men are new members?

(A)

(B)

(C)

(D)

(E)

10

15

30

25

45

Page 10: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

Of the 200 members of a club, 30% are women, and of these ¼ are new members. If the number of men that are new members is three times the number of women that are new members, how many men are new members?

(A)

(B)

(C)

(D)

(E)

10

15

30

25

45

Page 11: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

What is the area of the parallelogram shown?

(A)

(B)

(C)

(D)

(E) 36

218

318

18

32

12630°

Page 12: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

Mr. Tower takes 8 hours to drive from New York City to Buffalo. What fractional part of the drive still remains after he has driven x hours?

(A)

(B)

(C)

(D)

(E) xx

x

xx

x

x

8

8 8

8

8

8

Page 13: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

The value of an investment after one year was $24,000. The increase in value during the year was $6,000. What was the percent of increase in the value of the investment?

(A)

(B)

(C)

(D)

(E)

12.5%

25%

33.3%

50%

66.7%

Page 14: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

(A)

(B)

(C)

(D)

(E)

18

24

36

42

Cannot be determined

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x75

40

A B C

D E

Find the value of x if DE | | AC

(A) 20 (B) 35 (C) 52.5 (D) 60 (E) 65

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16

(A)

(B)

(C)

(D)

(E)

xx

xx 183 36

2

2

xx3

)6(

Perform the indicated operation and express the result in lowest terms.

xx3

)6(

3)6( x

)6(3x

3)6( x

Page 17: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

17

(A) 208

(B) 200

(C) 32

(D) 10

(E) 2

23 46

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Express 0.005 as a percent

(A) 0.5%

(B) 0.05%

(C) 0.005%

(D) 0.0005%

(E) 0.00005%

Page 19: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

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(A) The circumference and area are both quadrupled.

(B)The circumference is quadrupled and the area is multiplied by 8.

(C) The circumference is quadrupled and the area is multiplied by 16.

(C) The circumference is multiplied by 16 and the area is multiplied by 32.

(D) The circumference and the area are both multiplied by 16.

If the radius of a circle is quadrupled, then

Page 20: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

20

If , then a possible

value of x is(A) 110

(B) 52

(C) -5

(D) -52

(E) -110

357

xx

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(A) 5/8.

(B) 2/6

(C) 2/3

(D) 11/16

(E) 3/4

A coin purse contains 7 pennies, 4 nickels, and 5 dimes. If one coin is removed from the purse at random, what is the probability that the coin is either a dime or a penny?

Page 22: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

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(A)

(B)

(C)

(D)

(E)

423 )3( Simplify cba

58781 cba

481212 cba

56781 cba481227 cba481281 cba

Page 23: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

23

In the right triangle PQR below, what is the value of cos Q?

P

3

Q 7 R

5858 )(

58585 )(

58587 )( 7

3 )( 27 )(

ED

CBA

Page 24: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

24

Which of the following fractions is the largest?

54

119

98

87

43(A)

(B)(C)(D)(E)

Page 25: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

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A secretary is paid time and a half for working overtime. Last week, he earned $297 for working 9 hours of overtime. What is his regular hourly salary?

(A) $12 (B) $18(C) $22 (D) $26(E) $33

Page 26: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

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DBABCE

CBDA

CBDAC

DBBCA

BDBCADCBA

xDxCxBA

)(

D )(

B A

? and ,,,of in terms to,equal is what ,)( If

Page 27: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

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A used fax machine is purchased for $225. This was 45% of the machine’s original price. What was the machine’s original price?

(A) $200 (B) $300 (C) $400

(D) $500 (E) $620.32

Page 28: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

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(A)

(B)

(C)

(D)

(E)

Page 29: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

29

What is the area, in square inches, of the figure shown below?

12 inches

3 inches

8 inches

5 inc

hes

(A) 18

(B) 30

(C) 36

(D) 44

(E) 60

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Page 31: 1 (A) 9 (B) 3X (C) 9X (D) 9X 2 (E) 3X 2 A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

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AD

C

B

E

80°60°

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33

40°

65°

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