Question 1

A machinist must follow a part drawing with scale 1 to 24. Find the dimensions of the finished stock shown in the illustration. That is, find lengths A, B, C, D.

Accepted Answer

A)  A = 74 in., B = 11 in., C = 54 in., D = 5 in. 
B)  A = 10 in., B = 74 in., C = 52 in., D = 5 in. 
C)  A = 74 in., B = 10 in., C = 52 in., D = 4 in. 
D)  A = 4 in., B = 52 in., C = 10 in., D = 74 in. 
E)  A = 74 in., B = 10 in., C = 4 in., D = 52 in. 
A)  A = 74 in., B = 11 in., C = 54 in., D = 5 in. 
B)  A = 10 in., B = 74 in., C = 52 in., D = 5 in. 
C)  A = 74 in., B = 10 in., C = 52 in., D = 4 in. 
D)  A = 4 in., B = 52 in., C = 10 in., D = 74 in. 
E)  A = 74 in., B = 10 in., C = 4 in., D = 52 in.

Question 2

Find the length of the hypotenuse in the triangle. Use the rules for working with measurements.   c =__________ m

Accepted Answer

The answer of Find the length of the hypotenuse in...

Question 3

Suppose ∠3 = 36° and ∠7 = 92°. Find the measure of angle ∠5.

Accepted Answer

A)  87° 
B)  184° 
C)  77° 
D)  92° 
E)  67° 
A)  87° 
B)  184° 
C)  77° 
D)  92° 
E)  67°

Question 4

How many degrees are in a central angle whose arc is $\frac { 1 } { 6 }$ of a circle?

Accepted Answer

A)  $4$ ° 
B)  $240$ ° 
C)  $270$ ° 
D)  $60$ ° 
E)  $90$ ° 
A)  $4$ ° 
B)  $240$ ° 
C)  $270$ ° 
D)  $60$ ° 
E)  $90$ °

Question 5

Find x and y to three significant digits using the formula s = rΘ (Θradians).

Accepted Answer

A)  x = 106.667; y = 400 
B)  x = 40; y = 67.021 
C)  x = 33.51; y = 125.664 
D)  x = 67; y = 251.327 
E)  x = 10.7; y = 40 
A)  x = 106.667; y = 400 
B)  x = 40; y = 67.021 
C)  x = 33.51; y = 125.664 
D)  x = 67; y = 251.327 
E)  x = 10.7; y = 40

Question 6

A piece of sheet metal in the shape of a parallelogram has a rectangular hole in it, as shown in the illustration below.   Find the area of the piece that was punched out. $A _ { P } =$ __________ $\operatorname { in } ^2$ Find the area of a metal that is left. $A _ { L } =$ __________ $\operatorname { in }^ 2$

Accepted Answer

The answer of A piece of sheet metal in the...

Question 7

The resistor current is 50.4 A. The coil current is 65.5 A. Find the total current. (See illustration.) Use the rules for working with measurements.   __________ A

Accepted Answer

The answer of The resistor current is 50.4 A. The...

Question 8

In the illustration, quadrilaterals ABCD and WXYZ are similar rectangles. AB = 20, BC = 12, and XY = 15. Find YZ.

Accepted Answer

A)  YZ is equal to 7. 
B)  YZ is equal to 9. 
C)  YZ is equal to 7.5. 
D)  YZ is equal to 16. 
E)  YZ is equal to 10. 
A)  YZ is equal to 7. 
B)  YZ is equal to 9. 
C)  YZ is equal to 7.5. 
D)  YZ is equal to 16. 
E)  YZ is equal to 10.

Question 9

Change 140 o to radians, and round the result to three significant digits.

Accepted Answer

A)  4.887 rad 
B)  2.443 rad 
C)  8,020 rad 
D)  2.843 rad 
E)  1.222 rad 
A)  4.887 rad 
B)  2.443 rad 
C)  8,020 rad 
D)  2.843 rad 
E)  1.222 rad

Question 10

A spherical tank for liquefied petroleum is 16 in. in diameter. What is the ratio of surface area to the volume of the tank?

Accepted Answer

A)  $\frac { \pi } { 8 }$ 
B)  $\frac { 8 } { 3 }$ 
C)  $\frac { 2 } { 1 }$ 
D)  $\frac { 3 } { 8 \pi }$ 
E)  $\frac { 3 } { 8 }$ 
A)  $\frac { \pi } { 8 }$ 
B)  $\frac { 8 } { 3 }$ 
C)  $\frac { 2 } { 1 }$ 
D)  $\frac { 3 } { 8 \pi }$ 
E)  $\frac { 3 } { 8 }$

Question 11

A pipe has a 4.05-in. outside diameter and a 3.8-in. inside diameter. (See the illustration.) Find the area of its cross section. Use the rules for working with measurements.

Accepted Answer

A)  The area is 0.785 in 2. 
B)  The area is 3.08 in 2. 
C)  The area is 0.771 in 2. 
D)  The area is 6.17 in 2. 
E)  The area is 1.54 in 2. 
A)  The area is 0.785 in 2. 
B)  The area is 3.08 in 2. 
C)  The area is 0.771 in 2. 
D)  The area is 6.17 in 2. 
E)  The area is 1.54 in 2.

Question 12

Find the area and perimeter of the triangle. Use the rules for working with measurements.   area = _________ $m ^ { 2 }$ perimeter = __________m

Accepted Answer

The answer of Find the area and perimeter of the...

Question 13

Name the polygon.

Accepted Answer

A)  nanogon 
B)  quadrilateral 
C)  hexagon 
D)  pentagon 
E)  triangle 
A)  nanogon 
B)  quadrilateral 
C)  hexagon 
D)  pentagon 
E)  triangle

Question 14

How many degrees are in a central angle whose arc is $$\frac { 1 } { 8 }$$ of a circle?
__________ °

Accepted Answer

The answer of How many degrees are in a central...

Question 15

A mechanic plans to build a storage garage for 92 cars. Each car needs a space of 15 ft by 10 ft. Find the floor area A of the garage. At a cost of $\$ 22 / \mathrm { ft } ^ { 2 }$ , find the cost C of the garage.

Accepted Answer

A)  $A = 13,800 \mathrm { ft } ^ { 2 }$ 
B)  $A = 2,300 \mathrm { ft } ^ { 2 }$ 
C)  $A = 13,805 \mathrm { ft } ^ { 2 }$ 
D)  $C = \$ 50,600$ 
E)  $C = \$ 304,100$
F) $C = \$ 303,600$ 
A)  $A = 13,800 \mathrm { ft } ^ { 2 }$ 
B)  $A = 2,300 \mathrm { ft } ^ { 2 }$ 
C)  $A = 13,805 \mathrm { ft } ^ { 2 }$ 
D)  $C = \$ 50,600$ 
E)  $C = \$ 304,100$
F) $C = \$ 303,600$

Question 16

How many gallons of water can be stored in the spherical portion of the water tank shown in the illustration? (7.48 gal = 1 ft 3) Round your answer to the nearest thousand.

Accepted Answer

A)  328,000 gallons 
B)  583,000 gallons 
C)  582,000 gallons 
D)  573,000 gallons 
E)  590,000 gallons 
A)  328,000 gallons 
B)  583,000 gallons 
C)  582,000 gallons 
D)  573,000 gallons 
E)  590,000 gallons

Question 17

Follow the rules for working with measurements. A welder is assigned to fabricate luggage storage compartments to fit in the luggage storage area of an aircraft. What is the cubic foot displacement of the compartment shown in the illustration? Find the area of the pieces of metal that will be used to fabricate each compartment. Give your answers in feet and round them to the nearest tenth.

Accepted Answer

A)  A = 11,208.3 ft 2 
B)  V = 18,283.1 ft 3 
C)  A = 6743.7 ft 2 
D)  V = 16,034.5 ft 3 
E)  V = 13,934.3 ft 3
F) A = 10,081.1 ft 2
G) A = 7,743.8 ft 2
H) V = 12,700 ft 3 
A)  A = 11,208.3 ft 2 
B)  V = 18,283.1 ft 3 
C)  A = 6743.7 ft 2 
D)  V = 16,034.5 ft 3 
E)  V = 13,934.3 ft 3
F) A = 10,081.1 ft 2
G) A = 7,743.8 ft 2
H) V = 12,700 ft 3

Question 18

You are designing a dome house in the shape of a hemisphere with a 37 ft outside diameter. If the walls are 12 in. in thick, what is the weight of this house? Concrete weighs 148 lb/ft 3. Assume doors and windows cover 15% of the house.

Accepted Answer

A)  257,000 lb 
B)  254,000 lb 
C)  256,000 lb 
D)  259,000 lb 
E)  541,000 lb 
A)  257,000 lb 
B)  254,000 lb 
C)  256,000 lb 
D)  259,000 lb 
E)  541,000 lb

Question 19

Find x and y to three significant digits using the formula s = r? (? in radians).   $$\begin{array} { | c | c | c | } 
\hline \text { Radius, } r & \text { Angle, } \Theta & \text { Distance, } s \
\hline 12 \mathrm {~cm} & 55 ^ { \circ } & x \mathrm {~cm} \
\hline 16 \mathrm {~mm} & 70 ^ { \circ } & y \mathrm {~mm} \
\hline
\end{array}$$

Accepted Answer

A)  x = 3.667; y = 6.222 
B)  x = 11.519; y = 19.548 
C)  x = 36.189; y = 61.411 
D)  x = 115.192; y = 195.477 
E)  x = 36.189; y = 6.222 
A)  x = 3.667; y = 6.222 
B)  x = 11.519; y = 19.548 
C)  x = 36.189; y = 61.411 
D)  x = 115.192; y = 195.477 
E)  x = 36.189; y = 6.222

Question 20

Given $$\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }$$ , find the measure of ∠1.   __________°

Accepted Answer

The answer of Given \[\overline { \mathrm { AB }...

A machinist must follow a part drawing with scale 1 to 24. Find the dimensions of the finished stock shown in the illustration. That is, find lengths A, B, C, D.

Find the length of the hypotenuse in the triangle. Use the rules for working with measurements. c =__________ m

Suppose ∠3 = 36° and ∠7 = 92°. Find the measure of angle ∠5.

How many degrees are in a central angle whose arc is $\frac { 1 } { 6 }$ of a circle?

Find x and y to three significant digits using the formula s = rΘ (Θradians).

The resistor current is 50.4 A. The coil current is 65.5 A. Find the total current. (See illustration.) Use the rules for working with measurements. __________ A

In the illustration, quadrilaterals ABCD and WXYZ are similar rectangles. AB = 20, BC = 12, and XY = 15. Find YZ.

Change 140 ^o to radians, and round the result to three significant digits.

A spherical tank for liquefied petroleum is 16 in. in diameter. What is the ratio of surface area to the volume of the tank?

A pipe has a 4.05-in. outside diameter and a 3.8-in. inside diameter. (See the illustration.) Find the area of its cross section. Use the rules for working with measurements.

Find the area and perimeter of the triangle. Use the rules for working with measurements. $Find the area and perimeter of the triangle. Use the rules for working with measurements. area = ___ m ^ { 2 } perimeter = m$ area = _ $m ^ { 2 }$ perimeter = ______m

Name the polygon.

How many degrees are in a central angle whose arc is $\frac { 1 } { 8 }$ of a circle? __________ °

A mechanic plans to build a storage garage for 92 cars. Each car needs a space of 15 ft by 10 ft. Find the floor area A of the garage. At a cost of $\$ 22 / \mathrm { ft } ^ { 2 }$ , find the cost C of the garage.

How many gallons of water can be stored in the spherical portion of the water tank shown in the illustration? (7.48 gal = 1 ft ³) Round your answer to the nearest thousand.

You are designing a dome house in the shape of a hemisphere with a 37 ft outside diameter. If the walls are 12 in. in thick, what is the weight of this house? Concrete weighs 148 lb/ft ³. Assume doors and windows cover 15% of the house.

Find x and y to three significant digits using the formula s = r? (? in radians). Radius, r Angle, \Theta Distance, s 12 5 x 16 7 y

Given $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }$ , find the measure of ∠1. $Given \overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , find the measure of ∠1. °$ °

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 12: Geometry

A machinist must follow a part drawing with scale 1 to 24. Find the dimensions of the finished stock shown in the illustration. That is, find lengths A, B, C, D.

Find the length of the hypotenuse in the triangle. Use the rules for working with measurements. c =__________ m

Suppose ∠3 = 36° and ∠7 = 92°. Find the measure of angle ∠5.

How many degrees are in a central angle whose arc is 16\frac { 1 } { 6 }61​ of a circle?

Find x and y to three significant digits using the formula s = rΘ (Θradians).

The resistor current is 50.4 A. The coil current is 65.5 A. Find the total current. (See illustration.) Use the rules for working with measurements. __________ A

In the illustration, quadrilaterals ABCD and WXYZ are similar rectangles. AB = 20, BC = 12, and XY = 15. Find YZ.

Change 140 o to radians, and round the result to three significant digits.

A spherical tank for liquefied petroleum is 16 in. in diameter. What is the ratio of surface area to the volume of the tank?

A pipe has a 4.05-in. outside diameter and a 3.8-in. inside diameter. (See the illustration.) Find the area of its cross section. Use the rules for working with measurements.

Find the area and perimeter of the triangle. Use the rules for working with measurements. area = _________ m2m ^ { 2 }m2 perimeter = __________m

Name the polygon.

How many degrees are in a central angle whose arc is 18\frac { 1 } { 8 }81​ of a circle? __________ °

A mechanic plans to build a storage garage for 92 cars. Each car needs a space of 15 ft by 10 ft. Find the floor area A of the garage. At a cost of $22/ft2\$ 22 / \mathrm { ft } ^ { 2 }$22/ft2 , find the cost C of the garage.

How many gallons of water can be stored in the spherical portion of the water tank shown in the illustration? (7.48 gal = 1 ft 3) Round your answer to the nearest thousand.

You are designing a dome house in the shape of a hemisphere with a 37 ft outside diameter. If the walls are 12 in. in thick, what is the weight of this house? Concrete weighs 148 lb/ft 3. Assume doors and windows cover 15% of the house.

Find x and y to three significant digits using the formula s = r? (? in radians). Radius, r Angle, \Theta Distance, s 12 5 x 16 7 y

Given AB‾∥CD‾\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }AB∥CD , find the measure of ∠1. __________°

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

How many degrees are in a central angle whose arc is $\frac { 1 } { 6 }$ of a circle?

Change 140 ^o to radians, and round the result to three significant digits.

Find the area and perimeter of the triangle. Use the rules for working with measurements. $Find the area and perimeter of the triangle. Use the rules for working with measurements. area = ___ m ^ { 2 } perimeter = m$ area = _ $m ^ { 2 }$ perimeter = ______m

How many degrees are in a central angle whose arc is $\frac { 1 } { 8 }$ of a circle? __________ °

A mechanic plans to build a storage garage for 92 cars. Each car needs a space of 15 ft by 10 ft. Find the floor area A of the garage. At a cost of $\$ 22 / \mathrm { ft } ^ { 2 }$ , find the cost C of the garage.

How many gallons of water can be stored in the spherical portion of the water tank shown in the illustration? (7.48 gal = 1 ft ³) Round your answer to the nearest thousand.

You are designing a dome house in the shape of a hemisphere with a 37 ft outside diameter. If the walls are 12 in. in thick, what is the weight of this house? Concrete weighs 148 lb/ft ³. Assume doors and windows cover 15% of the house.

Given $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }$ , find the measure of ∠1. $Given \overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , find the measure of ∠1. °$ °