Question 1

The area of a rectangle is $510 \mathrm {~cm} ^ { 2 }$ . Its width is $19$ cm. Find its length.

Accepted Answer

A)  $\text { lenght } = 230 \mathrm {~cm}$ 
B)  $\text { lenght } = 27 \mathrm {~cm}$ 
C)  $\text { lenght } = 32 \mathrm {~cm}$ 
D)  $\text { lenght } = 26.9 \mathrm {~cm}$ 
E)  $\text { lenght } = 30 \mathrm {~cm}$ 
A)  $\text { lenght } = 230 \mathrm {~cm}$ 
B)  $\text { lenght } = 27 \mathrm {~cm}$ 
C)  $\text { lenght } = 32 \mathrm {~cm}$ 
D)  $\text { lenght } = 26.9 \mathrm {~cm}$ 
E)  $\text { lenght } = 30 \mathrm {~cm}$ B

Question 2

On a sectional chart, used for aviation navigation, a military operating zone has the shape of a trapezoid. One base is 20 mi in length; the other base is 18 mi. The lengths of the other two sides are 12.24 mi and 13.1 mi. The distance between the parallel sides is 11.4 mi. What is the perimeter and the area of the military operating zone?

Accepted Answer

A)  $P = 63.3 \mathrm { mi }$ 
B)  $P = 59.3 \mathrm { mi }$ 
C)  $P = 74.7 \mathrm { mi }$ 
D)  $A = 217 \mathrm { mi } ^ { 2 }$ 
E)  $A = 370 \mathrm { mi } ^ { 2 }$
F) $A = 350 \mathrm { mi } ^ { 2 }$ 
A)  $P = 63.3 \mathrm { mi }$ 
B)  $P = 59.3 \mathrm { mi }$ 
C)  $P = 74.7 \mathrm { mi }$ 
D)  $A = 217 \mathrm { mi } ^ { 2 }$ 
E)  $A = 370 \mathrm { mi } ^ { 2 }$
F) $A = 350 \mathrm { mi } ^ { 2 }$ A,D

Question 3

Follow the rules for working with measurements. Steel weighs 0.28 lb/in 3. What is the weight of a rectangular piece of steel 0.3323 in. by 14 in. by 18 in.?

Accepted Answer

A)  26 lb 
B)  23 lb 
C)  24 lb 
D)  33 lb 
E)  280 lb 
A)  26 lb 
B)  23 lb 
C)  24 lb 
D)  33 lb 
E)  280 lb B

Question 4

A 4 in. diameter cylindrical rod is 14 in. long. Find its volume.

Accepted Answer

A)  36 in 3 
B)  180 in 3 
C)  90 in 3 
D)  360 in 3 
E)  45 in 3 
A)  36 in 3 
B)  180 in 3 
C)  90 in 3 
D)  360 in 3 
E)  45 in 3

Question 5

Follow the rules for working with measurements. Find the volume and the lateral surface area of the circular cone.

Accepted Answer

A)  V = 1560 cm 3 
B)  A = 559 cm 2 
C)  V = 2050 cm 3 
D)  V = 2450 cm 3 
E)  A = 481 cm 2
F) V = 1220 cm 3
G) A = 444 cm 2
H) A = 504 cm 2 
A)  V = 1560 cm 3 
B)  A = 559 cm 2 
C)  V = 2050 cm 3 
D)  V = 2450 cm 3 
E)  A = 481 cm 2
F) V = 1220 cm 3
G) A = 444 cm 2
H) A = 504 cm 2

Question 6

Change $\frac { \pi } { 6 }$ rad to degrees.
__________ °

Accepted Answer

The answer of Change \(\frac { \pi } { 6...

Question 7

Find the length of the missing side in the triangle. Use the rules for working with measurements.

Accepted Answer

A)  b = 19,000 km 
B)  b = 16,700 km 
C)  b = 20,000 km 
D)  b = 17,800 km 
E)  b = 5,000 km 
A)  b = 19,000 km 
B)  b = 16,700 km 
C)  b = 20,000 km 
D)  b = 17,800 km 
E)  b = 5,000 km

Question 8

In the illustration, the length of AC is 2, and the distance between B and center C is 6. Find the length of $\overline{AB}$ . Round your answer to the nearest hundredth.

Accepted Answer

A)  $\overline { A B } = 5.55$ 
B)  $\overline { A B } = 8.49$ 
C)  $\overline { A B } = 11.31$ 
D)  $\overline { A B } = 5.66$ 
E)  $\overline { A B } = 1.77$ 
A)  $\overline { A B } = 5.55$ 
B)  $\overline { A B } = 8.49$ 
C)  $\overline { A B } = 11.31$ 
D)  $\overline { A B } = 5.66$ 
E)  $\overline { A B } = 1.77$

Question 9

A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 6 ft and the square base has edges of length 4 ft. Find the volume of such a pyramid.

Accepted Answer

A)  V = 48 ft 3 
B)  V = 35 ft 3 
C)  V = 32 ft 3 
D)  V = 44 ft 3 
E)  V = 27 ft 3 
A)  V = 48 ft 3 
B)  V = 35 ft 3 
C)  V = 32 ft 3 
D)  V = 44 ft 3 
E)  V = 27 ft 3

Question 10

If the diameter of a wheel's rim is 23 in., what is the rim's circumference? Use the rules for working with measurements.

Accepted Answer

A)  The length is 18.1 in. 
B)  The length is 36.1 in. 
C)  The length is 72.3 in. 
D)  The length is 415 in. 
E)  The length is 831 in. 
A)  The length is 18.1 in. 
B)  The length is 36.1 in. 
C)  The length is 72.3 in. 
D)  The length is 415 in. 
E)  The length is 831 in.

Question 11

Find the circumference and the area of the circle. Use the rules for working with measurements.

Accepted Answer

A)  The circumference is 313 mi, the area is 15,600 mi 2. 
B)  The circumference is 626 mi, the area is 15,600 mi 2. 
C)  The circumference is 313 mi, the area is 7,790 mi 2. 
D)  The circumference is 157 mi, the area is 15,600 mi 2. 
E)  The circumference is 626 mi, the area is 11,690 mi 2. 
A)  The circumference is 313 mi, the area is 15,600 mi 2. 
B)  The circumference is 626 mi, the area is 15,600 mi 2. 
C)  The circumference is 313 mi, the area is 7,790 mi 2. 
D)  The circumference is 157 mi, the area is 15,600 mi 2. 
E)  The circumference is 626 mi, the area is 11,690 mi 2.

Question 12

Use the formula $A = b h$ . Give the answer to one decimal place. $A = 316 \mathrm {~m} ^ { 2 }$ , $h = 18.9 \mathrm {~m} ^ { 2 }$ ; find b.
b = __________ m

Accepted Answer

The answer of Use the formula $A = b h$...

Question 13

Follow the rules for working with measurements. Find the surface area and the volume of the sphere.

Accepted Answer

A)  A = 2,880 m 2, V = 20,500 m 3 
B)  A = 1,370 ft 2, V = 5,190 ft 3 
C)  A = 1,430 ft 2, V = 5,140 ft 3 
D)  A = 1,470 ft 2, V = 5,100 ft 3 
E)  A = 1,440 ft 2, V = 5,130 ft 3 
A)  A = 2,880 m 2, V = 20,500 m 3 
B)  A = 1,370 ft 2, V = 5,190 ft 3 
C)  A = 1,430 ft 2, V = 5,140 ft 3 
D)  A = 1,470 ft 2, V = 5,100 ft 3 
E)  A = 1,440 ft 2, V = 5,130 ft 3

Question 14

Find the circumference and the area of the circle. Use the rules for working with measurements.

Accepted Answer

A)  The circumference is 25.1 in, the area is 201 in 2. 
B)  The circumference is 50.3 in, the area is 25.1 in 2. 
C)  The circumference is 25.1 in, the area is 50.3 in 2. 
D)  The circumference is 50.3 in, the area is 101 in 2. 
E)  The circumference is 12.6 in, the area is 101 in 2. 
A)  The circumference is 25.1 in, the area is 201 in 2. 
B)  The circumference is 50.3 in, the area is 25.1 in 2. 
C)  The circumference is 25.1 in, the area is 50.3 in 2. 
D)  The circumference is 50.3 in, the area is 101 in 2. 
E)  The circumference is 12.6 in, the area is 101 in 2.

Question 15

The radius of a wheel is 23 in. It turns through an angle of 2.15 rad. What is the distance a point travels on the surface of the wheel? Give the answer to one decimal place, if necessary.
__________ in.

Accepted Answer

The answer of The radius of a wheel is 23...

Question 16

Find the perimeter and the area of the quadrilateral.   Perimeter = __________ m
Area = __________ $m ^ { 2 }$

Accepted Answer

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

Question 17

What percent of $2$ rad is $\frac { \pi } { 12 }$ rad? Round the result to the nearest tenth.

Accepted Answer

A)  0.1 % 
B)  25.1 % 
C)  13.1 % 
D)  4.2 % 
E)  13.3 % 
A)  0.1 % 
B)  25.1 % 
C)  13.1 % 
D)  4.2 % 
E)  13.3 %

Question 18

A welder has a large pan that has the shape of a hemisphere that is used for scrap metal pieces. If the radius of this pan is 7.00 in., what is the volume?

Accepted Answer

A)  404 in. 3 
B)  720 in. 3 
C)  1,440 in. 3 
D)  1,550 in. 3 
E)  680 in. 3 
A)  404 in. 3 
B)  720 in. 3 
C)  1,440 in. 3 
D)  1,550 in. 3 
E)  680 in. 3

Question 19

Each cylinder bore of a 6-cylinder engine has a diameter of 4 in. and a height of 5.1 in. What is the lateral surface area of the six cylinder bores?

Accepted Answer

A)  485 in 2 
B)  385 in 2 
C)  770 in 2 
D)  193 in 2 
E)  96.3 in 2 
A)  485 in 2 
B)  385 in 2 
C)  770 in 2 
D)  193 in 2 
E)  96.3 in 2

Question 20

Find the length of the hypotenuse in the triangle. Use the rules for working with measurements.

Accepted Answer

A)  c = 10.6 cm 
B)  c = 11.7 cm 
C)  c = 12.8 cm 
D)  c = 14.6 cm 
E)  c = 12.3 cm 
A)  c = 10.6 cm 
B)  c = 11.7 cm 
C)  c = 12.8 cm 
D)  c = 14.6 cm 
E)  c = 12.3 cm

The area of a rectangle is $510 \mathrm {~cm} ^ { 2 }$ . Its width is $19$ cm. Find its length.

Follow the rules for working with measurements. Steel weighs 0.28 lb/in ³. What is the weight of a rectangular piece of steel 0.3323 in. by 14 in. by 18 in.?

A 4 in. diameter cylindrical rod is 14 in. long. Find its volume.

Follow the rules for working with measurements. Find the volume and the lateral surface area of the circular cone.

Change $\frac { \pi } { 6 }$ rad to degrees. __________ °

Find the length of the missing side in the triangle. Use the rules for working with measurements.

A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 6 ft and the square base has edges of length 4 ft. Find the volume of such a pyramid.

If the diameter of a wheel's rim is 23 in., what is the rim's circumference? Use the rules for working with measurements.

Find the circumference and the area of the circle. Use the rules for working with measurements.

Use the formula $A = b h$ . Give the answer to one decimal place. $A = 316 \mathrm {~m} ^ { 2 }$ , $h = 18.9 \mathrm {~m} ^ { 2 }$ ; find b. b = __________ m

Follow the rules for working with measurements. Find the surface area and the volume of the sphere.

Find the circumference and the area of the circle. Use the rules for working with measurements.

The radius of a wheel is 23 in. It turns through an angle of 2.15 rad. What is the distance a point travels on the surface of the wheel? Give the answer to one decimal place, if necessary. __________ in.

Find the perimeter and the area of the quadrilateral. $Find the perimeter and the area of the quadrilateral. Perimeter = m Area = m ^ { 2 }$ Perimeter = m Area = $m ^ { 2 }$

What percent of $2$ rad is $\frac { \pi } { 12 }$ rad? Round the result to the nearest tenth.

A welder has a large pan that has the shape of a hemisphere that is used for scrap metal pieces. If the radius of this pan is 7.00 in., what is the volume?

Each cylinder bore of a 6-cylinder engine has a diameter of 4 in. and a height of 5.1 in. What is the lateral surface area of the six cylinder bores?

Find the length of the hypotenuse in the triangle. Use the rules for working with measurements.

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

The area of a rectangle is 510 cm2510 \mathrm {~cm} ^ { 2 }510 cm2 . Its width is 191919 cm. Find its length.

Follow the rules for working with measurements. Steel weighs 0.28 lb/in 3. What is the weight of a rectangular piece of steel 0.3323 in. by 14 in. by 18 in.?

A 4 in. diameter cylindrical rod is 14 in. long. Find its volume.

Follow the rules for working with measurements. Find the volume and the lateral surface area of the circular cone.

Change π6\frac { \pi } { 6 }6π​ rad to degrees. __________ °

Find the length of the missing side in the triangle. Use the rules for working with measurements.

In the illustration, the length of AC is 2, and the distance between B and center C is 6. Find the length of AB‾\overline{AB}AB . Round your answer to the nearest hundredth.

A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 6 ft and the square base has edges of length 4 ft. Find the volume of such a pyramid.

If the diameter of a wheel's rim is 23 in., what is the rim's circumference? Use the rules for working with measurements.

Find the circumference and the area of the circle. Use the rules for working with measurements.

Use the formula A=bhA = b hA=bh . Give the answer to one decimal place. A=316 m2A = 316 \mathrm {~m} ^ { 2 }A=316 m2 , h=18.9 m2h = 18.9 \mathrm {~m} ^ { 2 }h=18.9 m2 ; find b. b = __________ m

Follow the rules for working with measurements. Find the surface area and the volume of the sphere.

Find the circumference and the area of the circle. Use the rules for working with measurements.

The radius of a wheel is 23 in. It turns through an angle of 2.15 rad. What is the distance a point travels on the surface of the wheel? Give the answer to one decimal place, if necessary. __________ in.

Find the perimeter and the area of the quadrilateral. Perimeter = __________ m Area = __________ m2m ^ { 2 }m2

What percent of 222 rad is π12\frac { \pi } { 12 }12π​ rad? Round the result to the nearest tenth.

A welder has a large pan that has the shape of a hemisphere that is used for scrap metal pieces. If the radius of this pan is 7.00 in., what is the volume?

Each cylinder bore of a 6-cylinder engine has a diameter of 4 in. and a height of 5.1 in. What is the lateral surface area of the six cylinder bores?

Find the length of the hypotenuse in the triangle. Use the rules for working with measurements.

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

The area of a rectangle is $510 \mathrm {~cm} ^ { 2 }$ . Its width is $19$ cm. Find its length.

Follow the rules for working with measurements. Steel weighs 0.28 lb/in ³. What is the weight of a rectangular piece of steel 0.3323 in. by 14 in. by 18 in.?

Change $\frac { \pi } { 6 }$ rad to degrees. __________ °

Use the formula $A = b h$ . Give the answer to one decimal place. $A = 316 \mathrm {~m} ^ { 2 }$ , $h = 18.9 \mathrm {~m} ^ { 2 }$ ; find b. b = __________ m

Find the perimeter and the area of the quadrilateral. $Find the perimeter and the area of the quadrilateral. Perimeter = m Area = m ^ { 2 }$ Perimeter = m Area = $m ^ { 2 }$

What percent of $2$ rad is $\frac { \pi } { 12 }$ rad? Round the result to the nearest tenth.