Question 1

Referring to triangle ABC, find the area of the triangle.   ? Round to three significant digits.

Accepted Answer

A) 13.7 yd S1U1P12S1S1P0 
B) 13.5 yd S1U1P12S1S1P0 
C) 12.5 yd S1U1P12S1S1P0 
D) 13.3 yd S1U1P12S1S1P0 
E) 12.7 yd S1U1P12S1S1P0 
A) 13.7 yd S1U1P12S1S1P0 
B) 13.5 yd S1U1P12S1S1P0 
C) 12.5 yd S1U1P12S1S1P0 
D) 13.3 yd S1U1P12S1S1P0 
E) 12.7 yd S1U1P12S1S1P0

Question 2

Find the magnitude of the vector and the angle   ,    , that the vector makes with the positive x -axis. 
​   ​ 
​

Accepted Answer

The answer of Find the magnitude of the vector and...

Question 3

Referring to triangle ABC, find the area of the triangle.   ? Round to three significant digits.

Accepted Answer

A) 392 inches S1U1P12S1S1P0 
B) 400 inches S1U1P12S1S1P0 
C) 406 inches S1U1P12S1S1P0 
D) 396 inches S1U1P12S1S1P0 
E) 402 inches S1U1P12S1S1P0 
A) 392 inches S1U1P12S1S1P0 
B) 400 inches S1U1P12S1S1P0 
C) 406 inches S1U1P12S1S1P0 
D) 396 inches S1U1P12S1S1P0 
E) 402 inches S1U1P12S1S1P0

Question 4

Referring to triangle ABC, find the area of the triangle.   ​ Round to three significant digits.

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 5

For the triangle described below, solve for B and use the results to explain why the triangle has two solutions.    ft,    ft

Accepted Answer

@#IMG-DLM&  or @#IMG-DLM& ; si

Question 6

The information below refers to triangle ABC .   ​ 
Find B , b , and c . Apply the rules regarding the use of significant digits after all computations are complete.   __________° ​   __________ ft ​   __________ ft

Accepted Answer

The answer of The information below refers to triangle ABC...

Question 7

For the pair of vectors, find   .   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

A tightrope walker is standing still with one foot on the tightrope as shown in the figure. If the tightrope walker weighs 123 pounds, find the magnitudes of the tension in the rope toward each end of the rope. Apply the rules regarding the use of significant digits after all computations are complete.   ​   ​

Accepted Answer

A)     lbs,    lbs 
B)     lbs,    lbs 
C)     lbs,    lbs 
D)     lbs,    lbs 
E)     lbs,    lbs 
A)     lbs,    lbs 
B)     lbs,    lbs 
C)     lbs,    lbs 
D)     lbs,    lbs 
E)     lbs,    lbs

Question 9

Draw the vector V  that goes from the origin to the given point. Then write V  in terms of the unit vectors i  and j .     ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
A) ​   
B) ​   
C) ​   
D) ​

Question 10

A plane is flying with an airspeed of 245 miles per hour with heading 276.2°. The wind currents are running at a constant 47.2 miles per hour in the direction 266.1°. Find the ground speed and true course of the plane. Apply the rules regarding the use of significant digits after all computations are complete.

Accepted Answer

A) 292 mph with heading 274.6° 
B) 302 mph with heading 274.6° 
C) 292 mph with heading 273.8° 
D) 292 mph with heading 294.6° 
E) 302 mph with heading 294.6° 
A) 292 mph with heading 274.6° 
B) 302 mph with heading 274.6° 
C) 292 mph with heading 273.8° 
D) 292 mph with heading 294.6° 
E) 302 mph with heading 294.6°

Question 11

Show that the pair of vectors    and    is perpendicular.

Accepted Answer

@#IMG-DLM& ​ 
​ @#IMG-DLM& ​ 
​ @#IMG-DLM& ​ 
Thus

Question 12

For the pair of vectors, find   ​   ​   __________

Accepted Answer

The answer of For the pair of vectors, find ...

Question 13

Referring to triangle ABC, find the area of the triangle.   ? Round to three significant digits.

Accepted Answer

A) 1,470 inches S1U1P12S1S1P0 
B) 1,430 inches S1U1P12S1S1P0 
C) 1,530 inches S1U1P12S1S1P0 
D) 1,390 inches S1U1P12S1S1P0 
E) 1,450 inches S1U1P12S1S1P0 
A) 1,470 inches S1U1P12S1S1P0 
B) 1,430 inches S1U1P12S1S1P0 
C) 1,530 inches S1U1P12S1S1P0 
D) 1,390 inches S1U1P12S1S1P0 
E) 1,450 inches S1U1P12S1S1P0

Question 14

Referring to triangle ABC, find the area of the triangle.   ​ 
Round to three significant digits. 
S = __________ m2

Accepted Answer

Question 15

Show that the pair of vectors    and    is perpendicular.

Accepted Answer

@#IMG-DLM& ​ 
​ @#IMG-DLM& ​ 
​ @#IMG-DLM& ​ 
Thus

Question 16

Find the magnitude of the vector.

Accepted Answer

The answer of Find the magnitude of the vector. ...

Question 17

Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 17 miles per hour, while the second is traveling at a constant 20 miles per hour. If the angle between their courses is 123°, how far apart are they after 2 hours? Apply the rules regarding the use of significant digits after all computations are complete. __________ mi

Accepted Answer

The answer of Two ships leave a harbor entrance at...

Question 18

The circle in the figure below has a radius of r and center at C . The distance from A to B is x , the distance from A to D is y , and the length of arc BD is s . For the following problem, redraw the figure, label it with the values given, and then solve. 
​ If    and    find y . Apply the rules regarding the use of significant digits after all computations are complete.   ​   __________

Accepted Answer

The answer of The circle in the figure below has...

Question 19

Referring to triangle ABC, find the area of the triangle.   ​ Round to three significant digits.

Accepted Answer

A) 454 m 2 
B) 457 m 2 
C) 453 m 2 
D) 456 m 2 
E) 451 m 2 
A) 454 m 2 
B) 457 m 2 
C) 453 m 2 
D) 456 m 2 
E) 451 m 2

Question 20

Find the dot product.   __________

Accepted Answer

The answer of Find the dot product.   __________...

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Find the magnitude of the vector and the angle , , that the vector makes with the positive x -axis.

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Referring to triangle ABC, find the area of the triangle. Round to three significant digits.

For the triangle described below, solve for B and use the results to explain why the triangle has two solutions. ft, ft

The information below refers to triangle ABC . Find B , b , and c . Apply the rules regarding the use of significant digits after all computations are complete. ° ft __ ft

For the pair of vectors, find .

Draw the vector V that goes from the origin to the given point. Then write V in terms of the unit vectors i and j .

Show that the pair of vectors and is perpendicular.

For the pair of vectors, find __________

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ m²

Show that the pair of vectors and is perpendicular.

Find the magnitude of the vector.

Referring to triangle ABC, find the area of the triangle. Round to three significant digits.

Find the dot product. __________

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Complex Numbers and Polar Coordinates

Filters

Exam 7: Triangles

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Find the magnitude of the vector and the angle , , that the vector makes with the positive x -axis. ​ ​ ​

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Referring to triangle ABC, find the area of the triangle. ​ Round to three significant digits.

For the triangle described below, solve for B and use the results to explain why the triangle has two solutions. ft, ft

The information below refers to triangle ABC . ​ Find B , b , and c . Apply the rules regarding the use of significant digits after all computations are complete. __________° ​ __________ ft ​ __________ ft

For the pair of vectors, find . ​

Draw the vector V that goes from the origin to the given point. Then write V in terms of the unit vectors i and j . ​

Show that the pair of vectors and is perpendicular.

For the pair of vectors, find ​ ​ __________

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Referring to triangle ABC, find the area of the triangle. ​ Round to three significant digits. S = __________ m2

Show that the pair of vectors and is perpendicular.

Find the magnitude of the vector.

Referring to triangle ABC, find the area of the triangle. ​ Round to three significant digits.

Find the dot product. __________

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Complex Numbers and Polar Coordinates

Filters

Find the magnitude of the vector and the angle , , that the vector makes with the positive x -axis.

Referring to triangle ABC, find the area of the triangle. Round to three significant digits.

The information below refers to triangle ABC . Find B , b , and c . Apply the rules regarding the use of significant digits after all computations are complete. ° ft __ ft

For the pair of vectors, find .

Draw the vector V that goes from the origin to the given point. Then write V in terms of the unit vectors i and j .

For the pair of vectors, find __________

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ m²

Referring to triangle ABC, find the area of the triangle. Round to three significant digits.