1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Radda [10]
3 years ago
13

The length of a rectangle is 1 ft less than double the width, and the area of the rectangle is 21 ft^2. Find the dimensions of t

he rectangle.
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

Let the width be w, then length = 2w - 1

Area = length times width = w(2w - 1) = 21.

Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0

Solving the quadratic equation gives that w = 3.5.

Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.

You might be interested in
Solve x+8y/4=9y for x
nikklg [1K]

Answer:

x = 7y

Step-by-step explanation:

x+8y/4=9y

Multiply each side by 4 to get rid of the fractions

4(x+8y/4)=9y*4

Distribute

4x +8y = 36y

Subtract 8y from each side

4x +8y-8y = 36y-8y

4x = 28y

Divide each side by 4

4x/4 = 28y/4

x = 7y

6 0
2 years ago
Read 2 more answers
Sin5A/SinA-cos5A/cosA=4cos2A​
irina1246 [14]

Answer:

See Explanation

Step-by-step explanation:

\frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}  = 4\cos2A \\  \\ LHS = \frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}   \\  \\  =  \frac{ \sin5A \:\cos A -  \cos5A \:  \sin A}{\sin A \:\cos A }  \\  \\  =  \frac{ \sin(5A -A )}{\sin A \:\cos A}  \\  \\ =  \frac{ \sin 4A}{\sin A \:\cos A}  \\  \\ =  \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =  \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =  \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =4\cos 2A \\  \\  = RHS \\  \\ thus \\  \\  \frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}  = 4\cos2A \\  \\ hence \: proved

5 0
3 years ago
Do banks typically issued credit cards based on a revolving credit agreement
taurus [48]

Answer:

yes

Most credit cards are typically revolving credit agreements.

Step-by-step explanation:

3 0
3 years ago
What is the y-intercept of the line with a slope of − 1/4 that passes through the point (−2, −9/2 )?
svlad2 [7]
-9/2 = -1/4(-2)+ b

-9/2 = 1/2 + b
Minus 1/2 over

B= -5

Hope this helps!
4 0
3 years ago
Read 2 more answers
Is it possible for y to be an independent variable?????????
Ahat [919]
No. Hope this helps!
5 0
3 years ago
Read 2 more answers
Other questions:
  • 17. Which of the following equations is equivalent to 9x -12 = 36 ?
    15·2 answers
  • Correct each sentence by writing the correct form of the underlined verb
    10·1 answer
  • How does using zero pairs help you solve equations?
    5·1 answer
  • Factor.
    7·1 answer
  • What is 6.64 rounded to nearest tenth?‍♀️
    15·2 answers
  • What is five plus (-12)
    14·2 answers
  • Write the coordinates of one point that lies in the second quadrant of the coordinate plane.
    13·1 answer
  • What is the answer? I need help!! please and thank you
    11·1 answer
  • The circumference of a circle is 177 ft. Find its diameter, in feet.
    6·1 answer
  • Magician Anthony has in his magic hat 14 grey, 8 white and 6 black mice. What is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!