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
mina [271]
3 years ago
8

a rectangle has a length that is nine feet less than four times its width. Its area is 90 ft. Algebraically determine the length

of its width and length. Show work
Mathematics
1 answer:
sammy [17]3 years ago
6 0
Ok... after much confusion, I've come to the conclusion that you must have written the question wrong and it's actually the perimeter that is 90 feet so that's how I'm going to work it...

Width = w
Length = 4w - 9

P = 2w x 2L
90 = 2w + 2(4w - 9)
90 = 2w + 8w - 18
90 = 10w - 18
108 = 10w
108/10 = w
10 4/5 = w

Width is 10 4/5 ft

Length = 4w - 9
L = 4(10 4/5) - 9
L = 43 1/5 - 9
L = 34 1/5 ft

Length 34 1/5 ft  Width 10 4/5 ft or
Length 34.2 ft and width 10.8 ft

You might be interested in
Caculate the slope between the points <br> (9, 12) and (4, 17)
Scilla [17]
To calculate the slope you need to do (y2-y1)/(x2-x1). So you would get:
(17-12)/(4-9)
5/-5
=-1
Hope this helps.
3 0
3 years ago
PLS HELP!!!!! I WILL GIVE BRAINLEST JUST PLS HELP!!!
steposvetlana [31]

Answer:

Step-by-step explanation:

Mckcifjfjf

5 0
2 years ago
Mary can clean her apartment in 6 hours, while her roommate can clean the apartment in 5 hours. if they work together, how long
defon

Answer:

2 hours and 44 minutes.

Step-by-step explanation:

In 1 hour, Mary can clean 1/6 of the apartment, while her roommate cleans 1/5 of the apartment. To represent both of them working together, you add both fractions : 1/5 + 1/6 = 11/30. To find out how long it would take, you divide 1 by 11/30. 1/1 ÷ 11/30 = 1/1 × 30/11 = 30/11 hours. Make the fraction a mixed number : 30/11 = 2 8/11. 8/11 ≈ 0.727. Multiply 0.727 with 60 minutes : 0.727 × 60 = 43.62 minutes. Round 43.62 : 44 minutes. Result : 2 hours and 44 minutes.

4 0
2 years ago
Jacqueline’s purchase before sales tax totaled $32. The total including tax was $33.92. What was the sales tax rate?
Usimov [2.4K]
------------------------------------------------------------------
Find Sales Tax
------------------------------------------------------------------
$33.92 - $32 = $1.92

------------------------------------------------------------------
Find Sales Tax Rate 
------------------------------------------------------------------
\text {Sales Tax = }  \dfrac{1.92}{32} \times 100

\text {Sales Tax = } 6 \%
3 0
3 years ago
Etermine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ &lt; 360°.
Jet001 [13]

To convert from rectangular to polar we will use these 2 formulas:

r^2=x^2+y^2 and

tan\theta=\frac{y}{x}.

The r value found serves as the first coordinate in our polar coordinate, and the angle serves as the second coordinate of the pair. We are told to find 2. Since the r value will always be the same (it's the length of the hypotenuse created in the right triangle we form when determining our angle theta), the angle is what is going to be different in our coordinate pairs. We use the x and y coordinates from the given rectangular coordinate to solve for the r in both our coordinate pairs.

r^2=2^2+ -2^2 which gives us an r value of 2\sqrt{2}. That's r for both coordinate pairs. Now we move to the angle. Setting up according to our formula we have

tan\theta =\frac{-2}{2} =-1.

This asks the question "what angle(s) has/have a tangent of -1?". That's what we have to find out! Since the tangent ratio is y/x AND since it is negative, it is going to lie in a quadrant where x is negative and y is positive, AND where x is positive and y is negative. Those quadrants are 2 and 4. In QII, x is negative so the tangent ratio is negative here; in QIV, y is negative so the tangent ratio is negative here as well. Now, if we type inverse tangent of -1 into our calculators in degree mode, we get that the angle that has a tangent of -1 is -45. Measured from the positive x axis, -45 does in fact go into the fourth quadrant. However, since the inverse tangent of -1 is -45, we also have a 45 degree angle in the second quadrant. Those are reference angles, mind you. A 45 degree angle in QII has a coterminal angle of 135 degree; a 45 degree angle in QIV has a coterminal angle of 315. If you don't understand that, go back to your lesson on reference angles and coterminal angles to see what those are. So our polar coordinates for that rectangular coordinate are

(2\sqrt{2},135) and

(2\sqrt{2},315)

8 0
3 years ago
Other questions:
  • What is 0.000982 in scientific notation
    10·2 answers
  • Find the perimeter AND area of the parallelogram ABCD. Show all work
    5·1 answer
  • Rewrite the expression 8j * 9r with less symbols and characters
    14·2 answers
  • If ray ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday, and 3 miles in 18 minutes on Wednesday, how many mil
    9·2 answers
  • *H E L P M E ANSWER*
    12·1 answer
  • How do you divide can someone plz tell me
    13·2 answers
  • Plz help ASAP with the correct answer plz
    14·2 answers
  • Which function is represented by the graph?
    14·1 answer
  • The wavelength of an x-ray measures 1.0×10−11 meters. How is this number written using standard notation?
    12·1 answer
  • Multiple choice question pls help!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!