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
kondaur [170]
3 years ago
5

The area of a rectangle is 54 square feet. Find the length and width if the length is

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

Answer:

Width = 6 ft

Length = 9 ft

Step-by-step explanation:

Width =w

Length = 2w - 3

Area = 54 sq. ft

length *width = 54

(2w -3) *w = 54

2w² - 3w = 54

2w² - 3w - 54= 0

P = -108

Sum = -3

Factors = -12,9   {-12 + 9 = -3  & (-12)*9 = -108}

2w² - 12w + 9w -54 = 0

2w(w - 6) + 9(w- 6)=0

(w-6)(2w + 9) = 0

Ignore (2w + 9) as measure wont be negative

w -6 = 0

w = 6 ft

length = 2*6 - 3 = 12-3 = 9 ft

You might be interested in
Can someone help me with this problem?
Vadim26 [7]

Answer:

12(5+3)

Step-by-step explanation:

Again, <u>common </u>greatest number is 12. Just try out numers until its the highest common number.

60/12 = 5

36/12 = 3

so,

12(5+3)

3 0
3 years ago
A boat traveled 100 miles downstream and back the trip downstream took five hours the trip back to 10 hours what is the speed of
salantis [7]

Answer:

  • boat: 15 mph
  • current: 5 mph

Step-by-step explanation:

The relation between time, speed, and distance is ...

  speed = distance/time

__

The speed downstream is ...

  downstream speed = (100 mi)/(5 h) = 20 mi/h

The speed upstream is ...

  upstream speed = (100 mi)/(10 h) = 10 mi/h

The boat's speed in still water is the average of these:

  boat speed = ((downstream speed) + (upstream speed))/2 = (20 +10)/2 mi/h

  boat speed = 15 mi/h

__

The speed of the current is the difference between the travel speed and the boat speed:

  current speed = downstream speed - boat speed

  = (20 mi/h) - (15 mi/h)

  current speed = 5 mi/h

8 0
3 years ago
Jamin wants to paint a wall in his bedroom. In order to know how much paint to buy, he first needs to know the approximate area.
Alekssandra [29.7K]

<u><em>Answer:</em></u>

Area of window = 3 ft²

Area to be painted = 45 ft²

<u><em>Explanation:</em></u>

To get the area to be painted, we will start by getting the area of the whole wall (including the window), then subtract from it the area of the window

<u>1- getting area of whole wall:</u>

From the figure, we can note that the length and width of the wall are given as 6 ft and 8 ft

Area of whole wall = length * width

Area of whole wall = 6 * 8 = 48 ft²

<u>2- getting area of window:</u>

Again, from the figure, we can note that the length and width of the window are 2 ft and 18 in (which is equivalent to 1.5 ft)

Area of window = length * width

Area of window = 2 * 1.5 = 3 ft²

<u>3- getting area to be painted:</u>

Area to be painted = area of whole wall - area of window

Area to be painted = 48 - 3 = 45 ft²

Hope this helps :)

5 0
3 years ago
What is f^7 . f^1 please help​
telo118 [61]

Answer:

is f^8

Step-by-step explanation:

4 0
3 years ago
If the principal amount of $3,575 earned $1,072 in 3 years find the interest rate​
Jlenok [28]

u are gay but it would be 2,432

8 0
3 years ago
Other questions:
  • Need help on both of them
    10·1 answer
  • Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro
    12·1 answer
  • Huw is paid a weekly wage. Every week he: saves 1/5 of his wage,
    9·2 answers
  • Solve the equation below using completing the square method<br><br> 6y 2 – y – 15 = 0
    10·1 answer
  • Please please help me im really struggling
    5·1 answer
  • In an obtuse scalene triangle, one angle is 70 degrees larger than another angle and the third angle is 60 degrees. What is the
    14·1 answer
  • Nancy has a 3.5-pound bag of birdseed. She uses 3/4
    5·1 answer
  • Need help can someone please help me
    5·1 answer
  • There were 33,000 people at Patriots Stadium watching the game against the Giants on Sunday. 27,458 of them were Patriots fans,
    9·1 answer
  • Does the graph represent a function? y 97 8 7+ 6+ 5+ 3 M - 7 -6 -5 -4 -3 -2 1 2 3 4 5 6 7 -2+ -3+ -4 -5 Choose 1 answer: A Yes B
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!