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
Vika [28.1K]
3 years ago
10

The length of a rectangle is 9 centimeters less than four times its width. Its area is 28 square centimeters. What is the dimens

ions of the rectangle What is the width?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0
Let the length be x and the width be y. 

Since the length is 9cm less than 4 times the width, it can equal to:
x = 4y-9

The area would be:
xy = 28
But since we have the first equation, we can substitute it into the second:
4y-9*y = 28
4y^2 - 9y = 28
4y^2 - 9y - 28 = 0

Factorize this to make it:
(x-4)(4x+7) = 0
 x= 4 or x = -7/4

Since the dimensions cannot be negative, the width is 4cm, and the length would is 7cm.

You might be interested in
If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Which expression can be used to detemine the reference for the angle, x, measuring 150 degree​
taurus [48]
Do you have an A B C it helps
4 0
3 years ago
Tara pays $20.50 for 8.2 pounds of potatoes. What is the price per pound of potatoes?
Masteriza [31]

Answer:

She pays $2.5 per pound

Step-by-step explanation:

8 0
3 years ago
How do I count by twelfths
Korvikt [17]

12,  x 1 = 12

12 x 2 =24  

12 x 3 = 36

12 x 4 =48

12 x 5= 60  

12 x 6 =72  

 

12 x 7 = 84

 

12 x 8= 96

12 x 9= 108  

12 x 10 = 120  

 

12 x 11=132

12x 12= 144

hope this helps

8 0
3 years ago
There are 1000 g in a kilogram. How would you convert 600 kg into grams?
nignag [31]
600x1000 is how you would convert it
8 0
3 years ago
Other questions:
  • Can u solve it plz thx
    5·2 answers
  • What is the exact value of tangent (negative StartFraction pi Over 3 EndFraction)
    10·1 answer
  • Given that (5,-8) is on the graph of f(x), find
    9·1 answer
  • I need help this is due tomorrow and I have to write an essay so please help!!!
    9·1 answer
  • How do you write twice the sum of seven and a number
    12·2 answers
  • Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to
    11·1 answer
  • Which graph represents an exponential function?
    8·1 answer
  • Help PLSSSSS I will give you Brainlyist <br> I suck at math it should be easy
    15·2 answers
  • In the table below, x represents miles traveled and y represents the cost to travel by train.
    15·2 answers
  • Question question question question helppppppppp<br> Thanks!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!