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
Nimfa-mama [501]
2 years ago
6

The length of a rectangle is 3 cm less than its width what are the dimensions of the rectangle if its area is 270 cm²

Mathematics
1 answer:
kupik [55]2 years ago
7 0

Given:

The length of a rectangle is 3 cm less than its width.

The area of the rectangle is 270 cm².

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then,

\text{Length}=x-3

Area of a rectangle is:

\text{Area}=\text{Length}\times \text{width}

270=(x-3)(x)

270=x^2-3x

0=x^2-3x-270

Splitting the middle term, we get

x^2-18x+15x-270=0

x(x-18)+15(x-18)=0

(x-18)(x+15)=0

x=18,-15

Width of the rectangle cannot be negative. So, the only value of x is 18.

Width=18

Length=18-3

Length=15

Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.

You might be interested in
Please help I’ll give brainliest
ziro4ka [17]

Answer:

25 chords

Step-by-step explanation:

First, set up the ratio 40:8.

Now, make a proportion.

\frac{40}{8}=\frac{x}{5}

This proportion will give you x=25, so your answer is 25.

Hope this helps! Have a great day! :)

7 0
2 years ago
Read 2 more answers
A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches. You want to know how fast the car
ch4aika [34]

Answer:

72,220 inches per  minute

Step-by-step explanation:

A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches.

1 revolution = 2\pi radians

\frac{theta}{tome}=\frac{1000 \ revolution}{1 \ minuite} = \frac{1000* 2\pi }{1} =\frac{2000\pi}{1 \ minute}

Speed V= \frac{r*theta}{t}

r is the radius , theta is the angle and t is the time

We know diameter = 23  , then radius = 23/2

Speed V= \frac{23}{2}*\frac{2000\pi}{1}

Value of pi = 3.14

speed = 23000* 3.14= 72220 inches/ minute


3 0
3 years ago
Read 2 more answers
What is the discount on a pair of shoes with a regular price of $48?
Korolek [52]
The discounts on a pair of shoes with a regular price of $48 is 24
8 0
2 years ago
what is the probability of drawing a silver marble from a bag that contains 4 blue marbles, 7 silver marbles, and 5 green marble
umka21 [38]

Answer:

7 out of 16

Step-by-step explanation:

Well there are 16 marbles in total, and only 7 silver marbles. So the probability of getting a silver marble is 7/16

3 0
3 years ago
A _____ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Assoli18 [71]
I believe ur answer is fuction
7 0
3 years ago
Other questions:
  • For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's long distance b
    10·2 answers
  • Which list of fractions is in order from smallest to largest? A.1/2, 1/6, 1/3, B. 1/6, 1/3, 1/2, C. 1/6, 1/2, 1/3 D. 1/3, 1/3, 1
    11·2 answers
  • ∠A and \angle B∠B are vertical angles. If m\angle A=(8x-4)^{\circ}∠A=(8x−4) ∘ and m\angle B=(7x+3)^{\circ}∠B=(7x+3) ∘ , then fin
    13·1 answer
  • What is the explicit rule for the following sequence: 10, 13, 16, 19, …?
    7·1 answer
  • Which is the correct answer?
    6·1 answer
  • Girl come/asx-gjeo-pyj​
    11·1 answer
  • Find the unit rate for the following. REMEMBER, UNIT RATE IS HOW MUCH IS ONE OF SOMETHING.
    8·1 answer
  • Sort the words into a category based on whether they indicate a positive number or a negative number
    6·1 answer
  • A robot can complete 7 tasks in
    9·1 answer
  • What number am i?7 times two digit number equals 4 times number with the digit reversed .the sum of the digits is 3.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!