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
Tamiku [17]
2 years ago
9

The length of a rectangle is 9 inches more than half the width. Find the length if the perimeter is 60 inches.

Mathematics
1 answer:
valentina_108 [34]2 years ago
5 0

Answer:

Length = 10.435 inches

Step-by-step explanation:

Let the length be l

Let the width be w

Since the length is 9 inches more than half the width.

Then;

L = 0.5w + 9

Perimeter of a rectangle is;

P = 2Lw

Thus;

P = 2w(0.5w + 9)

Since perimeter = 60

Then;

2w(0.5w + 9) = 60

w² + 18w = 60

w² + 18w - 60 = 0

From quadratic formula;

w ≈ 2.87 in

L = 0.5(2.87) + 9

L = 10.435 in

You might be interested in
Find irrational number between 5, 25 and 5, 26​
iragen [17]

Answer:

The answer is 2.5135145

Step-by-step explanation:

  • The irrational number between 5,25 and 5,26
  • 2.5135145...
  • The number is non-terminating and non-recurring. Hence, it is an irrational number.
  • A real number that cannot be expressed as a simple fraction is called an irrational number.
  • It is impossible to express in terms of a ratio.
  • If N is irrational, it is not equal to p/q, where p and q are integers and q is not equal to 0.
  • Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
5 0
2 years ago
I was sick for a week and never got tought this stuff can you help
Crank

1. We know that Sum of Three Angles in a Triangle is 180

⇒ m∠1 + 75 + 40 = 180

Option B is the Answer

2. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 30 + 20 = 180

⇒ ∠1 + 50 = 180

⇒ ∠1 = 180 - 50

⇒∠1 = 130

3. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 75 + 35 = 180

⇒ ∠1 + 110 = 180

⇒ ∠1 = 180 - 110

⇒ ∠1 = 70

4. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 60 + 60 = 180

⇒ ∠1 + 120 = 180

⇒ ∠1 = 180 - 120

⇒ ∠1 = 60

5. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 30 = 180

⇒ ∠2 + 120 = 180

⇒ ∠2 = 180 - 120

⇒ ∠2 = 60

6. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 40 = 180

⇒ ∠2 + 130 = 180

⇒ ∠2 = 180 - 130

⇒ ∠2 = 50

7. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 45 = 180

⇒ ∠2 + 135 = 180

⇒ ∠2 = 180 - 135

⇒ ∠2 = 45

8. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 80 + 60

⇒ ∠3 = 140

9. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 40 + 35

⇒ ∠3 = 75

10. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 75 + 65

⇒ ∠3 = 140

11. We know that Sum of Three Angles in a Triangle is 180

⇒ x + x + 108 = 180

⇒ 2x + 108 = 180

⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

12. We know that Sum of Three Angles in a Triangle is 180

⇒ 60 + 60 + 3x = 180

⇒ 3x + 120 = 180

⇒ 3x = 180 - 120

⇒ 3x = 60

⇒ x = 20

13. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ (5x + 3) + 47 + 90 = 180

⇒ 5x + 140 = 180

⇒ 5x = 180 - 140

⇒ 5x = 40

⇒ x = 8

14. We can notice that the Given Diagram is a Right angled Triangle :

⇒ ∠1 + 90 + 45 = 180

⇒ ∠1 + 135 = 180

⇒ ∠1 = 180 - 135

⇒ ∠1 = 45

8 0
3 years ago
Answers for the 2 boxes please ​
pochemuha
(-3,-6) this is the answer you can also double check by plugging it into a calculator
6 0
2 years ago
For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
Hitman42 [59]

answer:

\frac{4}{9}


explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

\frac{16}{36} = \frac{4}{9}

--

if this helped, please consider giving brainliest !

7 0
2 years ago
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The
Nezavi [6.7K]

ANSWER

As given in question

plant’s height = 37 centimeters

it grows at a rate of 0.004 centimeter per hour of sunlight

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives.

the number of hours of sunlight = s

Than the equation become in the form

f(s) = 0.004s + 37

this equation shows the  height of the plant .

Hence proved

5 0
3 years ago
Read 2 more answers
Other questions:
  • A company is offering 1 grand prize, 3 second place prizes and 25 third place prizes. Out of 500 total entries, what is the prob
    11·1 answer
  • Walt has a box of 80 postage stamps. The box contains 16 stamps featuring the Bald Eagle and 40 stamps featuring the Stars and S
    11·1 answer
  • the sum of two numbers is -1. when twice the first number and four times the second number are added the sum is -10.what are the
    13·2 answers
  • For each of the incorrect dot plots, describe what is wrong
    15·1 answer
  • HELP PLEASE HELP HELP
    5·1 answer
  • YOOOOOOOo i need some help with the problem in the photo below 0-0
    12·2 answers
  • LIST THE ANGLES OF THE TRIANGLE FROM LEAST TO GREATEST ILL BRAINLIEST YOU IF YOU GET IT RIGHT
    14·1 answer
  • Mrs. Burch has 9 dimes and some quarters in her pocket. The value of her coins is $3.65. Which equation can be used to find the
    15·1 answer
  • Which of the following is a type of special triangle
    12·2 answers
  • I need help with this question for my 8th grade math test
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!