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
Ganezh [65]
2 years ago
12

The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 96

Mathematics
1 answer:
Alja [10]2 years ago
6 0

Thee diagonal of the rectangle is 13.86 cm long.

<h3>What is the length of the diagonal of rectangle?</h3>

We are given that;

Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;

W = 2L - 9

Area formula for a rectangle is;

A = Length * Width

We are given area of rectangle = 96 cm²

Thus;

L(2L - 9) = 96

2L² - 9L = 96

2L² - 9L - 96 = 0

Using online quadratic equation calculator gives;

L = 9.53 cm

Thus;

W = 2(9.53) - 9

W = 19.06 - 9

W = 10.06 cm

The diagonal of the triangle will be gotten from Pythagoras theorem;

D = √(9.53² + 10.06²)

D = √192.0245

D = 13.86 cm

Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.

Read more about Rectangle Diagonal at; brainly.com/question/7071655

#SPJ1

You might be interested in
What is x3+y3=z3 <br> if you answer this right well you are amazing
ankoles [38]

Answer:  y = 2.71442

Step-by-step explanation:

3+y^3 = 23

y^3 =23-3

y^3 = 20

y = \sqrt[3]{20}

4 0
4 years ago
Math: Angles and degrees
UkoKoshka [18]

m∠MON = 130°

Solution:

Given m∠LON is a straight angle

m∠LOM = 4x + 30°, m∠MON = 8x + 90°

⇒ m∠LON = 180°

⇒ m∠LOM + m∠MON = 180°

⇒ 4x + 30° + 8x + 90° = 180°

Combine like terms together.

⇒ 4x + 8x + 30°  + 90° = 180°

⇒ 12x + 120° = 180°

Subtract 120° on both sides of the equation.

⇒ 12x + 120° – 120° = 180° – 120°

⇒ 12x = 60°

Divide by 5 on both sides of the equation.

⇒ x = 5°

Substitute x = 5° in m∠MON.

⇒ m∠MON = 8x + 90°

                   = 8(5°) + 90°

                   = 40° + 90°

                   = 130°

Hence m∠MON = 130°.

3 0
4 years ago
The cost of belonging to a gym can be modeled by C(m)= 50m + 79.50, where C(m) is the total cost for m months of membership. Sta
erik [133]

Answer:

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

Step-by-step explanation:

C(m)= 50m + 79.50,

This is written in the form y= mx+b where m is the slope and b is the y intercept.

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

3 0
4 years ago
Write the first three terms in the binomial expansion, expressing the result in simplifies form.
Pani-rosa [81]
You need to foil it out. That's how you get the answer.

(x+4)^20
=
(x+4) x (x+4)^19
= 
(x+4)^2 x (x+4)^18
etc. 


8 0
3 years ago
Ana has 296 coins in her coin collection. She
Step2247 [10]

Answer:

2,072

296 × 7 = 2,072

Step-by-step explanation:

...

3 0
3 years ago
Other questions:
  • Round each number to the nearest hundred and estimate the sum.1,841 964
    9·1 answer
  • Catty has $2150. Her mother gives her $563. She now has $189 more than her sister Dawn. How much does Dawn have?
    6·1 answer
  • What is the SURFACE AREA of the cube?
    5·1 answer
  • Will give brainiest!
    9·1 answer
  • Your gas tank can hold no more than 14.5 gallons of gasoline On atrip to the grocery store ,you use 1.5 gallons of gas. Write an
    13·1 answer
  • PLEASE HELP ILL GIVE BRAINLIEST
    15·1 answer
  • Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
    10·1 answer
  • Tamiko is planning a stone wall shaped like a triangle, with vertices (-1, -2), (2, 2), and (-2, 2) on a coordinate grid. She pl
    8·1 answer
  • What is the middle term in the simplified product?
    5·1 answer
  • Hey can someone help me find the area pls
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!