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
alukav5142 [94]
3 years ago
12

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.​

Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:

Width is 6 meters and length is 7 meters.

Step-by-step explanation:

You might be interested in
A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 120 ft high. Approximate the required work by a
Anastasy [175]

Answer:

Exercise (a)

The work done in pulling the rope to the top of the building is 750 lb·ft

Exercise (b)

The work done in pulling half the rope to the top of the building is 562.5 lb·ft

Step-by-step explanation:

Exercise (a)

The given parameters of the rope are;

The length of the rope = 50 ft.

The weight of the rope = 0.6 lb/ft.

The height of the building = 120 ft.

We have;

The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;

ΔW₁ = 0.6Δx·x

The work done for the second half, ΔW₂, is given as follows;

ΔW₂ = 0.6Δx·x + 25×0.6 × 25 =  0.6Δx·x + 375

The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375

∴ We have;

W = 2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750

The work done in pulling the rope to the top of the building, W = 750 lb·ft

Exercise (b)

The work done in pulling half the rope is given by W₂ as follows;

W_2 =  \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5

The work done in pulling half the rope, W₂ = 562.5 lb·ft

6 0
2 years ago
Find that slope of a line that passes through each pair of points
Pie
Given two points on the line known as (x1,y1) and (x2,y2): slope = y2y1 x2x1 Page 2 2 Example 1 Find the slope of the line that passes through (1,2) and (3,4). Use the slope equation: slope = y2y1 x2x1 Page 3 3 Example 2 Find the slope of the line that passes through (1,2) and (4,1). That's the basic formula but need
More info for
Your question
7 0
3 years ago
3x - 8 = 13 + -2(x - 8)
valentinak56 [21]

Answer:

37/5 or 7.4 or 7 2/5

Step-by-step explanation:

<em>I hope this helps! Have a great day!!</em>

<em>Skye~</em>

3 0
2 years ago
I. Tell whether each statement is TRUE or FALSE. Refer to the figure below. Write your answer on the space provided.
Vika [28.1K]

Answer:

1. TRUE

2. TRUE

3. TRUE

4. TRUE

5. FALSE

6. TRUE

Step-by-step explanation:

1. From the diagram, we have that m∠2 and m∠7 are alternate interior angles

If m∠2 = 70° and m∠7 = 70°, then we have;

m∠2 = 70° = m∠7

m∠2 = m∠7

Therefore, the alternate interior angles of the lines l₁, and l₂ are equal, and therefore, the lines l₁ and l₂ are parallel, l₁ ║ l₂

TRUE

2. If m∠3 = 90° and m∠7 = 90°, therefore, the angle formed by the intersection of l₃ and l₂ = 90°

Therefore l₃ ⊥ l₂

TRUE

3. m∠5 and m∠7 are corresponding angles

If m∠5 = 85° and m∠7 = 85°, then, m∠5 = m∠7

Therefore, the corresponding angles formed by the lines l₁ and l₂ are equal, therefore;

l₁ ║ l₂

TRUE

4. Whereby we have, m∠1 = m∠5, we get;

m∠1 + m∠5 = 180° by sum of angles on a straight line

∴ m∠1 + m∠5 = m∠1 + m∠1 = 2·m∠1 = 180°

m∠1 = 180°/2 = 90°

∴ m∠1 = 90° = m∠5, and l₃ ⊥ l₁

TRUE

5. m∠1 and m∠8 are alternate exterior angles

If m∠1 = 98° and m∠8 = 82°

∴ m∠1 ≠ m∠8 and l₁ ∦ l₈

FALSE

6. Given that l₁║ l₂, then the angle formed between l₁ and l₃ will be equal to th angle formed between l₂ and l₃

Therefore;

If l₁║ l₂, and l₃ ⊥ l₁, then l₃ ⊥ l₂

(If l₁║ l₂, and l₃ is perpendicular to l₁, then l₃ is also perpendicular to l₂)

TRUE

3 0
2 years ago
A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage
djyliett [7]
Jeff left a tip of 15%
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the improper fraction for 2 1/3
    15·1 answer
  • In the expression 12a+5, identify the coefficient
    5·1 answer
  • What is 66%as a fraction in simplest form
    7·2 answers
  • Factor 3/4 out of 3/4z+6.
    6·1 answer
  • If you help me god bless you and your a legend
    8·1 answer
  • THIS IS A SCIENCE QUESTION SRY
    6·2 answers
  • If the length of a rectangle is 5 m more than its width find the values of length and width if the area of a rectangle is 500 m²
    9·1 answer
  • Which is the equation of the given line?
    13·1 answer
  • Find each unit rate. Show your work <br><br> 45.5 meters in 13 seconds
    15·2 answers
  • Can someone please help me with this ?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!