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
Lyrx [107]
3 years ago
14

A rectangular piece of land whose length is twice its width has a diagonal distance of 80 yards. How many​ yards, to the nearest

tenth of a​ yard, does a person save by walking diagonally across the land instead of walking its length and its​ width?
Social Studies
1 answer:
Zolol [24]3 years ago
4 0

Answer:

27.4 yards

Explanation:

The diagonal of a rectangle, one of it's length and one of it's width will form a right angle triangle

Let

Width = x

Length = 2x

Diagonal = 80 yards

c^2 = a^2 + b^2

Where

c= diagonal

a= length

b= width

c^2 = a^2 + b^2

80^2 = (2x)^2 + (x)^2

80^2 = 2x * 2x + x^2

80^2 = 4x^2 + x^2

6,400= 5x^2

Divide both sides by 5

x^2= 6400 / 5

= 1280

x^2 = 1,280

Find the square root of both sides

√x^2 = √1,280

x= 35.8

How many​ yards, to the nearest tenth of a​ yard, does a person save by walking diagonally across the land instead of walking its length and its​ width?

Yards saved= (Length + width) - diagonal

= (2x+x) - 80

= {2(35.8) + 35.8} - 80

= (71.6 + 35.8) - 80

= 107.4 - 80

= 27.4

Yards saved = 27.4 yards

You might be interested in
What did the colonists do while they were independent from Britain?
Liula [17]
Later, when the colonists won independence, these colonies became the 13 original states. Each colony had its own government, but the British king controlled these governments.
8 0
3 years ago
How are herbivores and carnivores alike
anyanavicka [17]
They both eat natural and living organisms (herbivore = plant eater) (carnivore = meat eater) and they are both types of eaters/animals. However herbivores and carnivores are more dissimilar than alike.
8 0
3 years ago
What are jobs of three branches of government?
cluponka [151]

Answer:

Explanation

Legislative-Makes laws

Executive-Carries out laws

Judicial-Evaluates laws

4 0
3 years ago
How can there be a balance between development and damage to the environment?
timurjin [86]

Answer:

The economy is, of course, based on the environment. If the environment is not protected, then in the long run the economy will pay the price.

The question of “balance” is actually a false question. The question really should be, how should we protect the environment so that we can continue to enjoy a good economy?

Explanation:

3 0
3 years ago
Describe annabeths relationship with her father in percy jackson the lightning thief
AlexFokin [52]

Her father is the mortal Frederick Chase and her mother is Athena, the goddess of wisdom. She first appears in the first novel of the series, The Lightning Thief. Throughout the series she becomes close friends with Percy Jackson, later becoming his main love interest and girlfriend.

4 0
4 years ago
Read 2 more answers
Other questions:
  • one of the major debates at the constitutional convention was between delegates who wanted a strong federal government and other
    6·2 answers
  • Describe why sellers in a perfectly competitive market have no control over price.
    13·1 answer
  • Explain how a compromise was reached relating to the representation of people and the representation of states in Congress.
    14·1 answer
  • Which one of the following non-DoD intelligence communities supports HUMINT collection, all source analysis, and political, econ
    7·1 answer
  • What is not a property of the sampling distribution of the sampleâ mean?
    8·1 answer
  • A principal who leads a prayer at a graduation violates the First Amendment’s
    8·1 answer
  • Your tax return has been received and is being processed? what does it mean?
    6·1 answer
  • When journalists and news organizations represent a real or perceived viewpoint on a particular issue and slant their news cover
    7·1 answer
  • When moving upward on an energy pyramid from one level to the next, what happens to the usable energy in an ecosystem?
    5·2 answers
  • The universal components of any idea are called __________, and the particular aspects of the same idea are called __________.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!