answer.
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
poizon [28]
2 years ago
12

A rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their y

ard using the same fence.
Their yard is similar but has a scale factor of 8/5 times the size of
yours, how much fence to the nearest foot, will they have to purchase?

A) about 321 feet
B) about 510 feet
C) about 542 feet
D) about 199 feet​
Mathematics
1 answer:
Vsevolod [243]2 years ago
5 0

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.  Their yard is similar but has a scale factor of 8/5 times the size of  yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is \frac{8}{5} times your yard, so your friend should purchase \frac{8}{5} times the 319 feet.

\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}

\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}

\text{Length of fence your friend should purchase}=510.4\text{ ft}

Upon rounding our answer to nearest foot, we will get:

\text{Length of fence your friend should purchase}\approx 510\text{ ft}

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

You might be interested in
Which of the following are descriptive images? Select all that apply.
murzikaleks [220]

Answer:

"A lock of straw-colored hair wedged between the mottled page of a Victor Hugo novel."

Step-by-step explanation:

5 0
2 years ago
The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface
never [62]

Answer:

2\sqrt{2}\ ft\ longer

Step-by-step explanation:

<u>Area Of A Cube </u>

Suppose a cube with side length s, the area of one side is

A_s=s^2

Since the cube has 6 sides, the total area is

A=6A_s=6s^2

But if we have the area, we can solve the above formula for s to get

A=6s^2

\displaystyle s=\sqrt{\frac{A}{6}}

We have two different cubes with areas 1,200 square inches and  768 square inches. Let's compute their side lengths

\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}

\displaystyle s_1=10\sqrt{2}\ ft

\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}

\displaystyle s_2=8\sqrt{2} ft

The difference between them is

10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft

The side of the cube with area 1,200 square inches is 2\sqrt{2}\ ft longer then the side of the cube with area 768 square inches

7 0
2 years ago
Read 2 more answers
You have a square flower garden that has an area of 400 square yards. What is the length of one side of the garden?
emmasim [6.3K]

Answer:

20 yards

Step-by-step explanation:

The area of a square is calculated by multiplying its height by its base. Because they are the same in a square, the area of a square is obtained by squaring one of its sides. Let's call the sides 'x'. Then we can express the area of the garden as x^2=400.

From here we simply need to square root both sides which gives us:

x=20

Therefore the length of one side of the garden is 20 yards.

Hope this helped!

7 0
2 years ago
During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experim
Maru [420]

Answer:

1) Juans claim is incorrect. The correct experimental probablilty is 2/9

Step-by-step explanation:

8 0
2 years ago
Read 3 more answers
NO JOKE 70 POINTS!!!!!!!! I WILL GIVE BRANLIEST AND RATE!!!! MATH EXPERTS COME HELP!!! AT LEAST TAKE A LOOK!!! LIKE WHERE ARE TH
Rufina [12.5K]

Answer:

The quadratic equation is f(x)=20x^{2} -400x +3000.

1. This number represents the amount of money it was sold for.

2. Vertex =(10,1000)

Step-by-step explanation:

This point represents the amount of money the computer was worth at its lowest point.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Explain the error in the work shown. Find the correct answer.
    10·2 answers
  • a multiple choice test contains 50 questions with 4 answer choices. what is the probability of correctly answering 15 questions
    9·1 answer
  • Amanda purchased a 30 year $10,000 bond at par value with a 4% coupon. What is the total value of the coupons
    6·2 answers
  • Una diseñadora de modas que confecciona trajes de noche, tarda 3 horas en cortar y 2 horas en coser cada vestido de fiesta. Para
    13·1 answer
  • You are a receptionist at a doctor's office. A patient's bill for a checkup totals $85.00. The patient's health insurance requir
    14·1 answer
  • A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4,
    13·1 answer
  • ∆ABC has side lengths of 10 units, 20 units, and 24 units. ∆XYZ is similar to ∆ABC, and the length of its longest side is 60 uni
    13·2 answers
  • At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion ring
    7·1 answer
  • The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 a
    9·1 answer
  • Miquel went to the grocery store to buy tomatoes. He picked up 6 tomatoes and took them to the counter.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!