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musickatia [10]
2 years ago
11

The plan of a terrace is shown at right. The scale is 2 inches : 6 feet. What are the length and width of the terrace? Find the

terrace’s area.
Can someone answer this and explain it?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
3 0

The length and width of the terrace are 15 feet and 6 feet respectively.

The area of the terrace is 90 ft²

The scale of the plan is 2 inches : 6 feet.

Therefore, 2inches represents 6 feet.

According to the drawing;

  • length = 5 inches
  • width = 2 inches

Therefore,

  • length of the terrace = 5 × 6 / 2 = 30 / 2 = 15 feet
  • width of the terrace = 2 × 6 / 2 = 12 / 2 = 6 feet

The area can be found as follows:

<h3>Area of a rectangle:</h3>
  • area = lw

where

l = length

w = width

Therefore,

area = 15 × 6 = 90 feet²

learn more on scale here: brainly.com/question/147532

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Read 2 more answers
You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
3 years ago
1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?
ArbitrLikvidat [17]

Answer:

1. y = (⅔)x - 3

2. y = 3x + c

3. 1) non-proportional

2) can be proportional if c = 0

Step-by-step explanation:

1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?

y = (⅔)x - 3

2. What is the equation of a line that has a slope of 3?

y = 3x + c

3. Lable the 2 equations as proportional or non-proportional and why.

A proportional relation should pass through the origin, i.e the y-intercept should be 0

3 0
3 years ago
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