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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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A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and
soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

= \tt \frac{1}{10}  \: of  \: 1200

=\tt  \frac{1}{10}  \times 1200

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\color{plum} =\tt\$ \: 120

▪︎Thus, the first son inherited $120.

Money the second son got :

= \tt \frac{3}{10}  \: of  \: 1200

= \tt \frac{3}{10}  \times 1200

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= \tt \frac{3600}{10}

\color{plum} =\tt \$360

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Money the third son got :

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We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

= \tt720 - 120

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<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

7 0
3 years ago
The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat
vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is  given that the

N (μ , σ).

Here μ is 2 hours then

μ  = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

5 0
1 year ago
-3x -4y = 20 x - 10y =16 if (x, y) is the solution to the system of equations above what is the value of x?
balu736 [363]
Multiply first equation by -5 and 2nd by 2, add them

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17x+0y=-68

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x=-4
 

the x value is -4
6 0
3 years ago
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