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Ne4ueva [31]
3 years ago
12

A civil engineer creates a scale model of a rectangular park. The model has a width of 8 cm and covers an area of 96 square cm.

The actual park is designed to have a width of 72 meters. ​ How many square meters is the actual park?
Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

The actual park has 0.7776 square meters

Step-by-step explanation:

To solve this we first have to find the value of the scale

We know that the width of the model is 8cm and that of the true park is 72cm², so if we divide 72 by 8 we will obtain the value of the scale

72 / 8 = 9

To find out how much the park area has, the park first we have to multiply 96cm² by the scale

As the scale of 9 is made for width and length, when we calculate the area it will be multiplied 2 times by 9, so to calculate the real area we have to multiply it 2 times

96cm² * 9 * 9 = 7776cm²

if we want the result in square meters we simply have to divide the result by 100²

7776cm²/100² = 7776cm² / 10,000

0.7776m²

The actual park has 0.7776 square meters

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Which is not equivalent to the rest 13/20 66% 195/300 0.6500
Ganezh [65]
Hey there! :)

Let's change all the fractions and percents to decimal.
_____________________________________________________________

When changing fractions to decimal, divide the numerator by the denominator
When changing percents to decimal, remove the % sign and move the decimal to places to the left.
_____________________________________________________________

13 ÷ 20 = 0.65
66% = 0.66
195 ÷ 300 = 0.65
0.6500 = 0.65
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The answer is 66% because it is the only one that isn't equivalent to 0.65

Hope this helps :)
8 0
3 years ago
Nila uses the equation c=8h to figure out the total amount c she should charge a customer if she babysits for h hours.
nydimaria [60]

Answer:

c = 10h

Step-by-step explanation:

c = 8h

Where,

c = Total amount she should charge a customer

h = Number of hours

8 = amount charged per hour of babysitting

A. 8 is the constant of proportionality and it means Nila charges $8 per hour of babysitting

B. If she decides to increase the rate she charges customers by $2 per hour, then the new equation she should use to determine how much to charge her customers is:

c = (8 + 2)h

c = 10h

3 0
2 years ago
A sign painter paints individual numerals for a row of 50 houses. The houses are numbered with consecutive integers from 1 to 50
Iteru [2.4K]
Answer: 5

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So there are 5 houses with 9s painted
3 0
2 years ago
PLEASE HELPP!!!!!!
frosja888 [35]

Answer:

1:144

Step-by-step explanation:

if each floor is 15 feet, the whole building is 60 feet tall. so it does have a scale of 5 inches:60 feet but if you simplify that, its 1 inch: 12 feet, so you convert feet into inches by multiplying by twelve, which gives you a scale of 1:144 inches

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