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professor190 [17]
3 years ago
14

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area o

f a geometrically similar patio is 250 square feet, and it’s long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio
Mathematics
1 answer:
nevsk [136]3 years ago
7 0
The length of the new patio will be evaluated as follows:
The area scale factor=(area of new patio)/(area of original patio)
=360/250
=36/25
but
Linear scale factor=√(area scale factor)
Linear scale factor=√(36/25)=6/5
thus the length of the patio will be:
length=(linear scale factor)*(length of the original patio)
=6/5×12.5=15 ft
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During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was
butalik [34]

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

2*2=4

Therefore, the estimated time is less 4 hours.

To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.

First of all, we will convert mixed fractions into improper fractions as:

1\frac{2}{3}=\frac{5}{3}

1\frac{4}{5}=\frac{9}{5}

Now, we will multiply both fractions as:

\frac{5}{3}\times \frac{9}{5}

\frac{1}{3}\times \frac{9}{1}

\frac{9}{3}\Rightarrow 3

Therefore, the 2nd debate was 3 hours long.

5 0
3 years ago
¿What is 30% of 80?​
natka813 [3]

Turn the percentage into a decimal

30% = 0.3

Multiply.

80 * 0.3 = 24

Best of Luck!

3 0
3 years ago
Read 2 more answers
Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles
Mnenie [13.5K]

Answer:

D. \frac{16}{5}

Step-by-step explanation:

3\frac{1}{5}

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

3*5=15

Then, add this number to the numerator.

15+1=16

This number is now the numerator of the fraction. The denominator stays the same.

\frac{16}{5}

I hope this helps!

5 0
3 years ago
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If total revenue is 3000,cost of goods is $1500, and a total selling expensesis $500; what is the profit for business?
tekilochka [14]
This sounds like simple addition & subtraction.
Total revenue = $3,000
Cost of goods = $1,500
Total expenses = $500
Profit = x
x = 3,000 - 1,500 + 500
x = 3,000 - 2000
x = 1,000
Profit for the business is $1,000
6 0
3 years ago
You borrow $3750 to buy new fitness equipment.The simple interest rate is 2%. You pay the loan off after 4 years. What is the to
Alinara [238K]
Provided the 2% interest rate. The interest itself over a period of 4 years, compounds to $300. Thus, the total interest plus the cost of the fitness equipment would be a total of, $4,050.
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3 years ago
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