06.08.2020

A rectangle has an area of 18 square feet. A similar rectangle 1 has an area of 160 square feet. What is the ratio of the areas of these

similar rectangles?

. 1

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24.06.2023, solved by verified expert
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A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49

Step-by-step explanation:

Given

A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49 --- Area of smaller rectangle

A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49 --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49

Substitute values for A2 and A1

A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49

A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49

Simplify the fraction

A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49

Represent as ratio

A rectangle has an area of 18 square feet. A, №17886634, 06.08.2020 20:49

Hence, the ratio of the rectangles is 1 to 9

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Mathematics
Step-by-step answer
P Answered by PhD

Ratio = 9 :80

Step-by-step explanation:

Given

A_1 = 18ft^2 --- Area of smaller rectangle

A_2 = 160ft^2 --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

Ratio = \frac{A_1}{A_2}

Substitute values for A2 and A1

Ratio = \frac{18ft^2}{160ft^2}

Ratio = \frac{18}{160}

Simplify the fraction

Ratio = \frac{9}{80}

Represent as ratio

Ratio = 9 :80

Hence, the ratio of the rectangles is 1 to 9

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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