29.05.2022

# Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of \$2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is \$.

3

09.07.2023, solved by verified expert

The cost of painting the rectangular board with a semicircular top is \$31.065 to the nearest hundredth.

Step-by-step

How to find the area of the composite figures?

To find area of the composite figures,

Separate the figure.

Calculate the are of the each figure by which the composite figure is made of.

Add the area of all the individual figures to get the total area of composite figures.

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

The radius of the semicircle is 1.5 m. The area of the semicircle is,

The area of the composite figure is,

The rate of  painting is \$2.00 per square foot. Thus the cost to paint the figure is,

Hence, the cost of painting the rectangular board with a semicircular top is \$31.065 to the nearest hundredth.

### Faq

Mathematics

The cost of painting the rectangular board with a semicircular top is \$31.065 to the nearest hundredth.

Step-by-step

How to find the area of the composite figures?

To find area of the composite figures,

Separate the figure.

Calculate the are of the each figure by which the composite figure is made of.

Add the area of all the individual figures to get the total area of composite figures.

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

The radius of the semicircle is 1.5 m. The area of the semicircle is,

The area of the composite figure is,

The rate of  painting is \$2.00 per square foot. Thus the cost to paint the figure is,

Hence, the cost of painting the rectangular board with a semicircular top is \$31.065 to the nearest hundredth.

Mathematics

The answer is in the image

Mathematics

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

The answer is in the image

Mathematics

The total nom of  code that can be used is equal to 5+3 = 8

Mathematics

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Mathematics

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Mathematics

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

The answer is in the image

Mathematics

Here,

tip=18%of \$32

tip=(18/100)*32

=0.18*32

=\$5.76

Total payment=32+5.76=\$37.76

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