27.01.2020

# A package designer wants the hexagonal base of a hat box to have an area of about 200 in.2. About how long is each side?

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24.06.2023, solved by verified expert

Step-by-step explanation:

Area of a hexagon = 3√3/2 a²

a is the length of each side

Given

Area of the hexagon = 200in²

Substitute

200 = 3√3/2 a²

200×2 = 3√3 a²

400 = 3√3a²

a² = 400/3√3

a² = 400/5.196

a² = 76.982

a = √76.982

a = 8.774

Hence the length of each side is about 9inches long (to nearest inches)

### Faq

Mathematics

Step-by-step explanation:

Area of a hexagon = 3√3/2 a²

a is the length of each side

Given

Area of the hexagon = 200in²

Substitute

200 = 3√3/2 a²

200×2 = 3√3 a²

400 = 3√3a²

a² = 400/3√3

a² = 400/5.196

a² = 76.982

a = √76.982

a = 8.774

Hence the length of each side is about 9inches long (to nearest inches)

Mathematics

The answer is in the image

Mathematics

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Mathematics

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make \$108 in \$1800 sales

Mathematics

The answer is in the image

Mathematics

The solution is given in the image below

Mathematics

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make \$108 in \$1800 sales

Mathematics

The answer is in the image

Mathematics