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3 years ago

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Mathematics

2 answers:

lina2011 [118]3 years ago

8 0

Answer:

The approximate area of the regular pentagon is 423 sq.cm.

Step-by-step explanation:

Formula of area of regular pentagon = $\frac{Pa}{2}$

P=Perimeter of pentagon

a=Apothem

Side of pentagon = 14.1 cm

Perimeter of pentagon = $5 \times Side = 5 \times 14.1=70.5$

Apothem=12 cm

Area of regular pentagon = $\frac{70.5 \times 12}{2}=423 cm^2$

Hence the approximate area of the regular pentagon is 423 sq.cm.

Irina18 [472]3 years ago

3 0

Answer:

The answer is C on Edge 2020

Step-by-step explanation:

I did the Exam

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At the mall, buying a pair of shoes and buying a book are independent events.The probability that a shopper buys shoes is 0.15.

IRISSAK [1]

Answer:

The probability that a shopper buys shoes and a book is 0.015

Step-by-step explanation:

we are given

The probability that a shopper buys shoes is 0.15

so, we have

$p(s)=0.15$

The probability that a shopper buys a book is 0.10

so, we have

$p(b)=0.10$

the probability that a shopper buys shoes and a book can be written as

p(s∩b)

we are given that

s and b are independent

so,

p(s∩b) $=p(s)\times p(b)$

now, we can plug values

p(s∩b) $=0.15\times 0.10$

p(s∩b) $=0.015$

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3 years ago

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Can 2 yards and 60 inches be expressed as a ratio

Mariulka [41]

Yes, because it is the same thing as 1:30.

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3 years ago

The domain of y=sqrt x-5-1 is

Anastaziya [24]

Answer:

The domain is the interval [5,∞)

Step-by-step explanation:

we have

$y = \sqrt{x-5}-1$

we know that

The radicand (number under a radical) must be greater than or equal to zero

$x-5\geq 0$

solve for x

Adds 5 both sides

$x-5+5\geq 0+5$

$x\geq 5$

therefore

The domain is the interval [5,∞)

All real numbers greater than or equal to 5

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What is this graph in vertex form?

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Answer:+ 2+1

Which function in vertex form is equivalent to J (2) = x

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3 years ago

A movie theater charges $4.50 for children and $8.00 for adults. On a certain day, 1200 people enter the theater and $8375 is co

Lady bird [3.3K]

Answer:

The number of adults who attended=850

The number of children who attended=350

Step-by-step explanation:

a). Determine first expression

Let the number of each group be as follows;

adults=a

children=c

total number of people=1200

This can be expressed as;

number of people=number of children+number of adults

replacing;

a+c=1200...equation 1

b). Determine the second expression

Let the total cost be expressed as shown;

total cost=(cost per child×number of children)+(cost per adult×number of adults)

where;

total cost=$8,375

cost per child=$4.5

number of children=c

cost per adult=$8

number of adults=a

replacing;

(8×a)+(4.5×c)=1,200

8 a+4.5 c=8,375...equation 2

c). Combine equation 1 and 2 and solve simultaneously

1(8 a+4.5 c=8,375)

4.5(a+c=1,200)=4.5 a+4.5 c=5,400

(8 a-4.5 a)+(4.5 c-4.5 c)=(8,375-5,400)=2,975

3.5 a=2,975

a=2,975/3.5

a=850

replacing the value for a in equation 1

850+c=1200

c=1200-850=350

The number of adults who attended=850

The number of children who attended=350

4 0

3 years ago