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Nesterboy [21]
3 years ago
9

A table is in the shape of a regular pentagon with a side length of 3 feet and an

Mathematics
1 answer:
ehidna [41]3 years ago
8 0

Answer:

15.5 ft²

Step-by-step explanation:

The area (A)  of a regular polygon is calculated as

A = \frac{1}{2} pa ( p is the perimeter and a the apothem )

Here side of regular pentagon is 3 ft, thus

perimeter = 5 × 3 = 15, so

A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )

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Factorise fully p^3 + p^2
nikklg [1K]

Answer:

\huge\boxed{p^3+p^2=p^2(p+1)}

Step-by-step explanation:

p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)

Used:

a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac

3 0
3 years ago
Ms. Clandestine is planning to take her study group on a field trip to an amusement park. The regular cost is $25 per person. Th
DiKsa [7]

Question 1:

Multiply the regular price by the number of people (x)

Y = 25x

Question 2:

Multiply the special rate by number of people(x) and add the cost of the room:

Y = 15x + 150

Question 3:

Replace x with a positive value and solve for y, which will be larger than the x value

Answer (15,375)

Question 4:

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3 0
3 years ago
How much does 1 yard equal??
zhenek [66]
1 yd equals 3 feet. 1 yd equals 36 inches.
5 0
3 years ago
I need to show work and Idk how for 2 or 3. The -5,-2 and 8,3 is the answers just need work shown thanks
prisoha [69]
#2
2x - 4y = -2
2x + 3y = -16
------------------subtract
-7y = 14
y = 14/-7
y = -2

2x - 4y = -2
2x - 4(-2) = -2
2x + 8 = -2
2x = -2 -8
2x = -10
x = -10/2
x = -5
answer x = -2 and y = -5

check:

2(-5)- 4(-2) = -2
-10 +8 = -2
-2 = -2.....true

2x + 3y = -16
2(-5)+3(-2) = -16
-10 + (-6) = -16
-16 = -16...true


3 0
3 years ago
sara found a pair of jeans that was originally marked 85.00 but now have a clearance sticker for 54.50 what percent were the jea
Y_Kistochka [10]
U have to subtract from 85.00 from 54.00
5 0
3 years ago
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