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Lena [83]
3 years ago
11

Helpppppp kddbbbjkluuuu

Mathematics
1 answer:
poizon [28]3 years ago
5 0

How many questions are there?

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A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.
lina2011 [118]

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.

8 0
3 years ago
Read 2 more answers
What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

  • p₁ and  p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

  • p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

8 0
2 years ago
Is y=x^2 a function?
Pie

Answer:

Yes, it is. Functions can only have one output (y) for each input (x). Furthermore, this means each x value will only have one y passing through it. Thus if we plot it on a graph and it passes through a horizontal line more than once, it is not a function. This is called the vertical line test.

3 0
2 years ago
Read 2 more answers
GIVING BRAINLIEST IF YOU CAN HELP PLEASE
alex41 [277]

Answer:

The rate of change will be $25

Step-by-step explanation:

Since she started from $45 we have to count again so on the chart it goes 5, 10, 15, 20, and 25!

<h2 />
3 0
3 years ago
Read 2 more answers
Approximate the value of square root of 44 to the nearest hundred
ryzh [129]
The answer is 6.63 Hope this helps!
7 0
3 years ago
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