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frosja888 [35]
3 years ago
8

A triangle has side lengths of n, n – 3, and 2(n − 2). If the perimeter of the triangle is at least 37 units, what is the value

of n?
OA.

n> 11

OB

n> 8

O C.

n > 10.5

OD

n > 7.5
Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:

n = 11

Step-by-step explanation:

The side length of a triangle are n,n-3 and 2(n-2).

The perimeter of the triangle, P = 37 units

We need to find the value of n.

Perimeter = sum of all sides

n+n-3 +2(n-2) = 37

2n-3+2n-4 = 37

4n -7 = 37

4n = 37+7

4n = 44

n = 11

So, the value of n is 11.

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In the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this
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Answer:

181 penguins on the last day of June.

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Step-by-step explanation:

We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.  

First of all we need to find number of days in January to June.    

January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.

\text{Days from January to June}=31+28+31+30+31+30

\text{Days from January to June}=181

Since penguin family receives 1 penguin each day, so 181 penguins will be in 181 days.

Therefore, the penguin family will have 181 penguins on the last day of June.

Now, we need to find the day, which will be on 250th day.

We already know that 181st day would be 30th June.

We know that July and August each has 31 days, so we will add 62 days to 181 that is 181+62=243.

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3 years ago
A circle with a radius of 7 inches
Maslowich
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4 years ago
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If f(1) = 2 and f(n) = f(n − 1)² + 4 then find the value of ƒ (3).
erma4kov [3.2K]

Answer:

f(3) = 68

Step-by-step explanation:

→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4

                     = f²(1) + 4

                     = 2² + 4

                     = 8

………………………………………………

→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4

                      = f²(2) + 4

                      = 8² + 4

                      = 64 + 4

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