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Nat2105 [25]
3 years ago
5

The diameter of a circle is 3 times the side length of a square . If the square has an area if 144, what is the length of the ra

dius in the circle?
Mathematics
1 answer:
stellarik [79]3 years ago
5 0
If the square's area is 144, then the two sides are both 12.
The diameter is 3 times the side length (12): 3*12=36
The radius is half of the diameter: 36/2=18

The radius is 18
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What is the area of a regular octagon with a apothem of 16 inches long and a side of 19 in Long round the answers to the nearest
azamat
To find the area of any regular (regular means all sides are = and all angles are =)  poylgon when you know the length of the apothem and the length of the side you can use the formula:
A = (1/2)ap where a = the length of the apothem and p = the perimeter of the polygon. You can also use n*s in place of p where n = the number of sides of the polygon and s = the length of the side.

A= (1/2)(16)(19*8) (An octagon has 8 sides.)
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3 0
3 years ago
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3^x = 27^a+b and a^2-b^2/(a-b)=5 What is x?
Colt1911 [192]
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4 0
3 years ago
What is the explicit formula for this sequence?<br><br> −7, −4, −1, 2, 5, …
VikaD [51]

The explicit formula for the sequence is 3n -10

<h3>What is an Arithmetic Sequence ?</h3>

An arithmetic sequence is a series of terms which have  common difference between its consecutive numbers.

The sequence given is

−7, −4, −1, 2, 5, …

The common difference between each term is d =3

-4-(-7) = 3

-1-(-4) =3

The nth term for a sequence is given by

\rm T_n =  a +(n-1)d

Here a is the first term = -7

n is the no. of terms  = n

d is the common difference = 3

Therefore the equation will be

\rm T _n = -7 + (n-1) * 3

\rm T _n = -7 +3n -3

\rm T _n = 3n -10

Therefore the explicit formula for the sequence is 3n -10 .

To know more about Arithmetic Sequence

brainly.com/question/15412619

#SPJ1

7 0
2 years ago
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