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3 years ago

A circle has a diameter of 24 units. Find the circumference and area of the circle in terms of π.

Mathematics

2 answers:

enyata [817]3 years ago

7 0

Circumference=24 pi
Area=144 pi, shown clearly in photo

Aloiza [94]3 years ago

7 0

Answer:

C ≈ 75.4

A ≈ 452.39

Step-by-step explanation:

r = d/2 = 24/2 = 12

Circumference = 2πr = 2·π·12 ≈ 75.39822 ≈ 75.4

Area = π $r^2$ = π· $12^2$ ≈ 452.38934 ≈ 452.39

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Please help me with sum

krok68 [10]

Step-by-step explanation:

39 x 9 = 351

16 x 8 = 128

36 x 3 = 108

28 x 4 = 112

79 x 6 = 474

15 x 3 = 45

28 x 4 = 112

12 x 7 = 84

38 x 2 = 76

95 x 3 = 285

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7 0

3 years ago

Identify the following sequences as arithmetic, geometric, or neither. For the arithmetic and geometric sequences, identify the

Lapatulllka [165]

Hence,

a. 12, 144, 1728,.. => Geometric

b. 0,5, 10, 15, 20, 25,... => Arithmetic

c. 0,4, 16, 36, 64,... => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

Step-by-step explanation:

In order to identify the sequence as geometric or arithmetic sequence, we find the common difference and common ratio of the sequence. If the common difference is same, it is an arithmetic sequence and if the common ratio is same the sequence is a geometric sequence

Common difference is the difference between consecutive terms of an arithmetic sequence and common ration is the ratio between two consecutive terms of a sequence

So,

a. 12, 144, 1728,..

Here,

$a_1=12\\a_2=144\\a_2=1728$

Common difference:

$d=a_2-a_1 = 144-12 = 132\\=a_3-a_2 = 1728-144=1584$

Common Ratio:

$r=\frac{a_2}{a_1} =\frac{144}{12} = 12\\=\frac{a_3}{a_2}=\frac{1728}{144} =12$

As the common ratio is same, the given sequence is a geometric sequence.

b. 0,5, 10, 15, 20, 25,...

Here,

$a_1 = 0\\a_2 =5\\a_3 =10$

Common difference:

$d=a_2-a_1 = 5-0 = 5\\d=a_3-a_2 = 10-5 = 5$

As the common difference is same, the given sequence is an arithmetic sequence

c. 0,4, 16, 36, 64,...

Here

$a_1 = 0\\a_2 =4\\a_3 = 16\\a_4 = 36$

Common Difference:

$d= a_2-a_1 = 4-0 = 4\\a_3-a_2 = 16-4 = 12$

Common Ratio:

$r=\frac{a_2}{a_1} = \frac{4}{0} = Doesn't\ exist$

Neither the common ratio nor common difference are same, so the given sequence is neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,...

Here

$a_1 = 1.5\\a_2 = 2.25\\a_3 = 3.375$

Common Difference:

$d=a_2-a_1 = 2.25-1.5 = 0.75\\a_3-a_2 =3.375-2.25 = 1.125[/tex]Common Ratio: [tex]r=\frac{a_2}{a_1} = \frac{2.25}{1.5}=1.5\\=\frac{a_3}{a_2} =\frac{3.375}{2.25}=1.5$

As the common ratio is same, given sequence is geometric

Hence,

a. 12, 144, 1728,.. => Geometric

b. 0,5, 10, 15, 20, 25,... => Arithmetic

c. 0,4, 16, 36, 64,... => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

Keywords: Sequence, Ratio

Learn more about sequences at:

#LearnwithBrainly

4 0

3 years ago

√-225 • √-36 . show work.

Darya [45]

Answer:

±90

Step-by-step explanation:

√(-225) · √(-36) = (15i)·(6i) = 90i² = 90·(-1) = -90

_____

On the other hand, ...

... √(-225) · √(-36) = √((-225)·(-36)) = √8100 = 90

___

If you consider all the roots at each stage, the result is ±90. Since you're working with complex numbers here, it is reasonable to recognize every number has two square roots.

... √(-225) = ±15i

... √(-36) = ±6i

... √(-225) · √(-36) = (±15i)·(±6i) = ±90i² = ±90

7 0

3 years ago

Really easy! PLEASE HELP, I Will mark Brainliest

zlopas [31]

Answer:

(x,y)=(-5,5)

Step-by-step explanation:

7 0

3 years ago

Which best explains what determines whether a number is irrational?

rusak2 [61]

1.) Is 64 squared rational or irrational?
Ans: Rational
----------------
2.) Is -1.2 repeating decimal rational or irrational?
Every repeating decimal is rational.
Every non-repeating decimal is irrational.
All whole numbers are rational.
All fractions are rational.
nth roots of a^k are irrational unless k is a multiply of n.
Example: The cube root of 3^6 is rational but the cube root of 3^5 is not.
Cheers,
Stan H.

6 0

3 years ago

Read 2 more answers