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3 years ago

What is the circumference of a circle with a radius of 24 meters? Use 3.14 for pi.

Mathematics

2 answers:

castortr0y [4]3 years ago

7 0

The circumference would be C. 150.72 meters

Ket [755]3 years ago

4 0

Option C

well without using 3.14 pi if im correct the value of it would be C=2πr=2·π·24≈150.79645 so its in the area of option C.

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matrenka [14]

Answer:

Step-by-step explanation:

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3 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

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4 years ago

Divide 2.2 and 41.5 :)

tatyana61 [14]

Answer:

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Step-by-step explanation:

NEVER GONNA GIVE YOU NEVER GONNA LET YOU DOWN

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3 years ago

Car leases generally allow only a certain number of miles to be driven. Myung’s lease included a charge of 25 cents per mile for

faust18 [17]

Answer:

36,000

Step-by-step explanation:

if you multiply 12,000 and 3 you get 36,000.

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3 years ago

Gina has a meeting in 45 minutes. She is driving at a rate of 30 mi/hr. If she is 24 mi away , will she arrive on time? If not,

garri49 [273]

If she is driving at 30 miles a hour it takes two minutes to cover a mile 60 divided by 30

if she is driving at 2 minutes a mile and is going 24 miles it will take 48 minutes

2*24 =48

solution she is a slow driver she needs to pick up the pace or she will be 3 minutes late to work

45-48=-3

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4 years ago