3 years ago

How much binding is needed to bind the edge of a circular rug that is 3m in diamter

Mathematics

2 answers:

Pavel [41]3 years ago

8 0

You multiply pi times 3m which equals 9.42

Anuta_ua [19.1K]3 years ago

5 0

You need to find the circumference

C= d x pi
C=3 x 3.14
C= 9.42

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Answer:

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Step-by-step explanation:

since 2/9 is a bit small

and

since 10/11 is almost whole

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3 years ago

If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

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The first term is 2 and the 20th term is 1048576 .

Step-by-step explanation:

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

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3 years ago

Solve 2x2 + x − 4 = 0. x^2 + ____x+____ = 0

alisha [4.7K]

Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0

And please include the instructions.

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Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0

Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0

Then (x+(1/4))^2 = (1/4)^2

Taking the sqrt of both sides: x+1/4 = plus or minus 1/4

Solving for x: x = -1/4 plus or minus 1/4

Solving for x (continued): x = 0 and x = -1/2

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3 years ago

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