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3 years ago

Suppose the radius of a circle is 4. What is its area?

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Area= r*r*π (π ≈ 3.14)
⇒ Area= 4*4* π= 50.265

The area of the circle is 50.265~

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There are 12800 films on Netflix. 9% of the films are horror. How many films are horror?

Lady_Fox [76]

Answer:

1152

Step-by-step explanation:

You multiply the 12800 films by 9% to get your answer.

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3 years ago

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Which of the following numbers is between 0.40 and 0.47?

ira [324]

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

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3 years ago

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andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

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2 years ago

Calculate the value of <br> x<br> .

Anika [276]

Answer:

25 degrees

Step-by-step explanation:

2x plus 310 degrees add up to a full circle: 360 degrees.

Therefore, 2x = 360 - 310, or 2x = 50, or x = 25 degrees

5 0

3 years ago

1.825 rounded to the nearest hundredth

Alenkinab [10]

The answer is 1.83
you look to the number after the hundreds place which is 5. the rule is that is that place is 5 or more then you can round up with the hundreds place which turned the 2 into a 3

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3 years ago