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3 years ago

Find the arc length on a circle with radius =4 inches and central angle of 30°

Mathematics

1 answer:

Elenna [48]3 years ago

5 0

Answer:

Step-by-step explanation:

I'm assuming you're not doing the pre-calculus version of this equation where your angle is in radians. So we'll do the Geometry version which looks like this:

$AL=\frac{\theta}{360}*2\pi r$

Our angle is 30 and our radius is 4, so we fill in accordingly:

$AL=\frac{30}{360}*2(3.1415)(4)$ (this is if you multiply in pi. We'll find the answer in terms of pi as well).

AL = $\frac{1}{12}*25.132$ and

AL = 2.09433 inches

In terms of pi, the answer would be

AL = $\frac{2}{3}\pi$ inches

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3 years ago

Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

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3 years ago

For f(x) = x3-x2, which gives an output of 48?<br> A. f(-8)<br> B. f(-4)<br> C. f(4)<br> D. f(8)

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Answer:

The input is x−2, therefore

Step-by-step explanation:

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2 years ago

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Yes, because 9*9 is 81

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3 years ago

Which undefined term is needed to define an angle?

Vedmedyk [2.9K]

90 dy gree angle that is whta i know

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3 years ago

Read 2 more answers