Mathematics: A circle has a radius that measures 10 centimeters. What is the area of the circle to the nearest tenth? Use 3.14 for pi. Group of answer choices B. 314cm2 A. 62.8cm2A circle has a radius that measures 10 centimeters. What is the area of the circle to the nearest tenth? Use 3.14 for pi. Group of answer choices B. 314cm2 A. 62.8cm2

A circle has a radius that measures 10 centimeters.

Ответ:

mya1318

22.01.2022

Mathematics

Radius(R)=10cm

We know,

Area of circle(A)=πr^2

=3.14×10^2

=3.14×100

=314cm^2

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Ответ:

Flowershere121

15.06.2021

Mathematics

$\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

In other words, the in $f(x) = 3\, \tan(23\, x)$ could be any real number as long as $x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)$ for all integer (including negative integers.)

Step-by-step explanation:

The tangent function $y = \tan(x)$ has a real value for real inputs as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer .

Hence, the domain of the original tangent function is $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

On the other hand, in the function $f(x) = 3\, \tan(23\, x)$ , the input to the tangent function is replaced with $(23\, x)$ .

The transformed tangent function $\tan(23\, x)$ would have a real value as long as its input $(23\, x)$ ensures that $23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer .

In other words, $\tan(23\, x)$ would have a real value as long as $x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right)$ .

Accordingly, the domain of $f(x) = 3\, \tan(23\, x)$ would be $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

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