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3 years ago

Log4 x + log4(x-12)= 3

Mathematics

1 answer:

stellarik [79]3 years ago

6 0

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hello there

the answeer is

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3 years ago

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Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)

Vilka [71]

For a cartesian equation
$x=r\cos\theta \ and \ y=r\sin\theta \\ \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\ \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\ \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}$

Given r = <span>10 tan(θ) sec(θ)
$r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\ \\ \Rightarrow10y=x^2 \\ \\ \Rightarrow y= \frac{1}{10} x^2$

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3 years ago

What is the exact value of 11.68 - 0.48 ÷ (-1.6) =

Ann [662]

Answer:

11.93

Step-by-step explanation:

Order of Operations rules require that we do the division first:

-0.48 48

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-1.6 1600

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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

Rama09 [41]

Check the picture below.

now, we have a triangle with all three sides, thus we can use Heron's Area Formula on the triangle.

$\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=10\\ b=26.695\\ c=22\\ s=29.3475 \end{cases} \\\\\\ A=\sqrt{29.3475(29.3475-10)(29.3475-26.695)(29.3475-22)} \\\\\\ A=\sqrt{29.3475(19.3475)(2.6525)(7.3475)}\implies A\approx \sqrt{11066.007} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 105.195~\hfill$

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2 years ago

The government published the following stem-and-leaf plot showing the number of sloths at each major zoo in the country: pls ans

Sveta_85 [38]

Answer:

Step-by-step explanation:

If 4 | 1 = 41, that means that when you're looking at the number, you basically see it without the "|". If you see it that way, the smallest number would be 03.

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