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2 years ago

If I have a candy bar divided into 6 equal parts, and I eat 2 of the parts, what fraction of the candy bar did I eat?

Mathematics

2 answers:

Afina-wow [57]2 years ago

6 0

Answer:

2/6 or 1/3

Step-by-step explanation:

Nothing it is just basic mathematics

SVEN [57.7K]2 years ago

3 0

Eaten part=2
Total parts=6

Fraction form

$\\ \tt\rightarrowtail \dfrac{2}{6}$

$\\ \tt\rightarrowtail \dfrac{1}{3}$

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3 years ago

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

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If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

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3 years ago