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3 years ago

60

Mathematics

2 answers:

Simora [160]3 years ago

7 0

Answer:

Expression for percent of survey participants who chose fishing =

Explanation:

Total number of boys = 60

Number of boys who took part in survey = 18 + 29 =47

Number of boys who chose fishing = 29.

Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

Percentage of boys who chose fishing = (29/47)x100

Expression for percent of survey participants who chose fishing =

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Step-by-step explanation:

DedPeter [7]3 years ago

4 0

Expression for percent of survey participants who chose fishing =

Explanation:

Total number of boys = 60

Number of boys who took part in survey = 18 + 29 =47

Number of boys who chose fishing = 29.

Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

Percentage of boys who chose fishing = (29/47)x100

Expression for percent of survey participants who chose fishing =

Hope I helped! :)

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

kap26 [50]

Answer:

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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Step-by-step explanation:

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1 and half hour
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