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3 years ago

It’s a simple algebra question please answer the picture

Mathematics

1 answer:

Shtirlitz [24]3 years ago

4 0

Answer:

JL = 62 (units)

Step-by-step explanation:

OK, Here we can use the part whole postulates theorem to assist us:

JL consists of parts JK + KL such that, through substitution,

5x + 2 = 27 + ( 3x - 1 )

Here we can solve for x to determine 5x + 2, and thus the value of JL:

5x + 2 = 27 + 3x - 1

2x + 2 = 27 - 1

2x + 2 = 26

2x = 24

x = 12

Substitute the value of x for 5x + 2, to get JL:

JL = 5 (12) + 2

JL = 60 + 2

JL = 62 (units)

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$r$ - 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:

$s \approx r$

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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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