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3 years ago

How to get OYC I don't get what to do

Mathematics

2 answers:

cluponka [151]3 years ago

4 0

The answer is 114, because they are alternate interior angles, so they are equal

IRISSAK [1]3 years ago

4 0

It doesn't ask you for OYC. It asks for OZF. Since OZF and BXO are alternate interior angles of parallel lines, OZF is also 114 degrees, just like BXO.

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Using the example in #8, find the value of x

RUDIKE [14]

Answer:

SolutioN :

Set up an equation & solve for x :

$\star \tt \: 15x - 7 - 3x + 151 = 180$ [ Sum of co-interior angles ]

$\longrightarrow \tt \: 12x + 144 = 180$

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$\longrightarrow \tt \: x = \boxed{ \tt{3}}$

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3 years ago

Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin

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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]

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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3 years ago