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3 years ago

13

I WILL GIVE BRAINLIEST 50 POINTS Find x. Round your answer to the nearest tenth of a degree.

2 answers:

sveta [45]3 years ago

8 0

Answer:

c = 30.8 (nearest tenth)

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 21
b = 22.5

Substitute given values into the formula and solve for c:

⇒ 21² + 22.5² = c²

⇒ 947.25 = c²

⇒ c = ±√(947.25)

⇒ c = ±30.8 (nearest tenth)

As distance is positive, c = 30.8 (nearest tenth) only

Angelina_Jolie [31]3 years ago

3 0

#b

$\\ \rm\rightarrowtail tan47=\dfrac{b}{21}$

$\\ \rm\rightarrowtail b=21tan47$

$\\ \rm\rightarrowtail b=22.5$

#c

$\\ \rm\rightarrowtail cos47=\dfrac{21}{c}$

$\\ \rm\rightarrowtail c=21/cos47$

$\\ \rm\rightarrowtail c=30.88$

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Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.

insens350 [35]

Answer:

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Step-by-step explanation:

Given

$p(x) = \frac{x^2-2x-3}{x+2}$ -- Missing from the question

Required

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Expand the numerator

$p(x) = \frac{x^2 + x -3x - 3}{x+2}$

Factorize

$p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}$

Factor out x + 1

$p(x) = \frac{(x -3)(x + 1)}{x+2}$

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

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As x leaves -2 implies that: $x>-2$

Say x = -2.1

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We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

$x->-2^{+}, p(x)->-\infty$

So, the behavior is:

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3 years ago