Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?

Answers

Answer 1

Answer:

5.196 m

Step-by-step explanation:

p = La perpendicular del triángulo es la longitud de la antena.

h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m

[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]

De las funciones trigonométricas sabemos que

[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]

La longitud de la antena es 5.196 m.

Una Antena De Televisin Ser Sujeta Con Un Cable De 6 M De Longitud De La Parte Superior De La Misma,

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Which equation is parallel to a line with a slope of 2 and passes through (2, -1)

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Answer:

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Step-by-step explanation:

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Answers

Answer:  1/3

Work Shown:

f(x) = (x+2)/x

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Which statement correctly describes the location of the incenter of a triangle?
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B)

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C)

The incenter is closest to the shortest side of the triangle.

D)

The incenter is closest to the longest side of the triangle.

Answers

9514 1404 393

Answer:

  B)  The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

Please help with this question; I need to prove to my parents I am not as much of a disappointment to them as they think I am.

Answers

Answer:

ΔABD ≅ ΔCBD by SAS Congruence Postulate (Option C)

Step-by-step explanation:

In ΔABD & ΔCBD ,

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Answer:

Triangles ABD and CBD are congruent by SAS.

Step-by-step explanation:

Sides AD and CD are congruent since they both measure 15.

Angles ADB and CDB are congruent because of the angle bisector.

Side DB is congruent to itself.

By SAS, triangles ABD and CBD are congruent.

Answer: Triangles ABD and CBD are congruent by SAS.

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Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The price of a remote control car was reduced from $200 to $120. By what percentage was the
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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

S = ut + 1/2 at squared


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Answers

Answer:

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Step-by-step explanation:

Given

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Answers

Answer:

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Answers

Answer:

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Answers

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9514 1404 393

Answer:

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Step-by-step explanation:

If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...

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where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.

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9514 1404 393

Answer:

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Step-by-step explanation:

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Answers

the answer is the first one 9(1+6)

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Correct on edg

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Answers

Complete question is;

In a survey of 565 U.S. businesses, 430 of these companies indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.

Is there sufficient evidence to conclude that more than 75% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)

Answer:

There's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

Step-by-step explanation:

Population proportion; p^ = 430/565 = 0.761

Sample proportion; p = 75% = 0.75

Significance level; α = 0.01

Sample size; n = 560

Let's define the hypotheses;

Null hypothesis; H0: p = 0.75

Alternative hypothesis: p > 0.75

Formula for the test statistic is;

z = (p^ - p)/√[p^(1 - p^)/n]

z = (0.75 - 0.761)/√(0.75(1 - 0.75)/560)

z = -0.011/√0.00033482143

z = -0.011/0.0183

z = -0.60

From online p-value from z-score calculator attached, using; z = -0.60, significance level = 0.01, one tailed hypothesis, we have;

P-value ≈ 0.2743

The p-value is greater than the significance level and so we will fail to reject the null hypothesis and conclude that there's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

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