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photoshop1234 [79]
3 years ago
5

A guide wire of length 108 meters runs from the top of an antenna to the ground. If the angle of elevation to the top of the ant

enna is 42.3 degrees, then what is the height of the antenna
Mathematics
1 answer:
netineya [11]3 years ago
5 0

Answer: Approximately 72.69 meters

Step-by-step explanation:

  • Antenna height = h

sin(42.3)=\frac{opposite}{hypotenuse} =\frac{h}{108} \\\\108*sin(42.3)=h\\\\h=72.685

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For what values of x is the rational expression below undefined?
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What is the mean of these numbers?4,5,5,2,3,3,2,8
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2 years ago
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Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she
DIA [1.3K]

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

The viewer represents the correct answers with x and the incorrect ones with y.

x+y = 20

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and for every incorrect answers, -1 point

This can be written as

2x-y = 28

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

now

2x-y = 28

x+y = 20

On adding the equations

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x = 16

y = 4

This means that the contestant answered 16 questions correctly and 4 questions incorrectly

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.

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brainly.com/question/10413253

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3 0
2 years ago
What is the measure of ∠L?
otez555 [7]
<h3>Answer:  72.54</h3>

====================================================

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

8 0
2 years ago
1. What is the relationship of ratios and proportions? Give an example of a proportion.
shepuryov [24]
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3 years ago
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