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Ilya [14]
3 years ago
10

a guy wire is attached to a tree 3.5ft above the ground to stabilize it. if the guy wire forms an angle with the tree of 50°, wh

at is the length of the guy wire?
Mathematics
1 answer:
balandron [24]3 years ago
4 0
The plane figure formed by the ground, the guy wire, and the tree is a right triangle with the hypotenuse equal to length of the guy wire. The angle given is an angle adjacent to 3.5 ft. Therefore, the most suitable trigonometric function for this is,
                                  cos (50°) = adjacent / hypotenuse
                                   cos 50° = 3.5 ft / hypotenuse
The value of the hypotenuse is 5.445 ft. 
Hence, the length of the guy wire is approximately 5.445 ft. 
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Answer:

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Step-by-step explanation:

Given 20x^{2}-30=4x

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Since we can factor out 2 from whole equation, let's factor out 2.

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Divide with 2 on both sides

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We got the quadratic equation, we can solve for x using quadratic formula.

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x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}

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8 0
3 years ago
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And from the problem we know the following:

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So then the expected number of new employees to be hired by the​ airline based on the conditions given is between 395 and 396.

Step-by-step explanation:

For this cae we can define the random variable X who represent the number of new employees to be hired by the​ airline and we can find the expected value with the following general formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And from the problem we know the following:

P(X_1) = 0.34 , X_1 =858 represent the condition if the route is approved

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Then replacing in the formula for the expected value we got:

E(X) = 858*0.34 + 157*0.66 = 395.34

So then the expected number of new employees to be hired by the​ airline based on the conditions given is between 395 and 396.

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