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lukranit [14]
2 years ago
15

A construction crew wants to hoist a heavy beam so that it is standing up straight. ey tie a rope to the beam, secure the base,

and pull the rope through a pulley to raise one end of the beam from the ground. When the beam makes an angle of 408 with the ground, the top of the beam is 8 ft above the ground. e construction site has some telephone wires crossing it. e workers are concerned that the beam may hit the wires. When the beam makes an angle of 608 with the ground, the wires are 2 ft above the top of the beam. Will the beam clear the wires on its way to standing up straight? Explain.
Mathematics
2 answers:
rusak2 [61]2 years ago
5 0

I don’t know the work but the correct answers for this problem are....

The length of the beam is 12.45ft, and the height of wires is 12.78ft.

Aliun [14]2 years ago
4 0
Interesting problem ...

The key is to realize that the wires have some distance to the ground, that does not change.

The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:

D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:

L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:

L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)

So the pole is 26.88 ft long!

If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!

Your statement does not mention the distance between the wires and the ground. Do you have it?
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A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 de
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Let the price of a ticket be originally T dollars, and the number of clients be N.

let the price decrease by x  3-dollars.

"there is an average increase of 4 people for every $3 decrease on the price of the ticket."

means:

if the price is decreased by 1-3$:
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if the price is decreased by 2-3$:
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 So if the price is decrease by x-3 dollars:

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"A circus owner sells an average of 340 tickets when the price of a ticket is $75."

In this case N=340, and T=75$

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If the owner decreases the price of the tickets by x-3$, then the revenue will be 
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If R is the function of the revenue depending on x, then 

R(x)=(340+4x)(75-3x) dollars

 
Answer: R(x)=(340+4x)(75-3x) dollars

8 0
3 years ago
What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

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3*(1) + y = 9
3 + y = 9
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\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
There is a walking trail at the park. Four laps around the trail is a distance of 1 mile. How many laps does it take to walk 3/4
ira [324]

Pretty Sure it is 3 laps. because if it is 4 laps = 1 mile. then 1/4 = 1 lap 2/4= 2 laps 3/4 = 3 laps and then 4/4 = 4 laps = 1 mile.


Hope this helps :)

 

4 0
3 years ago
Read 2 more answers
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den301095 [7]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
I don't understand how to do it can someone help me please!!!​
goblinko [34]

Answer:

813

Step-by-step explanation:

7 0
3 years ago
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