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Veseljchak [2.6K]
3 years ago
8

A wire is attached to a 425-foot tower that is perpendicular to the ground. The wire makes an angle of 26.5o to the ground. what

is the length of the wire in feet
Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer

952.49feet

Step-by-step explanation:

This set up will be a right angled triangle

Height = opposite side = 425foot

Length of wire = hypotenuse= x

Angle of elevation= 26.5°

Using the SOH identity

Sin 26.5 = opp/hyp

Sin26.5 = 425/x

x = 425/sin26.5

x =425/0.4462

x = 952.49feet

Hence the length of the wire is 952.49feet

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Andre45 [30]

Answer:

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Step-by-step explanation:

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4 0
4 years ago
Read 2 more answers
Which of the following is not an integer?
In-s [12.5K]

Answer:

-\frac{54}{7}

Step-by-step explanation:

The first number is \sqrt{\frac{64}{4} }

We simplify to get:\sqrt{\frac{64}{4} }=\sqrt{16}=4

The second number is -\frac{54}{7}.

This number can be rewritten as 7 \frac{5}{7}=7.714285714287

This is not an integer

The third number is (\frac{-25}{5})^2

We simplify to get: (\frac{-25}{5})^2=(-5)^2=25

This is also an integer.

The correct answer is -\frac{54}{7}.

5 0
4 years ago
What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?
zhenek [66]

First we have to find the slope of the givent line and for that we use rise / run method .

The points are (-4,4),(4,-2)

Here rise is

-2-4 =-6

And run is

4-(-4)=8

So slope is

= \frac{-6}{8} = \frac{-3}{4}

And the slopes of perpendicular lines are negative reciprocal of each other .

Therefore the slope of the required perpendicular line is

-(- \frac{4}{3}) = \frac{4}{3}

Now we use slope intercept form, and put x intercept , that is (6,0) and the slope that is 4/3 ,

y=mx+b
\\
0 = \frac{4}{3}*6 +b
\\
0=8+b
\\
b =-8

Therefore required equation is

y= \frac{4}{3}x -8

Correct option is the third option .

6 0
3 years ago
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The two polygons are similar. Find the measure of angle U.<br> 120°<br><br> 185°
mash [69]
It’s 80 for sure Ik this one
7 0
3 years ago
Phil weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many
serg [7]

Answer:

5 months

Step-by-step explanation:

I'm assuming there was a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight

We can use LCM for this

So lets make a list for both of them

Phil:120, 130, 140, 150, 160, 170, 180, 190, 200

Bill: 150, 154, 158, 162, 166, 170, 174

As you can see here, after 5 months, they will have the same weight.

We can check our work to.

lets do 120+(10*5)=170

and 150+(4*5)=170

I hope this makes sense

4 0
3 years ago
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