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kotegsom [21]
2 years ago
15

a flagpole casts a shadow 160 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long.

What is the height, in feet, of the flagpole?
Mathematics
2 answers:
noname [10]2 years ago
8 0
The answer is 40.

cross multiply
Veronika [31]2 years ago
3 0

Answer:

The flagpole is 40 feet tall.

Step-by-step explanation:

So, we are looking for the height of the flagpole. Let <em>h</em> represent this height.

Boy - 5 feet in height and casts a 20-foot shadow

Flag pole - <em>h</em> feet in height and casts a 160-foot shadow

The relationship looks something like this:

5 : 20 :: h : 160

or

\frac{5}{20} =\frac{h}{160}

Now, we can cross multiply to find h!

20h=800\\h=40

So, the flagpole is 40 feet tall

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>Have a nice day, fam. Spread The Love!</em>

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lina2011 [118]

Answer:

5/14

Step-by-step explanation:

5 + 9 = 14- so our denominator is 14

Theres 5 milk chocolates, so the probability is 5/14

I hope this helped, please mark Brainliest, thank you !!

4 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
vampirchik [111]

Answer:

26 degrees

Step-by-step explanation:

90-64=26

Hope this helps!

6 0
3 years ago
Find an equation of the tangent line to the curve at the given point. y = x + tan(x) at (pi, pi)
S_A_V [24]
<span>Differentiating :

y' = 1 + sec^2(x),
</span><span>
cosπ=−1</span><span>

plug in pi = -1 ,for x:

1 + sec^2(pi) = 1 +  (-1)^2 
                      = 2</span>
8 0
3 years ago
Which of the following is the MOST accurate definition of standard deviation
zzz [600]

The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4

<h3>Definition of standard deviation</h3>

Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.

It is calculated as the square root of the given variance.

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6 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20-%2030%20%3D%202%28x%20-%2097%29" id="TexFormula1" title=" - 30 = 2(x - 97)" alt=" - 30 = 2
Korolek [52]
Hey there! 

In order to find out the answer to this question, we can distribute 

-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197

Flip your problem around! 

2x - 194 = -30

Add by 194 on each of your sides 

Like:  2x - 194 + 194 \\ \\ \\ -30 + 194

Cancel out: -194 + 194  because they would give you the outcome of 0

Keep: -30 + 194 [/tex] because that'll give you: [tex]164

Your problem becomes: 2x = 164

Now, we have to divide by 2 on each of the sides

Like: \frac{2x}{2}  =  \frac{164}{2}

Cancel: \frac{2x}{2} because it will give you a outcome of 1

Keep: \frac{164}{2} because this will give you your answer

Answer: x = 82

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
7 0
3 years ago
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