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Paul [167]
3 years ago
12

An equilateral triangle has an altitude length of 33 feet. Determine the length of a side of the triangle.

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0
The side of this triangle is about 23.3345237792
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T is the midpoint of SU. Find ST, TU and SU. <br><br><br> 10x-14 5x+16<br><br>S———T———U
jeka94

since T is the midpoint of SU, then ST = TU.

\bf \stackrel{10x-14}{\boxed{S}\rule[0.35em]{10em}{0.25pt}} T\stackrel{5x+16}{\rule[0.35em]{10em}{0.25pt}\boxed{U}} \\\\\\ \stackrel{ST}{10x-14}=\stackrel{TU}{5x+16}\implies 5x-14=16\implies 5x=30\implies x=\cfrac{30}{5}\implies x=6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ST}{10(6)-14\implies 46}~\hfill \stackrel{TU}{TU=ST=46}~\hfill \stackrel{SU}{ST+TU=92}

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3 years ago
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Ilia_Sergeevich [38]

Answer:

$12.64

Step-by-step explanation:

4 0
3 years ago
Assume the equation has a solution for z.<br> -cz+ 6z = tz + 83<br>z=?​
solong [7]

Answer:

z = 83 / (- c + 6 - t)

Step-by-step explanation:

Given:

-cz+ 6z = tz + 83

z=?​

-cz+ 6z = tz + 83

Collect like terms

-cz+ 6z - tz = 83

Factorize

z(- c + 6 - t) = 83

Divide both sides by (- c + 6 - t)

z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)

z = 83 / (- c + 6 - t)

5 0
3 years ago
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alexandr402 [8]

Answer:

D. 40

Step-by-step explanation:

Interquartile range is the difference between the upper quartile value (Q3) and the lower quartile value (Q1).

In a box plot, Q1 is located at the beginning of the edge of the rectangular box from our left, while the Q3 is located at the end of the edge of the rectangular box to our right.

Interquartile range for City A = 70 - 40 = 30

Interquartile range for City B = 80 - 40

Therefore, city B has greater variability. The interquartile range is 40.

7 0
3 years ago
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