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3 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form. *

Mathematics

1 answer:

lora16 [44]3 years ago

8 0

That's the isosceles right triangle, one of the two cliche triangles students are expected to learn. The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.

So v= 3√2 (the two legs are equal) and hypotenuse u = √2 × v = 6.

Answer: C

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3 years ago

Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.

jenyasd209 [6]

<h3><u>Given Numbers:-</u></h3>

23, 33 ,33 ,27 ,25 ,68 ,27 ,44 ,72

average of this set of numbers

<h3><u>Solution</u>:-</h3>

$\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}$

$\longrightarrow$ Here, no of observation are 9

Now,

$\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered}$

$\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered}$

$\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered}$

$\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered}$

$\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}$

$\longrightarrow$ The Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

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