All categories

3 years ago

For each problem, find the missing value using the Pythagorean Theorem

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

Answer:

b = √2

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

a = Leg₁

b = Leg₂

c = Hypotenuse

Step 1: Plug in variables

3² + b² = (√11)²

Step 2: Solve

9 + b² = 11

b² = 2

b = √2

And we have our answer!

You might be interested in

The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Det

tatiyna

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base}
\\\\\\
\cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\
-------------------------------\\\\$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}}
\\\\\\
\left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume}
\implies 
\cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v$

7 0

3 years ago

(x + 6)(x + 2) = 60?

Salsk061 [2.6K]

Answer:

x^3=6

Step-by-step explanation:

x(x+2)+6(x+2)=60

x^2+2x +6x +12=60

5 0

3 years ago

Annabelle’s bicycle has a wheel radius of 13 inches. She places a sticker on the wheel so that its minimum height above the grou

faltersainse [42]

Answer:

The answer is D on edgen

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wid

exis [7]

Answer:

i dont understand

Step-by-step explanation:

oh wait... (0,0) (16,28) (0,33)

6 0

3 years ago

Find a product between 1500 and 1700?

Nady [450]

Product is basically a vocabulary word meaning multiply. 1500 x 1700 gives you a huge number that is 2,550,000.

6 0

3 years ago