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avanturin [10]
2 years ago
6

Diagonal of a square is 4 root 2. Find the length of a side of a square

Mathematics
1 answer:
rosijanka [135]2 years ago
4 0

Check the picture below.

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}

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A pigeon can fly 84 kilometers per hour. how long does the pigeon take to fly 7 kilometers?
Leviafan [203]
84 kilometers ... 1 hour
7 kilometers ... x hours = ?

If you would like to know how long does the pigeon take to fly 7 kilometers, you can calculate this using the following steps:

84 * x = 1 * 7
84 * x = 7      /84
x = 7/84
x = 1/12 hour

Result: A pigeon can fly 7 kilometers in 1/12 hour.
6 0
3 years ago
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Lena [83]

Answer:

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Step-by-step explanation:

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3 years ago
What is the solution to the equation -3d/a^2-2d-8 + 3/d-4 = -2/ d+2
Alex73 [517]

Answer:

d=1

Step-by-step explanation:

\frac{-3d}{d^2-2d-8} +\frac{3}{d-4} =\frac{-2}{d+2}

Lets factor the denominator d^2 -2d-8

d^2 - 2d - 8 = (d-4)(d+2)

\frac{-3d}{(d-4)(d+2)} +\frac{3}{d-4} =\frac{-2}{d+2}

Now make the denominators same

LCD: (d-4)(d+2)

\frac{-3d}{(d-4)(d+2)} +\frac{3(d+2)}{(d-4)(d+2)} =\frac{-2(d-4)}{(d+2)(d-4)}

Denominators are same on both sides

So equate the numerators

-3d +3(d+2) = -2(d-4)

-3d +3d +6 = -2d +8

6 = -2d + 8

subtract 8 on both sides

-2 = -2d

So d=1




3 0
2 years ago
Read 2 more answers
If f(x)=3x+5 and q(x)=0, show that f(x)+q(x)=f(x).
alex41 [277]

Step-by-step explanation:

  • f(x)=3x+5
  • q(x)=0

f(x)+q(x)

➜3x+5+0

➜3x+5

➜f(x)

<h3>Hence proved</h3>
8 0
3 years ago
F(x) = 4x-5; f(-2)<br> please help
Firdavs [7]

Answer:

f(x)=-13

Step-by-step explanation:

Substitute x with -2

4 times -2 is -8

-8-5 is -13

Thus f(x)=-13

Hope this helps!

5 0
3 years ago
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