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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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Math question down below
kramer
X + 4/5 = 11
x = 11 - 4/5
x = 55/5 - 4/5
x = 51/5 or 10 1/5

or u can do it this way..
x + 4/5 = 11.....multiply everything by common denominator of 5
5x + 4 = 55
5x = 55 - 4
5x = 51
x = 51/5 or 10 1/5
7 0
3 years ago
John Simone is buying a used car for a total cost of $11,805.00. He’s making a down payment of $1,500.00 and borrowing the remai
balu736 [363]

Answer:

Step-by-step explanation:

Given that John Simone is purchasing a used car for 11805 dollars.

Down payment = 1500

Net loan amount = 11805-1500 = 10305

Equal monthly instalments he paid = 343 dollars

Tenure =3 years

For 3 years rate of interest should be 12.2%

Then only we get for 3 years for the loan emi as 343

4 0
3 years ago
Use properties find the sum or product of 93+(68+7)
pochemuha
The answer would be 168 :)

5 0
3 years ago
Read 2 more answers
La empresa los manzanas exporta manzanas o varios paises del mundo, el lunes tiene que trasladar 300 cajones. Puede contratar ca
Mariulka [41]

Answer:

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

Step-by-step explanation:

<u>Dada la siguiente información:</u>

<u></u>

Cantidad de cajones= 300

Opción A:

Camiones con capacidad para 50 cajones que cobran 150 por viaje.

Cantidad de camiones= 300/50= 6

Opción B:

Camiones con capacidad de 60 cajones por 180 por viaje.

Cantidad de camiones= 300/60= 5

<u>Debemos calcular el costo total de cada opción y elegir la de menor costo.</u>

Costo total A= 150*6= $900

Costo total B=180*5= $900

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

5 0
2 years ago
The Sears Tower in Chicago is 1450 feet high. A model of the tower is 48 inches tall. What is the ratio of the
Leni [432]

Answer: choice a.

Step-by-step explanation:

1 feet = 12 inches.

Sears tower = 1450 * 12 = 17400 inches.

Now,

48 : 17400

= 2 : 725

5 0
3 years ago
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