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Murljashka [212]
2 years ago
13

A diagonal of a cube measures StartRoot 294 EndRoot cm. The diagonal of a face measures 14 cm. What is the length of an edge of

the cube? Round to the nearest tenth of a centimeter.
Mathematics
1 answer:
hram777 [196]2 years ago
5 0

The side of the edge of the cube is 9. 9cm

<h3>How to determine the length</h3>

Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm

To find the edge of the face, we know that the face of the cube is a square

Formula for diagonal of a square = \sqrt{2a}

Where is the side of the square

We then have,

\sqrt{2a}  = 14

Make 'a' the subject

a = \frac{14}{\sqrt{2} }

Simplify the surd

a = \frac{14}{\sqrt{2} } × \frac{14}{\sqrt{2} }

a = \frac{14\sqrt{2} }{2}

a = 7\sqrt{2}

a = 9. 9cm

Therefore, the side of the edge of the cube is 9. 9cm

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

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Solve<br>7w - 5 &lt; 1 - 3w<br>can someone help me ?​
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Answer:

w < 0.6

Step-by-step explanation:

In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.

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Para darle respuesta a la pregunta podemos seguir el siguiente procedimiento:

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y = m×x + b         donde m es la pendiente y b el intercepto con el eje y

y entonces tenemos:

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Procediendo de forma similar obtendremos la ecuación del eje y

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En este caso, la pendiente no es definida ( tang 90° ) y b es de nuevo el punto b ( 0 ; 0).

A partir de  que todos y cada uno de los puntos sobre el eje y son  de valor 0 para x, concluímos que  ecuación del eje y es

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