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n200080 [17]
2 years ago
6

The line segments of a cube include edges, the diagonals of the faces, and the diagonals through the interior of the cube. Which

is the longest? Which is the shortest? Explain.
Mathematics
2 answers:
Ksenya-84 [330]2 years ago
0 0

They diagonal through the interior of the cube is the longest. The hypotenuse is the longest side of a right triangle. The diagonal of the cube is the hypotenuse of a right angle with legs that are diagonal of a face and an edge. The edges are the shortest. They are legs of a right triangle with the diagonal of a face as the hypotenuse.


nata0808 [166]2 years ago
0 0

Answer:

The diagonal through the interior of the cube is the longest. The hypotenuse is the longest side of a right triangle. The diagonal of the cube is the hypotenuse of a right triangle with legs that are the diagonal of a face and an edge. The edges are the shortest. They are legs of a right triangle with the diagonal of a face as the hypotenuse.

Step-by-step explanation:its the sample response

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How many squares would have to be shaded to that 1/6 of the shape is shaded
Luba_88 [7]

Answer:

3 squares

Step-by-step explanation:

Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

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2 years ago
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2 years ago
What is the general form of the equation of a circle with center at (a, b) and radius of length m?
pochemuha
The equation of a circle with center (h,k) and radius r is
(x-h)^2+(y-k)^2=r^2

convert it to that form by comleting the square for the x and y terms
or, we can just expand what we know

expand (x-a)^2+(y-b)^2=m^2 and make it equal to 0
so expanding we get
x^2-2ax+a^2+y^2-2by+b^2=m^2
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x^2-2ax+a^2+y^2-2by+b^2-m^2=0
arranging in decreasing power order with m² at the end
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8 0
2 years ago
What is square root of 80 in simplified radical form?
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6 0
1 year ago
2y+4=5x-4=<br><br> Help please
IgorLugansk [536]

Answer:

x = 2 and y = 1.

Step-by-step explanation:

If in the given quadrilateral all angles ∠A, ∠B, ∠C, ∠D are 90°and opposite sides are equal, then this property of a quadrilateral concludes that the given quadrilateral is a rectangle.

5x - 4 = 2y + 4

5x - 2y = 4+4 =8--------(1)

and 5y + 1 = 3x

3x - 5y = 1--------(2)

We multiply equation 1 by 3 and equation 2 by 5

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15x - 25y = 5------(4)

Now we subtract equation 4 from 3

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15x -6y -15x + 25y =19

19y = 19

y = 1

By putting y = 1 in equation 1.

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5x = 10

x = 2

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2 years ago
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