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exis [7]
2 years ago
5

Find the dimension of the cube volume = 64

Mathematics
1 answer:
olganol [36]2 years ago
6 0
S
A
=
96
sq in.
Explanation:
V
=
s
3

64
=
s
3

find the cubic root of each side
3
√
64
=
s

4
=
s

so the side of the cube is 4 cu in.
The surface area of a cube is

S
A
=
n
A

where
S
A
is surface area,
n
is the number of faces, and
A
is the area of one face.
Te area of one face (
A
) is
s
2

so
A
=
16

n
=
6
S
A
=
6
⋅
16
=
96
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15 points. Please answer as soon as possible.
abruzzese [7]

Answer:

A. \frac{(a-b)^{2} +b^{2} }{a^{2}}

Step-by-step explanation:

So to get the area of a square, we need to find the length of one side.  

We know the length of the larger square is a, so the area of the larger cube is a^{2}

We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner.  The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.

We can plug it into pythagoreans theorem to get

(a-b)^{2} +b^{2} = C^{2} (C represents the length of one side of the smaller square, and the hypotenuse of the triangle)

C = \sqrt{ (a-b)^{2} +b^{2}}

The area of the smaller triangle is C squared to the area of the smaller triangle is

(a-b)^{2} +b^{2}

To get the ratio of the smaller square in comparison to the larger square we divide the area of the smaller square by the area of the larger square.

So the ratio should be

\frac{(a-b)^{2} +b^{2} }{a^{2}}

8 0
3 years ago
Identify the center and radius of the circle (x+4)^2+(y-2)^2=16
fgiga [73]

Answer: center is (-4,2) radius is 4

Step-by-step explanation:

Equation of circle

is (X-A)^2+(X-B)^2=r^2

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The radius Of The circle is r

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7 0
3 years ago
HELP PLEASEE 12 points !!
olga55 [171]

Answer:

Negative since the line is coming like this \

It gets to be negavite will if it was like this/ it could have been positive

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Answer:

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1 year ago
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Tresset [83]
This question boils down to this:
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The key to this question is the properties of squares.
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Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)

This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!

In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
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