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exis [7]
3 years ago
5

Find the dimension of the cube volume = 64

Mathematics
1 answer:
olganol [36]3 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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She earned $13 per hour for gardening and $10 an hour for office work.
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In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in
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Answer: year 2194



Explanation:



1) Model the jump of the women:


i) initial jump = 70.0 in


ii) increase rate = 0.48% per year


iii) equation: h = 70.0(1 +0.0048)ⁿ


2) Model the jump of the men:


i) initial jump 86.5 inches.


ii) increase rate, 0.4%.


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i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ


ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ


ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0


iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0


iv) n log (1.0048 / 1.0040) = log ( 86.5/70)


v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266


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Answer:

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Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

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Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

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z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

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x = 42 - y

x = 42 - 18

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∴ x = 24, y = 18 and z = 22

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