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Vladimir [108]
4 years ago
7

I will give 100 points to the first answer that is correct

Mathematics
2 answers:
matrenka [14]4 years ago
8 0

Answer: D) 32

Each side of the cube is 8 units, so the perimeter of one side is 4*8 = 32.

Nimfa-mama [501]4 years ago
7 0

Answer:

D) 32

Step-by-step explanation:

The volume of a cube is:

v=s³

512=s³

Take the cube root of both sides

s=8

To find the perimeter of a square,

p=4s

p=4(8)

p=32

So, D is your answer! Hope this helped!

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Rewrite the following using the GCF and the distributive property<br> :32 + 54
oksian1 [2.3K]

Answer:

GCF: 2

Step-by-step explanation:

GCF: 2

(2*16) + (2*27)

3 0
3 years ago
Drag the numbers to the boxes to order them from least to greatest value.
attashe74 [19]
Hello!

First you have to convert them all into numbers

2 = 2
47/14 = 3.35
sqrt of 5 = 2.23
0.9 = 0.9
0 = 0

Now you list them from least to greatest

The answer is 0, 0.9, 2,  \sqrt{5} ,  \frac{47}{14}

Hope this helps!
3 0
4 years ago
What are the roots of the quadratic equation x2+2x=-5
stiks02 [169]

Answer:

x = -1 +/-2i

Step-by-step explanation:

Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.

x² + 2x + 5 = 0

Use the quadratic formula by substituting a= 1, b = 2 and c = 5.

x = \frac{-2 +/- \sqrt{(-2)^2 - 4(1)(5)} }{2(1)} = \frac{-2 +/-\sqrt{4 -20 } }{2} = \frac{-2 +/-\sqrt{-16 } }{2} = \frac{-2 +/-4i }{2} = -1 +/-2i

5 0
4 years ago
Verify the identity
Igoryamba

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

8 0
3 years ago
A function of the form f(x) = ab is modified so that the b value remains the same but the a value is increased by 2
pav-90 [236]

Answer:

Step-by-step explanation:

Notice that f(x) = ab would be a constant function, as 'x' does not appear on the right side.  If 'a' were increased by 2, the magnitude of f(x) would be increased by a factor of 2.  The domain of f(x) would not change; the range would be [a·(b+2)) (a single numeric value).

4 0
4 years ago
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