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Dmitrij [34]
3 years ago
13

Can you double a square with a straightedge and a compass?

Mathematics
1 answer:
sergejj [24]3 years ago
8 0
I'd say yes.  If you use the diagonal as a reference.  Take the square and set your compass to the width of the diameter of the square.  Now put it on the page and mark a point.  Put the point of the compass on that mark and make another mark.  Now you can connect the two marks with the straight edge and you have a line that, if you made a square with sides that long, it'd have 2x the area of the first one.  That's because the diagonal is the square root of 2 larger than one side.  Square the square root of 2 and you've got 2.  You lust need to make a perpendicular line to the first one to get the box going.
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For each logarithmic equation, write an equivalent equation in exponential form
Montano1993 [528]

Answer:

  • loga b = c             ⇔   a^c = b

<u>Apply the property above:</u>

  • 1.  ln 618 = p   ⇔ e^p = 618
  • 2. ln q = 2       ⇔ e^2 = q
  • 3. ln 100 = t     ⇔  e^t = 100
  • 4. ln (e^3) = 3  ⇔  e^3 = e^3
8 0
2 years ago
Solve the following equation for L<br> P=2L+2W
Maslowich
P=2L+2W
P-2W=2L
P/2-W=L
L=P/2-W
3 0
3 years ago
What is the exact value of cotangent (StartFraction 3 pi Over 4 EndFraction)? –1 Negative StartRoot 2 EndRoot 1 StartRoot 2 EndR
timurjin [86]
1 negative startroot 2 end root 1 start root 2 end root
6 0
2 years ago
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d-6
kari74 [83]

Answer: -209

Step-by-step explanation:

Formula for arithmetic progression

= a + (n - 1)d

Since a10 = 1 and d = -6

a10 = a + 9d

a + 9(-6) = 1

a - 54 = 1

a = 1 + 54

a = 55

Therefore, 45th term = a + (n - 1)d

= a + (45 - 1)d

= a + 44d

= 55 + 44(-6)

= 55 - 264

= -209

4 0
3 years ago
The set of all numbers less than or equal to -8 or greater than or equal to 2.
tatiyna

The set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

<h3>The set of numbers</h3>

From the question, we are to write the set of numbers l<u>ess than or equal</u> to -8 or<u> greater than or equal</u> to 2

Let x represent the set of the numbers

If a number is less than or equal to -8

Then,

-8 is greater than or equal to the number

That is,

-8 ≥ x

If a number is greater than or equal to 2

Then,

x ≥ 2

Thus, the set of all the numbers is

-8 ≥ x ≥ 2

Hence, the set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

Learn more on Set of numbers here: brainly.com/question/18667553

#SPJ1

7 0
2 years ago
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