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

1 answer:

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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55.5% repeating as a decimal

liberstina [14]

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

5 0

3 years ago

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212.35 into a fraction

Alla [95]

Answer: 212 7/20

Step-by-step explanation: We know that 212 is the whole number. So we need to convert .35 into a fraction in simplest form. Any decimal that has a hundredths place will be divided by 100 to get the fraction. In this case that fraction would be 35/100. And to convert that into simplest form, you need to find the least (or lowest) common denominator which is 5. Then you divide the numerator and denominator by 5 and get 7/20, so your answer is 212 7/20

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3 years ago

Part A: What is the measure of angle x? Show your work. (5 points)

stepan [7]

Answer:

angle x=40

Step-by-step explanation:

Angle CD on the bottom is a 180 angle. If you subtract it by 110 it's 70. The two bottom angles are equal so it also equals 70, add them and you get 140. Subtract 180 by 140 and it means x=40!

6 0

3 years ago

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Which conic's equation has 2 squares with the same signs and different leading coefficients?

Romashka [77]

We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.

We will see that it is the equation of the ellipse.

Now let's see why that is the correct answer.

The general conic equation is of the form:

$A*(x - a)^2 + B*(x - b)^2 = R^2$