All categories

3 years ago

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.

You might be interested in

Which of the following is parallel to the line =6x + 1

andrey2020 [161]

Try this option:
common equation for line is y=kx+b, where k=tgα, b-number.
Rule: if y||y₁, then k=k₁.
It means that according to given conditions y₁=k₁x+b₁ ⇒ y₁=6x+b₁.

answer: y₁=6x+b₁

3 0

3 years ago

Christian has a collection of 18 shark teeth. What type of ratio is 6 tiger

soldier1979 [14.2K]

Answer:

Part-To-Whole

Step-by-step explanation:

Part--> 6:18 <--- Whole.

4 0

3 years ago

Read 2 more answers

A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.

Zina [86]

Answer: $4r + 5(20-r) \le 92$

=======================================

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

$4r + 5(20-r) \le 92$

--------------------

Extra info:

If you want to solve for r, then

$4r + 5(20-r) \le 92$

$4r + 5(20)+5(-r) \le 92$ distribute

$4r + 100 - 5r \le 92$

$100 - r \le 92$

$100-r+r \le 92+r$ add r to both sides

$100 \le 92+r$

$100-92 \le 92+r-92$ subtract 92 from both sides

$8 \le r$

$r \ge 8$

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

8 0

3 years ago

Correct notation? im lost someone help?

joja [24]

The correct notation for the $\sqrt{-100} -84$ is -84+10i.

Answer: Option B.

<u>Step-by-step explanation:</u>

A square root is the inverse function of exponential function.

Square root of positive numbers either result natural numbers or rational numbers.

But the square root of negative number is not possible. So that an imaginary number system was founded to represent the square root of negative number.

It is represented with i with the result of the solution of the square root.

Here the given problem is $\sqrt{-100} -84$ ,

-84 will remain the same and let us convert $\sqrt{-100}$ .