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lana66690 [7]
2 years ago
7

To form 3 adjacent squares (as in the figure), 10 toothpicks are required. How many toothpicks are required to form 100 adjacent

squares? ...?
Mathematics
1 answer:
Sonja [21]2 years ago
7 0
<span>Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 301 for n = 100.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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a line passes through the points (–6, 4) and (–2, 2). which is the equation of the line? y = -1/2x + 1, y = 1/2x + 7,y = –2x – 8
viva [34]

Answer:

-1/2x+1 is the equation.

Step-by-step explanation:

4 0
3 years ago
Write an equation of the line passing through the point (3, -1) and parallel to the line y=2/3x - 5. Show work
alex41 [277]

Answer:

The answer is: y = 2/3x - 3

Step-by-step explanation:

Given point: (3, -1)

Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.

Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:

y - y1 = m(x - x1)

y - (-1) = 2/3(x - 3)

y + 1 = 2/3x - 6/3

y + 1 = 2/3x - 2

y = 2/3x - 3

Proof:

f(3) = 2/3(3) - 3

= 6/3 - 3

= 2 - 3

= -1, giving the point (3, -1)

Hope this helps! Have an Awesome Day!!  :-)

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Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 3/2 inches. If he completely fills
Alinara [238K]

Answer:

10 ring boxes

Step-by-step explanation:

First, we need to calculate the total surface area of each cube ring boxes

The surface area of each square boxes = 6L²

Given that L =1.5inches

Total surface area = 6(1.5)²

Total surface area = 6(2.25)

Total surface area = 13.5in²

<em>Since the question is incomplete. Let us assume the total surface area of the shipping box is 135in²</em>

<em></em>

Number of ring boxes he can ship = 135/13.5

Number of ring boxes he can ship = 10

Hence the number of ring boxes he can ship is 10 ring boxes

<em />

<u><em>NB: The total surface area of the shipping box was assumed</em></u>

<u><em></em></u>

6 0
3 years ago
What is the distance between...
katen-ka-za [31]
The distance between -4/12 and 9 is
-369/2

Step 1 :

41
Simplify ——
2
Equation at the end of step 1 :

41
((((0 - ——) • a) • n) • d) • 9
2
Step 2 :

Final result :

-369and
———————
2
6 0
3 years ago
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