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3 years ago

Which polygon will tessellate the plane?

Mathematics

1 answer:

Sedaia [141]3 years ago

6 0

Answer:

Equilateral triangles, squares and regular hexagons are the only regular polygons that will tessellate. Therefore, there are only three regular tessellations.

Step-by-step explanation:

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How do you find the common ratio of -3, -18, -108, -648

Olegator [25]

The common ratio is 8

example:

-3 x 8 = -18
-18 x 8= -108
so on so on

6 0

3 years ago

Mary has 18 marbles. If Tim has 5 times as many marbles as Mary, which number sentence shows how many marbles Tim has?

mariarad [96]

Answer:

Step-by-step explanation:

18 x 5 = 90

3 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP OFFERING 10 POINTS

klio [65]

Just did one just like it

688.32 = x + .043 x + .0325 x = 1.0755 x

x = 688.32/1.0755 = $640.00

Answer: $640.00

Check: 640(1+.043+.0325)= 688.32 good

6 0

3 years ago

A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

Susan made the following 3-dimensional figure from a net. What 2-dimensional shapes are used to make the faces of the figure?

konstantin123 [22]

Answer:

Step-by-step explanation:

I don't know if there was a picture, but d will made a triangular prism. All are possible but they will look more like a dome.

5 0

3 years ago