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3 years ago

Every _____ tessellates decagon, octagon, pentagon, triangle

Mathematics

2 answers:

Nookie1986 [14]3 years ago

7 0

Well.. I know the definition of tessellates can help us figure out the answer..

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

I know we can do this with triangles.

My guess would be triangles.

Good Luck! <3

dexar [7]3 years ago

7 0

Answer:

Every triangle tessellates.

Step-by-step explanation:

There are only three regular polygons that tessellate - equilateral triangles, squares and regular hexagons. Tessellation is an arrangement of closely fitted polygons without overlapping.

Only equilateral triangles tessellate out of the given options. For a tessellation to be possible, the interior angle of the polygon must divide 360 degrees evenly.

The internal angle of equilateral triangle is 60 degrees and it completely divides 360 degrees.

$\frac{360}{60}=6$

So, triangles is the answer.

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The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3. Triangle A B C is shown. Side A B has a le

Aliun [14]

Answer:

Angle C > Angle A > Angle B

Step-by-step explanation:

In Δ ABC, the sides AB = 4p - 1, BC = 3p and CA = p + 4, where p ≥ 3.

Assume, p = 3, then AB = 11 units, BC = 9 units and CA = 7 units.

We know, the angle of a triangle is larger for the larger length of the opposite side.

So, Angle C > Angle A > Angle B

Therefore, option c is correct. (Answer)

8 0

3 years ago

Read 2 more answers

If log10 y = 2. what does y equal?

lys-0071 [83]

Answer:

$log_{10} (100) = 2$

Step-by-step explanation:

Here, the given expression is:

$log_{10} (y) = 2$

Now, by logarithm rules, we know

if $log_{b}(x) = z$

, then x = $b^{z}$

Comparing here, b = 10 and z = 2

⇒ y = $10^{2} = 100$

or, $log_{10} (100) = 2$

6 0

3 years ago

A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

lyudmila [28]

Answer:

16ft by 16ft by 8ft.

Step-by-step explanation:

Let the total surface area of the rectangular tank be S = 2LW+2LH+2WH where;

L is the length of the box

W is the width of the box

H is the height of the box.

Since the box is openend at the top, S = lw + 2lh+ 2wh

If the base is a square base then, l = w

S = l(l) + 2wh+2wh

S = l²+4wh ............... 1

If volume = lwh

lwh = 2028 ft³

wh = 2048/l ................ 2

Substitute equation 2 into 1;

S = l²+4(2048/l)

S = l²+8192/l

dS/dl = 2l - 8192/l²

If dS/dl = 0 (since we are looking for dimensions of the tank with minimum weight.)

2l - 8192/l² = 0

2l = 8192/l²

2l³ = 8192

l³ = 8192/2

l³ = 4096

l =∛4096

l = 16 ft

Since the length is equal to the width, hence the width = 16ft (square based tank)

Given the volume V = lwh = 2048

lwh = 2048

16*16*h = 2048

256h = 2048

divide both sides by 256

256h/256 = 2048/256

h = 8ft

Hence, the dimensions of the tank with minimum weight is 16ft by 16ft by 8ft.

4 0

3 years ago

PLZZZ ANSWERR 20 points Select correct answer

UNO [17]

It’s 10 points not 20
Explanation

4 0

3 years ago

Read 2 more answers

7/10 divide by 5/9 in simplest form

Eddi Din [679]

You can use keep it change it flip it and do:

7/10•9/5=63/50= 1 3/50
7•9=63
10•5=50

Hope this helped

7 0

3 years ago