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3 years ago

What is the area of this tile?

Mathematics

2 answers:

zzz [600]3 years ago

5 0

12 in. ²

a = bh

a = 2 x 6

a = 12 in. ²

tankabanditka [31]3 years ago

5 0

Answer:

12 in. ^2

Step-by-step explanation:

The area of a rectangle can be found by using the formula legnth x width.

Here the legnth is 2 in. and the width is 6 in.

6 x 2 = 12

Whenever you find the area, unit of measurement is ^2, thus resulting in the answer 12 in. ^2

I hope this helps!

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What is m2? What is m<1?

yuradex [85]

Answer:

∠ 2 = 75° , ∠ 1 = 105°

Step-by-step explanation:

∠ 2 and 75° are alternate angles and are congruent , then

∠ 2 = 75°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

∠ 1 + ∠ 2 = 180°

∠ 1 + 75° = 180° ( subtract 75° from both sides )

∠ 1 = 105°

3 0

2 years ago

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the bin is constructed from 48 square feet of sheet metal, so:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, the dimensions of the largest volume of such a bin is:

Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

8 0

3 years ago

Hurry and answer please

arlik [135]

It's c (48)

because if you divide all of them its 3

5 0

2 years ago

How many sunsets of at least one element does a set of six elements have

Lesechka [4]

Answer:

Step-by-step explanation:

Given:

a set of six elements

The solution would be like this for this specific problem:

number of subsets of n elements = 2^n

(2^6) - 1

= 64 – 1

= 63

7 0

3 years ago

10. The perimeter of a parallelogram is 72 meters. The width of the

nalin [4]

Answer:

Length is 20 meters and Width is 16 meters

Step-by-step explanation:

A parallelogram is a 4-sided figure with 2 pair of parallel sides.

The perimeter is the sum of all 4 sides of the parallelogram.

Let the length of parallelogram be x and width be y.

The perimeter is 72, thus we can write:

x + x + y + y = 72

2x + 2y = 72

Also, width is 4 less than length, thus we can write:

y = x - 4

Now, we replace the 1st equation with the 2nd equation and solve for x first. Shown below:

2x + 2y = 72

2x + 2(x - 4) = 72

2x + 2x - 8 = 72

4x = 72 + 8

4x = 80

x = 80/4 = 20

And now y:

y = x - 4

y = 20 - 4

y = 16

Thus, the Length is 20 meters and Width is 16 meters

4 0

3 years ago