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3 years ago

Help plz What different and similar between Rectangle and square

1 answer:

6 0

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

Definition of Square and Rectangle
Square: A square is a closed two-dimensional plane figure with four sides. All the four sides of the square are of equal measure. Also, the four interior angles of a quadrilateral are of 9o degrees. In other words, a square is considered as a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered as an equiangular quadrilateral.

Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other. It means that the opposite faces of the rectangle are of equal measure. A rectangle has four angles, each measuring about 90 degrees. As like square, a rectangle is also called an equiangular quadrilateral.

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Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?

spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

$\frac{d}{dx}\cdot f(x)$

Now the sum of the 2 functions is shown below

$y=f(x)+g(x)$

Diffrentiating both sides with respect to 'x' we get

$\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\$

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

$\frac{dy}{dx}$

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

$h=f(x)\cdot g(x)$

Diffrentiating both sides with respect to 'x' we get

$h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)$

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0

3 years ago

A consumer report counted 72 low-quality, 112 medium-quality, and 711 high-quality computers based on a random sample. The repor

blsea [12.9K]

Answer:

high quality = 711/895

medium quality = 112/895

low quality = 72/895

Step-by-step explanation:

72 + 112 + 711 = 895

high quality = 711/895

medium quality = 112/895

low quality = 72/895

8 0

3 years ago

A 4-pack of frappuccino’s costs $10.88 how much does each individual can cost

Aleks04 [339]

Answer:

$ 2.72

Step-by-step explanation:

divide 10.88 by 4

7 0

4 years ago

Orchestra seats for a Symphony per-

slamgirl [31]

Answer:

The Answer is that Orchestra seats were $15 and Balcony seats were $9.

Step-by-step explanation:

400(x+6) + 250x = 8250

400x + 2400 + 250x = 8250

650x + 2400 = 8250

650x = 5850

x = 9

Proof:

400(15) + 250(9) = 8250

6000 + 2250 = $8,250

7 0

3 years ago

When solving negative one over five -1/5 (x − 25) = 7, what is the correct sequence of operations

aleksandr82 [10.1K]

The solution would be like this for this specific problem:

$\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) \cdot \left( {x - 25} \right) = 7 \cdot
\left( { - 5} \right)$

$\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) = 1$

The correct sequence of operations when solving negative one over five (x − 25) = 7 would be multiply each side by −5, and adding 25 to each side.

5 0

3 years ago