All categories

2 years ago

Drow two different rectilinear shapes each with an area of 6 squares.

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

7 0

Answer:

We can draw a rectangle and a square.

First the square:

The area of a square of sidelength L is:

A = L^2

So if the area of this square must be 6 square units, we get:

6 square units = L^2

L = √(6 square units) = 2.45 units

Now for a rectangle, we know that for a rectangle of length L and width W, the area is:

A = L*W

Now let's give the width a value of 1 unit, then W = 1unit

A = L*1 unit

And we know that the area must be of 6 square units, then:

6 square units = L*1 unit

(6 square units)/(1 unit) = L

(6 units) = L

The drawings (these are not exact ones, i'm doing them with a mouse) of the images can be seen below.

You might be interested in

25 POINTS!!!! PLEASE HELP! What kind of problem is this and how do I solve it? PLEASE HELP ASAP

Elan Coil [88]

Answer:

see explanation

Step-by-step explanation:

To solve the given quadratic equations, equate to zero, factorise and solve

given

x² - 19x + 48 = 0

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 19)

The required factors are - 3 and - 16, hence

(x - 3)(x - 16) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 16 = 0 ⇒ x = 16

----------------------------------------------------------------

given

x² + 21x - 100 = 0

Consider the factors of the constant term (- 100) which sum to give the coefficient of the x- term (+ 21)

The required factors are + 25 and - 4, hence

(x + 25)(x - 4) = 0

x + 25 = 0 ⇒ x = - 25

x - 4 = 0 ⇒ x = 4

4 0

2 years ago

A scientist needs 10mL of a 17% acid solution for an experiment. The lab has available a 20% solution and a 10% solution. How ma

DiKsa [7]

This is hard help get it from google or something

6 0

2 years ago

A father wants to buy a total of five milk drinks for his son and spend $7.95. Eggnog costs $1.55 and a peanut punch costs $1.65

tresset_1 [31]

Answer:

Step-by-step explanation:

$ 1.55 + $1.65 = $3.11

the budget is $7.95

$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2

6 0

2 years ago

How do I differentiate this?

disa [49]

Answer:

$\frac{8}{\left(-x+2\right)^2}$ & $x = 1, x = 3$

Step-by-step explanation:

I'm sure you are familiar with the product rule,

If y = u*v => dy/dx = u * dv/dx + v * dy/dx <----- product rule

In this case:

$u=3x+2,\:v=\left(2-x\right)^{-1},\\=>\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)$

Now remember the sum rule:

$\frac{d}{dx}\left(3x+2\right) = \frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(2\right),\\\frac{d}{dx}\left(3x\right) = 3,\\\frac{d}{dx}\left(2\right) = 0\\\frac{d}{dx}\left(3x+2\right) = 3$

For this second bit we apply the chain rule:

$\frac{d}{dx}\left(\left(2-x\right)^{-1}\right) = -\frac{1}{\left(2-x\right)^2}\frac{d}{dx}\left(2-x\right),\\\frac{d}{dx}\left(2-x\right) = -1,\\\\=> -\frac{1}{\left(2-x\right)^2}\left(-1\right)\\=> \frac{1}{\left(2-x\right)^2}$

If we substitute these values back into the expression... $\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)$

...we get the following:

$3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)$

The rest is just pure simplification:

$3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)\\= \frac{3}{-x+2}+\frac{3x+2}{\left(-x+2\right)^2}\\= \frac{3\left(-x+2\right)}{\left(-x+2\right)^2}+\frac{3x+2}{\left(-x+2\right)^2}\\\\= \frac{3\left(-x+2\right)+3x+2}{\left(-x+2\right)^2}\\\\= \frac{8}{\left(-x+2\right)^2}$

Now let's equate this to equal 8 for the second bit and solve for x:

$\frac{8}{\left(-x+2\right)^2}=8,\\\frac{8}{\left(-x+2\right)^2}\left(-x+2\right)^2=8\left(-x+2\right)^2,\\8=8\left(-x+2\right)^2,\\\left(-x+2\right)^2=1,\\x = 1, x = 3$

4 0

2 years ago

Please help me on this

serious [3.7K]

Just rotate it 90 degrees clockwise like this

3 0

3 years ago

Read 2 more answers