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3 years ago

Find the length of a side of the square shown below. х 6V2 X = x = [?]

Mathematics

1 answer:

Leona [35]3 years ago

4 0

Answer:

x=6

Step-by-step explanation:

In a square, its angles are all 90 degrees. So, cutting a square in half into two triangles from corner to corner produces 45 degree angles on both sides. Since the triangles are now 45-45-90 triangles, we can use the rule where the hypotenuse of the triangle is equal to the square root of 2 times the length of either side. So, the side length is 6.

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determine the dimensions of a quadrilateral with a perimeter of 48 feet that will create the smallest area

Vsevolod [243]

A quadrilateral 24 ft long and 0 ft wide will have the smallest area.

4 0

3 years ago

Can somebody help me pleasee????

Marina86 [1]

Answer:

Step-by-step explanation:

3x + 3y = -x + 5y

3x + x = 5y - 3y

4x = 2y

Divide both by 2

2x = y

(1,2) when x=1, y=2

2(1)=2 is a true statement

(2,4) when x=2, y=4

2(2)=4 is a true statement

8 0

3 years ago

Find the domain for the function f(x)=sqrt x^2-x+6

dybincka [34]

Answer:

The domain is {x : x ∈ R} or (-∞ , ∞)

Step-by-step explanation:

* Lets explain how to find the domain

- The domain of the function is the values of x which make the

function defined

- The quantity under the square root must be ≥ 0 because there is

no square root for negative value

* Lets solve the problem

∵ f(x) = √(x² - x + 6)

∴ The value of (x² - x + 6) must be greater than or equal zero because

there is no square root for negative value

- Graph the function to know which values of x make the quantity

under the root is negative that means the values of x which make

the graph under the x-axis

∵ The graph doesn't intersect the x-axis at any point

∵ All the graph is above the x-axis

∴ There is no value of x make f(x) < 0

∴ x can be any real number

∴ The domain of f(x) is all real numbers

∴ The domain is {x : x ∈ R} or (-∞ , ∞)

6 0

3 years ago

In chemistry class 18 liters of 30% alcohol solution must be mixed with 20% solution to get 14% solution how many liters of 20%

alexdok [17]

If you are mixing a 30% solution with a 20% solution to obtain a 14% solution, you will never obtain a 14% solution.

5 0

3 years ago

Find the arc length of the partial circle.

amid [387]

The arc length of the partial circle is 7.5π

<h3>Calculating arc length</h3>

From the question, we are to determine the arc length of the partial circle

The length of an arc can be calculated by using the formula

$l = \frac{\theta}{360^\circ} \times 2\pi r$

Where $l$ is the length of the arc

$\theta$ is the angle subtended

and r is the radius

From the diagram,

θ = 270°

r = 5

Putting the values into the equation, we get

$l = \frac{270 ^\circ}{360^\circ} \times 2\pi \times 5$

$l = \frac{3}{4} \times 2\pi \times 5$

$l = \frac{30\pi}{4}$

$l = \frac{15}{2}\pi$ OR 7.5π

Hence, the arc length of the partial circle is 7.5π

Learn more on Calculating arc length here: brainly.com/question/16552139

#SPJ1

3 0

2 years ago