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3 years ago

Which of these numbers is an irrational numbers

Mathematics

1 answer:

Aliun [14]3 years ago

8 0

Answer:square root of 25 square root of 4

Step-by-step explanation:

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HURRY

Roman55 [17]

Answer:

Step-by-step explanation:

0 = 8 is a false statement which means the system has no solutions

6 0

3 years ago

If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid

Artist 52 [7]

Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\quad 
\begin{cases}
l = length\\
w=width\\
h=height\\
-----\\
w=l=x
\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\
-------------------------------\\\\
\textit{surface area}\\\\
S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h
\\\\\\
\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\
-------------------------------\\\\
V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3$

so.. that'd be the V(x) for such box, now, where is the maximum point at?

$\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2
\\\\\\
\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100
\\\\\\
x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}$

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.

so, the volume will then be at $\bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3$

6 0

3 years ago

2. Which graph represents the solution to the given system? (1 point)

matrenka [14]

Answer:

1000000000000000million

4 0

2 years ago

*The rectangle to the left is divided into 12 shapes. One of them is a rectangle labeled with #1 and the remaining 11 shapes are

Mandarinka [93]

Given that the length of side of shaded area is 1 ft.

Making equal square of size of shaded area we have:

Horizontally number of shaded area are 12

Vertically number of shaded area are 11

So, the horizontal length of big rectangle is 12 ft.

The vertical length of big rectangle is 11 ft.

Area of big rectangle is 12*11

Area of given rectangle is 132 sq.ft.

6 0

3 years ago

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all en

hjlf

Distribute +1
78=1/2x+x-6
combine like terms
1=(2/2)
(1/2)+(2/2)= 3/2
78=3/2x-6
Add 6 to both sides
84=3/2x
Divide by (3/2)
x=$56=adult ticket
Child ticket = x-6=56-6=$50
$50

7 0

3 years ago

Which of these numbers is an irrational numbers​

Which of these numbers is an irrational numbers