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3 years ago

HELP needed!Complete the steps to find the value of x within the plane?

Mathematics

2 answers:

andriy [413]3 years ago

6 0

I’m pretty sure it’s

2x=128
x= 64

lorasvet [3.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

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Simplify the equation (2+√3 + 1/2+√3)²

Andreyy89

73/4 + 10√3 I think I’m not sure.

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3 years ago

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Write the fraction of rentals that were horror movie

agasfer [191]

Answer:

1/20

Step-by-step explanation:

if you add them all up it equals 100.And 5% was horror movies. 5/100 you divide both the top and the bottom by 5 and you get 1/20... I hope that this helpful

6 0

3 years ago

A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

fomenos

Answer:

Wire used for square is 7.55 m.

Step-by-step explanation:

Let the length of wire cut for square be 'x'.

Given:

Total length of the wire = 25 m

Length of wire for square = 'x'

Length of wire for equilateral triangle = $25-x$

Now, area of square (a) = $x^2$

Area of equilateral triangle (e) is given as:

$e=\frac{\sqrt3}{4}(25-x)^2$

Now, total area (A) is given as:

$A=a+e\\\\A=x^2+\frac{\sqrt3}{4}(25-x)^2$

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.

∴ $\frac{dA}{dx}=0$

$\frac{d}{dx}(x^2+\frac{\sqrt3}{4}(25-x)^2)=0\\\\2x-\frac{\sqrt3}{2}(25-x)=0\\\\2x+\frac{x\sqrt3}{2}=\frac{25\sqrt3}{2}\\\\x(2+\frac{\sqrt3}{2})=\frac{25\sqrt3}{2}\\\\x(4+\sqrt3)=25\sqrt3\\\\x=\frac{25\sqrt3}{4+\sqrt3}=7.55\ m$

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.

3 0

3 years ago

A bag contains 120 balls. The ratio of red to blue balls is 10:2

Alina [70]

Answer:

100 red balls and 20 blue balls.

Step-by-step explanation:

So to find out what you need to multiply the ratio by to get the answer, you add 10 and 2. That's 12. 120/12 is 10. 10:2 times 10 = 100: 20, so there are 100 red balls and 20 blue balls.

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2 years ago

Completely factor the given polynomial, if possible. If the polynomial cannot be factored, write NF for your answer.X^3+14x^2+45

vova2212 [387]

Given

$x^3+14x^2+45x$

Answer

$\begin{gathered} x^3+14x^2+45x \\ =x(x^2+14x+45) \\ =x(x^2+5x+9x+45) \\ =x(x+5)(x+9) \end{gathered}$

8 0

1 year ago

HELP needed!Complete the steps to find the value of x within the plane?​

HELP needed!Complete the steps to find the value of x within the plane?