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alexgriva [62]
3 years ago
5

Round all answer to the nearest tenth.

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0

Answer:

Using the formula to calculate the area of a square, the side of the patio can be 11.4 ft.

Step-by-step explanation:

Square patio

Area: A=130 square feet= 130 ft^2

Side of the square: s=?

The formula to calculate the area of a square is:

A = s^2

Replacing A by 130 ft^2

130 ft^2 = s^2

Solving for s: Square root both sides of the equation above:

sqrt(130 ft^2) = sqrt(s^2)

11.40175425 ft = s

s = 11.40175425

Rounding to the nearest tenth:

s = 11.4 ft

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Answer:

Please check the step-by-step explanation for the answer.

Step-by-step explanation:

Considering the trigonometric expression

6sin^2\left(3x\right)=-3

Steps

\mathrm{Let:\:}\sin \left(3x\right)=u

6u^2=-3

\mathrm{Divide\:both\:sides\:by\:}6

\frac{6u^2}{6}=\frac{-3}{6}

u^2=-\frac{1}{2}

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

u=\sqrt{-\frac{1}{2}},\:u=-\sqrt{-\frac{1}{2}}

\mathrm{Simplify}\:\sqrt{-\frac{1}{2}}

\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}

=\sqrt{-1}\sqrt{\frac{1}{2}}

\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i

=i\sqrt{\frac{1}{2}}

Similarly,

-\sqrt{-\frac{1}{2}}=\quad -i\sqrt{\frac{1}{2}}

So,

u=i\sqrt{\frac{1}{2}},\:u=-i\sqrt{\frac{1}{2}}

\mathrm{Substitute\:back}\:u=\sin \left(3x\right)

\sin \left(3x\right)=i\sqrt{\frac{1}{2}},\:\sin \left(3x\right)=-i\sqrt{\frac{1}{2}}

So,

\sin \left(3x\right)=i\sqrt{\frac{1}{2}}\quad :\quad \mathrm{No\:Solutions}

and

\sin \left(3x\right)=-i\sqrt{\frac{1}{2}}\quad :\quad \mathrm{No\:Solutions}

\mathrm{Combine\:all\:the\:solutions}

\mathrm{No\:Solution\:for}\:x\in \mathbb{R}

Keywords: trigonometric equation, solution

Learn more about trigonometric equation solution from brainly.com/question/1687218

#learnwithBrainly

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Step-by-step explanation:

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Use the given conditions to write an equation in slope-intercept form. slope = -5, passing through (-4,2) My suggestion is to fi
Brut [27]

Answer:

<h2>y = -5x -18</h2>

Step-by-step explanation:

Plug-in values in point -slope form ;

y -y_1=m(x-x_1)\\y - 2 =-5(x-(-4))\\y-2 = -5(x+4)\\y-2 =-5x -20\\y = -5x -20+2\\y = -5x -18

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What is the vertex of the graph of y = 2(x - 3)2 + 4?
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Answer:

(3, 4)

Step-by-step explanation:

vertex is (h, k)

this equation is written in the form of

y = a(x -h) +k

which is why the vertex is (3, 4)

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3 years ago
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