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3 years ago

10

The area of a square is 729 square feet what is the length of the side

1 answer:

AVprozaik [17]3 years ago

6 0

The formula for the area of a square is:

$a = s^2 = 729$

Therefore, s would be the square root 729:

$s = \sqrt{729} = 27$

Your answer is 27 ft.

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0

Tom [10]

Answer:

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

Step-by-step explanation:

The given equation is

$(2x+3)^2+8(2x+3)+11=0$

Let us treat this as a quadratic equation in $(2x+3)$ .

where $a=1,b=8,c=11$

The solution is given by the quadratic formula;

$(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}$

We substitute these values into the formula to obtain;

$(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}$

$(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}$

$(2x+3)=\frac{-8\pm \sqrt{20} }{2}$

$(2x+3)=\frac{-8\pm2\sqrt{5} }{2}$

$(2x+3)=-4\pm \sqrt{5}$

$(2x+3)=-4-\sqrt{5}$ or $(2x+3)=-4+ \sqrt{5}$

$2x=-3-4-\sqrt{5}$ or $2x=-3-4+ \sqrt{5}$

$2x=-7-\sqrt{5}$ or $2x=-7+ \sqrt{5}$

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

5 0

3 years ago

given the vector with a manitude of 9m at an angle a of -80 degrees, decompose this vector into two vector components oarallel t

lana [24]

Answer:

We have the magnitude, M, and the angle A.

(The angle is always measured from the +x-axis)

Then we have that:

x = M*cos(A)

y = M*sin(A)

in this case:

M = 9m

A = -80°

x = 9m*cos(-80°) = 1.562

y = 9m*sin(-80) = -8.86m

Now, the component parallel to the x axis is:

x = 9m*cos(-80°) = 1.562 m

And the slope of something parallel to the x-axis is always zero, as this is a constant line.

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3 years ago

Brianna has six bags of soil filling one flower pot requires 1/3 of a bag of soil how many flower pots can be filled with the si

dimaraw [331]

Answer:

18

Step-by-step explanation:

$\frac{6}{1}$ ÷ $\frac{1}{3}$

Keep Change Flip

$\frac{6}{1}$ × $\frac{3}{1}$ = $\frac{18}{1}$

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3 years ago

Which statement below identifies the correct labeling of numbers in this diagram

statuscvo [17]

Answer:

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2 years ago

Bill rented a truck for one day.There was a base fee of $15.95,and there was a additional charge of 92 cents for each mile drive

denpristay [2]

Answer:

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Step-by-step explanation:

15.95+0.92 x=265.27

0.92 x=265.27-15.95

.92 x=249.32

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3 years ago