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3 years ago

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Find the area of the shape

1 answer:

nydimaria [60]3 years ago

8 0

Answer: 3 pie symbol

Step-by-step explanation:

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Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar

lord [1]

Given:

Area of a circle, A=50.265 sq. units.

Radius of circle, r = 4 units.

To find:

The value of π to the nearest thousandth.

Solution:

Formula for area of a circle is

$A=\pi r^2$

$\dfrac{A}{r^2}=\pi$

$Ar^{-2}=\pi$

Now, using $Ar^{-2}$ expression, we can find the value of π.

$\pi=50.265904(4)^{-2}$

$\pi=\dfrac{50.265904}{4^2}$

$\pi=\dfrac{50.265904}{16}$

$\pi=3.141619$

Approximate the value to the nearest thousandth (three digits after decimal).

$\pi\approx 3.142$

Therefore, the approximated value of π is 3.142.

8 0

3 years ago

K - 263.48 = 381.09 solve this equation

Sedbober [7]

K-263.48=381.09
we add 263.48 on both sides
k=644.57

7 0

3 years ago

Read 2 more answers

Find the zeros of y = x + 6x- 4 by completing the square.

dsp73

Answer:

$\large\boxed{x=-3\pm\sqrt{13}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}$

8 0

3 years ago

Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

$\frac{d^{2}A}{dx^{2}} = -2$

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

$A = 640000\,yd^{2}$

8 0

3 years ago

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THIS IS URGENT!<br> add 7-9=7+(-9)

Burka [1]

Answer:

-3=3

<h2><em>Hope this helps!!!</em></h2>

7 0

3 years ago

Read 2 more answers