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Lemur [1.5K]
3 years ago
14

Algebra 2 Grade 11

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

Answer:

I NEED HELP TOO

Step-by-step explanation:

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Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = \sqrt{400 - b^2}

A = bh

A = b\sqrt{400 - b^2}

Area will be maximized when the derivative is set to zero

           dA/db = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

                   0 = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

b²/\sqrt{400 - b^2} =  \sqrt{400 - b^2}

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = \sqrt{200}

h = \sqrt{400 - b^2}

h = \sqrt{400 - \sqrt{200}^2 }

h = \sqrt{200}

A = bh

A =  \sqrt{200}•\sqrt{200}

A = 200 units²

5 0
3 years ago
X^12y^-13x^-5y^ 4 is equivalent to x^m y^n
mote1985 [20]

Answer:

x^7y^-9

Step-by-step explanation:

4 0
3 years ago
Hi help me please is urgent and thank you
alexandr1967 [171]
When subtracting change the positives to negatives and the negatives to positives then add. When adding just add normally. MAKE SURE IT IS IN STANDARD POLYNOMIAL FORM!
4 0
4 years ago
Read 2 more answers
I need to gina the length of the side
scZoUnD [109]

Answer:

15

Step-by-step explanation:

9 squared + 12 squared = x squared

81 + 144 = x

81 + 144 = 225

the sqaure root of 225 = 15

4 0
3 years ago
The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is soli
Rudiy27
Solid...(-3,0)(-4,-1)...shaded below the line

slope = (-1-0) / (-4-(-3) = -1/(-4 + 3) = -1/-1 = 1

y = mx + b
-1 = 1(-4) + b
-1 = -4 + b
-1 + 4 = b
3 = b

this line is : y < = x + 3 <== (thats less then or equal)
====================
solid...(1,1)(2,-1)...shaded below the line

slope = (-1-1) / (2-1) = -2/1 = -2

y = mx + b
1 = -2(1) + b
1 = -2 + b
1 + 2 = b
3 = b

this line is : y < = -2x + 3 <== (thats less then or equal)

6 0
3 years ago
Read 2 more answers
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