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Setler79 [48]
3 years ago
8

A circle with a circumference of 6 has an arc with 20 central angle

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

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What is 7.25-6.17=? in subtracting decimals
Aleks04 [339]

Answer:

1.08

Step-by-step explanation:

5 0
3 years ago
jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

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

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

8 0
3 years ago
Algebra 1: Factoring Polynomials Factor the common factor out of each expression: 40n^4m^2+40n^3m^3-32n^3
Nina [5.8K]
Taking out the greatest common factor

GCF of 40, 40 and 32  = 8
GCF of n^4, n^3 and n^3  is n^3

so the factors are

8n^3(5nm^2 +5m^3 - 4)
7 0
3 years ago
Find the value of x.
ehidna [41]

Answer:

x = 25

Step-by-step explanation:

We know that the remaining angles add up to 90°, because the right angle (triangles have 180° total.)

2x + 15 + x = 90 | Given

3x + 15 = 90 | Combine x

3x = 75 | Subtract 15

x = 25

4 0
2 years ago
Quadratic formula for x^2-4x+5=0
Feliz [49]
Here go to this website, it will explain everything 
https://www.symbolab.com/solver/quadratic-equation-calculator/2x%5E%7B2%7D-4x+5=0
3 0
3 years ago
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