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3 years ago

The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 110

Mathematics

1 answer:

yanalaym [24]3 years ago

3 0

Answer:

Use the formula of areal*b*h

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a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

3 years ago

Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-

coldgirl [10]

Answer:

c is all the points in the open interval (0,25)

Step-by-step explanation:

Here given is a function

$f(x) =x$ , which is continuous in the interval [0,25] and differentiable in (0,25)

Mean value theorem says there exists at least one c in the interval (0,25) such that

$f'(c) = \frac{f(25)-f(0)}{25-0}$

We have

$f(25)=25 and f(0) = 0\\f'(c) = 1$

For the given function

$f'(x) =1$

Hence we have c equals all the points in the open interval (0,25)

7 0

3 years ago

Can you please explain how to solve this?

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

hello,

as this is a parallelogram we can write that BE = DE so

15x + 4 = 9x + 6

<=> 15x - 9x + 4 = 6

<=> 6x = 6 - 4 = 2

<=> x = 2/6 = 1/3

so BE = DE = 15/3+4=5+4=9

so BD = BE + DE = 9 + 9 = 18

the correct answer is 18

hope this helps

7 0

4 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Kipish [7]

Answer:

y=1/4x−6

Step-by-step explanation:

Write in slope-intercept form, y = m x + b .

7 0

3 years ago

Read 2 more answers

The sequence follows a minus 3 pattern: 12, 9, 6, 3, ....

hram777 [196]

X times -3= a
i think thats it

3 0

3 years ago