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2 years ago

Please help! I filled in a little circle bc i thought it was right XDD

Mathematics

2 answers:

alisha [4.7K]2 years ago

6 0

That’s correct, as you’re reversing the positive on both sides for that number. Nice!

liq [111]2 years ago

6 0

1st one is right.

The 4th and 2nd ones are obviously wrong. And the 3rd one is wrong too because you can’t add 3 1/5, because your trying to get rid of it.

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A piece of wire of length 6363 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the

Lerok [7]

Answer:

35.2792 cm from one end (The square)

And 27.7208 cm from the other end (The circle)

b. See (b) explanation below

Step-by-step explanation:

Given

Length of Wire ,= 63cm

Let L be the length of one side of the square

Circumference of a circle = 2πr

Perimeter of a square = 4L

a. To minimise

4L + 2πr = 63 ----- make r the subject of formula

2πr = 63 - 4L

r = (63 - 4L)/2π

r = (31.5 - 2L)/π

Let X = Area of the Square. + Area of the circle

X = L² + πr²

Substitute (31.5 - 2L)/π for r

So,

X² = L² + π((31.5 - 2L)/π)²

X² = L² + π(31.5 - 2L)²/π²

X² = L² + (31.5 - 2L)²/π

X² = L² + (992.25 - 126L + 4L²)/π

X² = L² + 992.25/π - 126L/π +4L²/π ------ Collect Like Terms

X² = 992.25/π - 126L/π + 4L²/π + L²

X² = 992.25/π - 126L/π (4/π + 1)L² ---- Arrange in descending order of power

X² = (4/π + 1)L² - 126L/π + 992.25/π

The coefficient of L² is positive so this represents a parabola that opens upward, so its vertex will be at a minimum

To find the x-cordinate of the vertex, we use the vertex formula

i.e

L = -b/2a

L = - (-126/π) / (2 * (4/π + 1)

L = (126/π) / ( 2 * (4 + π)/π)

L = (126/π) /( (8 + 2π)/π)

L = 126/π * π/(8 + 2π)

L = (126)/(8 + 2π)

L = 63/(4 + π)

So, for the minimum area, the side of a square will be 63/(4 + π)

= 8.8198 cm ---- Approximated

We will need to cut the wire at 4 times the side of the square. (i.e. the four sides of the square)

I.e.

4 * (63/(4 + π)) cm

35.2792 cm from one end.

Subtract this result from 63, we'll get the other end.

i.e. 63 - 35.2792

= 27.7208 cm from the other end

b. To maximize

Now for the maximum area.

The problem is only defined for 0 ≤ L ≤ 63/4 which gives

0 ≤ L ≤ 15.75

When L=0, the square shrinks to 0 and the whole 63 cm wire is made into a circle.

Similarly, when L =15.75 cm, the whole 63 cm wire is made into a square, the circle shrinks to 0.

Since the parabola opens upward, the maximum value is at one endpoint of the interval, either when

L=0 or when L = 15.75.

It is well known that if a piece of wire is bent into a circle or a square, the circle will have more area, so we will assume that the maximum area would be when we "cut" the wire 0, or no, centimeters from the

end, and bend the whole wire into a circle. That is we don't cut the wire at

all.

7 0

2 years ago

How did I get a 2 here (simplifying ratios)

PilotLPTM [1.2K]

Answer:

$\frac{2x {}^{2} + 14x + 24 }{4 {x}^{2} + 4x - 48 } = \frac{x + 4}{2(x - 2)}$

Step-by-step explanation:

Please see attached picture for full solution.

4 0

3 years ago

40•(420:x-37)=200 помогите решить уравнение

miv72 [106K]

40•(420:x-37)=200 означает $40(\frac{420}{x}-37)=200$

разделите обе стороны на 40

$\frac{420}{x}-37=5$

добавить 37 с обеих сторон

$\frac{420}{x}=42$

умножить обе стороны на х
420=42x

разделите обе стороны на 42
10=x
x=10

4 0

3 years ago

PLEASE HELP ME IMMEDIATELY

valkas [14]

Answer:

Angle 1 = Angle 2 = 5y -23 (Vertically opposite)

We can see that we have a triangle in the figure

Since the sum of all angles of a triangle is 180,

(2x + 13) + (47) + (5y -23) = 180

2x + 5y + 37 = 180

2x + 5y = 143

5y = 143 -2x -----------------(1)

Assuming l and m to be parallel

angle 1 = 3x (corresponding angles)

5y - 23 = 3x

From equation (1)

143 -2x - 23 = 3x

120 = 5x

x = 24 ---------------------- (2)

Using (2) in (1)

5y = 143 - 2(24)

5y = 143 - 48

5y = 95

y = 19

Therefore,

x = 24

y = 19

Kindly mark Brainliest

8 0

3 years ago

Giving brainliest to first answer!!

almond37 [142]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers