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3 years ago

Need help! Whole answer is on the pic.

Mathematics

1 answer:

White raven [17]3 years ago

4 0

Answer:

Step-by-step explanation:

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You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

Please help I don't understand

aksik [14]

Answer:

y=16(x)+7(y)

y=16 + 7

y=23

im not sure bc is nt info but i think i this

Step-by-step explanation:

5 0

2 years ago

Integrated mathematics 2. need help with chapter 5 test please

Pani-rosa [81]

Answer:

1/4

Step-by-step explanation:

$\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }$

$\text{which contains 52 cards. There are 13 diamonds in a pack.}$

$\text{Probability of an event:}$

$\text{ Number of favorable outcomes / Total number of outcomes}$

$\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.$

$\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}$ .

8 0

2 years ago

Write the equation of a line that is parallel to the line-y=-x+6

Ostrovityanka [42]

Answer:

y=x-5

Step-by-step explanation:

y=mx+b

if lines are parallel then that means the slope (m) is the same so the only thing left to change is the y-intercept (b). this can be anything but probably shouldn't be what the original was

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3 years ago

Find the equation of the straight line passing through the point (0, 1) which is perpendicular to the line

katrin2010 [14]

Aloooha how r u ďéßpàčìþò

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3 years ago

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