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2 years ago

Also please explain how

Mathematics

2 answers:

e-lub [12.9K]2 years ago

8 0

The answer is equaled to 1

ludmilkaskok [199]2 years ago

3 0

answer:

explanation:

you need to add the exponents, so 5-5= 0 and a number to the 0 is 1

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Best decimal equivalent to 5/8

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The best decimal equivalent is 10/16

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Someone please help me I’ll give out brainliest please dont answer if you don’t know

Andru [333]

Answer:

subtract 7 from both sides

2x < 7- 7

subtract 7 from 7 to get 0

2x < 0

product of two numbers is < 0 if one is > 0 and the other is < 0. since 2> 0, must be < 0.

x < 0

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1 year ago

You fill 1/4 of a 5 gallon bucket. how many more gallons of water will you need to fill the bucket

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1/4 of a five gallon bucket is 1 1/4 gallons.

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2 years ago

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

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

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

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2 years ago

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So think about it this way, Which line is most associated with the dots?

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