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2 years ago

Someone please help ASAP will give brainliest

Mathematics

2 answers:

marta [7]2 years ago

8 0

Answer:

A (0.433012702)

B (0.5)

C (0.75)

D (0.866025404)

E (1.5)

Step-by-step explanation:

A. (Repeated Decimal)

B. (Not Repeated Decimal)

C. (Not Repeated Decimal)

D. (Repeated Decimal)

E. (Not Repeated Decimal)

Extra Information:

Repeated Decimal are irrational

Vladimir79 [104]2 years ago

7 0

sqrt (3/16) and sqrt (3/4) are irrational

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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

What is the surface area of a storage box that measures 15 centimeters by 12 centimeters by 8 centimeters?

Leya [2.2K]

L = 15
w = 12
h = 8

Surface Area = 2(lw + wh + lh)
S.A. = 2(15*12 + 12*8 + 15*8)
S.A. = 2(180 + 96 + 120)
S.A. = 2(396)
S.A. = 792 cm^2

7 0

3 years ago

Does anyone know the answer to this?

ss7ja [257]

Answer: equation: y=-4x+1

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1 year ago

What is the width of the rectangle?<br><br> Area: 24 3/4<br> Length: 6 1/2<br> Width:

Vesnalui [34]

let's firstly convert the mixed fractions to improper fractions.

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3 years ago

If light travels at a speed of 300,000,000 meters per second. Find the distance travelled by light

Dmitriy789 [7]

Answer:

299792 km in one second

Step-by-step explanation:

I think it's helps you

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2 years ago