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2 years ago

Is 5/8 an irrational number.?

Mathematics

2 answers:

Nikitich [7]2 years ago

4 0

Step-by-step explanation:

yes it is . becoz if you kbow the 5 is to 8 means it is an irrational number

BlackZzzverrR [31]2 years ago

3 0

Answer:

Step-by-step explanation:

an irrational number is a number that can't be expressed in fraction

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Let f(x) = x^2 − 3x − 7. Find f(−3).

IRINA_888 [86]

Answer:

Step-by-step explanation:

(-3)²-3(-3)-7

9+9-7

7 0

2 years ago

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A manufacturing plant earned $80 per man hour of labor when it opened. Each year, the plant earns an additional 5% per man hour.

Mekhanik [1.2K]

Answer:

The amount that plant earns per man hour after (t) years it open is $80 $(1.05)^{\textrm t}$ .

Step-by-step explanation:

Given as :

The earning of manufacturing plant when it opened = $ 80 per man hour

The rate of plant earning per man hour = 5 %

Let The earning of plant after t years = A( t )

So,

The earning of plant after t years = initial earning × $(1+ \dfrac{\textrm rate}{100})^{\textrm Time}$

Or, A(t) = $ 80 × $(1+ \dfrac{\textrm 5}{100})^{\textrm t}$

or, A(t) = $ 80 × $(1.05)^{\textrm t}$

Hence The amount that plant earns per man hour after (t) years it open is $80 $(1.05)^{\textrm t}$ . Answer

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3 years ago

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Math come help plese

Ray Of Light [21]

Answer:

Step-by-step explanation:

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2 years ago

Solve by taking the square root of both sides. 3(x+4)^2-24=0

VARVARA [1.3K]

3(x+4)^2-24=0

3(x+4)^2 = 24

(x+4)^2 = 24/3

(x+4)^2 = 8

(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4

6 0

3 years ago

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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