Find the number whose arithmetic square root is 0.6

Answer:

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area = [tex]49\ \text{ft}^2[/tex]

[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]

Permiter of a rectangle is given by

[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]

Equating with zero

[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]

Double derivative of the equation

[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]

So the value of y is minimum at 7.

[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]

Hence, [tex]x=7,y=7[/tex]

The mimimum length and breadth of the rectangle is both 7 ft.

The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.

An expression is a statement consisting of variables, constants, and mathematical operators.

The expression x²+8 can be written as

( x )² - ( 2√2i)²

This is representing the binomial Identity

a² - b² = ( a+b) (a-b)

here a = x , b =2√2i

The expression can be written as

( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)

Therefore, The correct option is D.

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

Answer: D.)

Step-by-step explanation: I got it right on the test!!

Answer:

5971

Step-by-step explanation:

Answer:

19x-y=-5

Step-by-step explanation:

Tip: don't say you need an answer for a test may get reported or banned. :)

You're welcome :)

Answer:

450 minutes

Step-by-step explanation:

Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.

Answer:

450 Minutes or 7 hours 30 minutes

Step-by-step explanation:

Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes

Hope this helped :)

Answer:

-2

Step-by-step explanation:

the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so

_2+7=5

Answer is 12! Gl on what ur doing!

Answer:

25

Step-by-step explanation:

if 20 is 4/5 then you just reverse egineer and you get it

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

Answer:

4

Step-by-step explanation:

Answer:

Its A (A is 4)

Step-by-step explanation:

Also correct on Edge 2021

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Answer:

a=56/15

Step-by-step explanation:

3a/7=8/5

3a=56/5

a=56/15

Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]

Distribute -5 through the parentheses

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}[/tex]

[tex]\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}[/tex]

[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}[/tex]

Move 30x to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]

Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]

The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]

Divide both sides by 24

[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]

Dividing a negative integer by a positive integers gives a negative integer.

[tex]\longrightarrow{\sf{x = -2 }}[/tex]

-----------------------------------------------------

L.H.S = -6x + 13

Plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]

Multiplying negative integers by a negative integer gives a positive integer.

[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]

Add the numbers : 12 and 13

[tex] \longrightarrow{ \sf{25}}[/tex]

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]

Multiplying a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]

[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]

Subtract 12 from 7

[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]

[tex]\longrightarrow{\sf{25}}[/tex]

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

Hello!

Step-by-step explanation:

What did the thief get for stealing the calendar?

Here is a riddle

Step-by-step explanation:

K=7,

F+G=K+7

F+G=7+7

F=7, G=7 proved

Answer:

The answer is 14. Hope this helps.

Step-by-step explanation:

Answer:

49, 51, 53

Step-by-step explanation:

Let the first odd integer be n.

Then the consecutive odd integer will be (n+2).

This will be followed by (n+4).

We know that the sum of these three is 153. In other words:

[tex]n+(n+2)+(n+4)=153[/tex]

Solve for n. Combine like terms:

[tex]3n+6=153[/tex]

Subtract 6 from both sides:

[tex]3n=147[/tex]

Divide both sides by 3:

[tex]n=49[/tex]

Therefore, our first odd number is 49.

So, our consecutive numbers must be 51 and 53.

Hence, our sequence is:

49, 51, 53

Notes:

If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.

Answer:

49, 51, 53

Step-by-step explanation:

All odd numbers:

49 + 51 = 100

100 + 53 = 153

Answer:

8:17

Step-by-step explanation:

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

the answer is 8.

Step-by-step explanation:

Brainliest? uwu

Answer:

8 :)

You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.

Answer:

[tex]\%Increase = 36\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 8.50[/tex]

[tex]Final = 11.56[/tex]

Required

Determine the percentage increase

Percentage increase is calculated using:

[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\%Increase = \frac{11.56 - 8.50}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06 * 100\%}{8.50}[/tex]

[tex]\%Increase = \frac{306\%}{8.50}[/tex]

[tex]\%Increase = 36\%[/tex]

Hence, the percentage increase in price is 36%

Answer:

S - 17=64

Step-by-step explanation:

Answer:

7-pound bag of barley for $6.72 is a better buy.

Step-by-step explanation:

7-pound bag of barley for $6.72

6.72 : 7 = 0.96

check your work: 0.96 x 7 = 6.72

so for the first offer you will be paying $0.96 per pound

312-ounce bag of barley for $28.08

1 pound = 16 ounces

312 ounces = 19.5 pounds

28.08 : 19.5 = 1.44

for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.

hope this helps!

Answer:

7-pound bag of barley for $6.72

Step-by-step explanation:

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

please make as brainleylist

Answer:

No, a porportional relationship is not shown

Step-by-step explanation:

Up until 4(x) and 10(y), the relationship is porportional. Then, when x increases by 2, y also only increases by 2. Y would need to increase by 5.

Answer:

312

Step-by-step explanation:

52x6