Class 6 MATHS is this correct? ​

9514 1404 393

Answer:

  A. 50 ft square

  B. 12√2 ft square

Step-by-step explanation:

These problems are basically the same, so have the same solution. The rectangle with maximum area for a given perimeter will have the same shape as the one with minimum perimeter for a given area.

We can find it generically. Let p represent the perimeter of a rectangular area with one side that measures x. The area will be ...

  A = x(p/2 -x) = -x^2 +(p/2)x

The area will be maximized when dA/dx = 0:

  dA/dx = -2x +p/2 = 0

  p/2 = 2x . . . . . add 2x

  x = p/4 . . . . . . divide by 2

The other dimension is ...

  p/2 -x = p/2 -p/4 = p/4

The dimensions of the maximum area for perimeter p are ...

  p/4 × p/4 . . . . . . . a square

__

$2400 worth of fence at $12 per foot is 2400/12 = 200 ft of fence. The largest possible area that can be enclosed will have dimensions of 200 ft/4 = 50 ft square:

  50 ft × 50 ft

__

The perimeter of the garden will be at its shortest when the shape of the garden is square.

  √(288 ft²) = 12√2 ft

The dimensions of the garden that will minimize the cost are ...

  12√2 ft × 12√2 ft

Here is how you're line should look!

Answer:

hairdresser cuts 8 inches

Step-by-step explanation:

32 ÷4 =8

The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.

Now,

Since, A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.

Hence, We get;

The cost of 10 gallons of gasoline = 10 × $2.29

                                                    = $22.9

And, The cost of 2 quarts of oil = 2 × $1.89

                                                = $3.78

So, The total cost = $3.78 + $22.9

                           = $26.68

                           ≈ $27

Thus, The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.

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I finally was able to answer

Step-by-step explanation:

2x-3x-18≥0

2x-3x≥18

factorise

x(2-3)≥18

x≥[tex]\frac{18}{(2-3)}[/tex]

I hope this helped but i've done this in the way my tutor taught me :)

Answer:

cos(30) = (sqrt(3)/2) * cos(0)    

Step-by-step explanation:

cos(0) = 1

cos(30) = sqrt(3)/2

Thus, we can write that:

cos(30) = (sqrt(3)/2) * cos(0)

Answer:

Where's The Answer Im Sorry I Didn't See Anything....m

Step-by-step explanation:

a))) -31-71=-102

b)-9+14=+5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

A. - 31 - 71 = - 102

B. - 9 + 14 = 5

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.

B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Tan x = 1

Step-by-step explanation:

As a tangent of 90° is impossible, x must be the measure of both of the 45° angles.

If we assume 3 is the length of one of the shorter legs, it is also the length of the other of the shorter leg

Tangent x = Opposite/Adjacent = 3/3 = 1

Answer:

Greatest common factor of 280 and 168 is 56

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Brainliest will be appreciated thank you!

Answer: y=5x-7

I hope this helps I would appreciate brainliest if possible :)

Step-by-step explanation:

Answer:

Emiko has the greatest percent error

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Firstly,

Minus $123.10 with $34

123.10-34

= 89.10

(bcuz $34 is the reservation fee)

Secondly,

Divide $89.10 with $9.90 to determine the hours

t = 89.10/9.90

= 9

Last answer = 9 hours

Answer:

1. 4.05 x 10^-4

2. 49,345,000

3. 2.357897 × 10^9

Answer:

Option 2: A=1, B=3, C=4

Step-by-step explanation:

Answer:

3x^2 and 9x^2, 3x and 4x

Step-by-step explanation:

9514 1404 393

Answer:

  $20.01

Step-by-step explanation:

In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...

  (1.00002^17)(1.00004^1) = 1.00038006801

Then the account balance is ...

  $20 × 1.00038006801 ≈ $20.01

_____

Additional comment

The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.

Answer:

Step-by-step explanation:

Given equation:

Solve for x:

____________

[tex] \: [/tex]

[tex] \frac{x}{2 - 8} = y[/tex]

[tex] \frac{x}{2} = y + 8[/tex]

[tex]x = \bold{2y + 16}[/tex]

Answer:

70

Step-by-step explanation:

Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).

When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:

⇒ Vertex D(-2, 2) becomes D'(-2, -2),

⇒ Vertex E(1, 5) becomes E'(-5, 1),

⇒ Vertex F(4, -1) becomes F'(1, 4),

This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.

Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).

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The blue area on the graph are all the possible solutions. The chili beans need to be less than 3 and the corn husks need to be less than 7

Answers are: A, B, C and E

Answer:

-1;undefined;1;0

Step-by-step explanation:

The first one (-9/9), can also be written as - 9/9 = - 1.

The second one (9/0), is undefined because every single term even 0 itself, if you divide it by 0, it'll be undefined!

The third one, we see we have division, and whenever we have division or multiplication and also 2 negative signs, they cancel each other, as you're left with 9/9=1.

The fourth one, whenever you have 0 at the numerator, no matter the denominator(only matters when it's =0, but that's undefined), the result will always be 0 !

Answer:

Step-by-step explanation:

let b be boat velocity

let c be current velocity

(b - c)4 = 192

(b + c)3 = 192

(b - c)4 = (b + c)3

4b - 4c = 3b + 3c

        b = 7c

(7c - c)4 = 192

    (6c)4 = 192

      24c = 192

          c = 8 km/hr

b = 7(8) = 56 km/hr

Answer:

∠A = 90°

Step-by-step explanation:

∠A = 3∠B

∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B

∠A + ∠B + ∠C = 180, because there are 180° inside a triangle

Write angle A, B and C in terms of angle B:

3 ∠B + ∠B + 2 ∠B = 180

Simplify:

6 ∠B = 180

∠B = 180 ÷ 6 = 30°

Work out angle A:

∠A = 3∠B = 3 × 30°

∠A = 90°

Answer:

Step-by-step explanation:

1) c

x² = 1

x² - 1 = 0

Degree of quadratic equation should be 2.

2) 'a'- coefficient of x² cannot be 0

option a

3) option c

Standard form: ax² + bx +c = 0

4) c = 5

3x² + 8x = -5

3x² + 8x + 5 = 0

option c

5) b= 0

option a

Answer:

9000

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

First calculate the total number of students:

Girls + boys

= 46 + 115

= 161

Then divide the number of boys over all students

= 115/161

= 5/7