What is the gradient of the blue line?

♡ The Question ♡      

A scale model drawing of a room is 4 centimeters wide and 12 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.4 meters.  

What is the area of the actual room?  

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♡ The Answer ♡      

23.52 m² !  

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♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

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♡ Tips ♡        

-No tips provided!

The actual area of the room will be 23.52 m².

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;

Width of room = 4 cm

Length of room = 12 cm

And, The scale model uses a scale in which 2 centimeters represents 1.4 meters.

Now,

Since, The scale model uses a scale in which 2 centimeters represents 1.4 meters.

That is,

2 cm = 1.4 m

1 cm = 0.7 m

So, The width of room = 4 cm

                                   = 4 x 0.7 m

                                   = 2.8 m

And, The length of room = 12 cm

                                      = 12 x 0.7 m

                                      = 8.4 m

Thus, The actual area of room = Length x Width

                                               = 8.4 x 2.8 m²

                                              = 23.52 m²

Therefore, The actual area of the room will be 23.52 m².

Learn more about the multiplication visit:

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Answer:

c

Step-by-step explanation:

hoped it helped you:)))

Answer:

Step-by-step explanation:

Trust me - 19

Answer:

Lollll unless this isn't a joke it's 19, if it is a joke then it's 21

Answer:

0=15-21.5

Step-by-step explanation:

21.5=15

0=15-21.5

Answer:

5.5 x 105 = 577.5

2.5 x 104 = 160

Step-by-step explanation:

Step-by-step explanation:

5.5×104=577.5

2.5×104=206

Answer:

5 pints is equal to 10 cups

Step-by-step explanation:

A

thats where anything with 2 negatives are

Answer:

A

Step-by-step explanation:

in quadrant III

Answer:

>

Step-by-step explanation:

> 117 is greater than 17

Answer:

w will be less than 75.

Step-by-step explanation:

Given the expression;

75/w = 150/100

We are to determine whether w is greater than or less than 75.

If you look at the right hand side of the expression, 150/100, you will see that the denominator is greater than the numerator. Due to the equality sign between the fractions, the same will be applicable to 75/w meaning that w will also be less than 75.

Answer:

The expected value of X = 1.4

Step-by-step explanation:

Given that:

The probability of Ben calling Chris = 0.3

The probability of Chris calling Adam = 0.4

The probability of Daisy calling Adam = 0.7

The probability distribution function can be calculated as follows:

P(X = 0) = P( nobody calls Adam)

= (1 - 0.3)×(1 - 0.4)×(1 - 0.7)

= 0.7 × 0.6 × 0.3

= 0.126

P(X = 1) =  P(if only Ben call +if only Chris call + if only Daisy call)

P(X = 1) = 0.3 × (1-0.4)  × (1-0.7) + (1-0.3) × 0.4 × (1 - 0.7) + (1 - 0.3)  × (1-0.4)  × 0.7

P(X = 1) = (0.3 × 0.6 × 0.3) + (0.7 × 0.4 × 0.3) + (0.7 × 0.6 × 0.7)

P(X = 1) = 0.432

P(X = 2) = P(if only Ben & Chris Call + if only  Ben & Daisy call + if only Chris & Daisy call)

P(X = 2) = 0.3 × 0.4 × (1 - 0.7) + 0.3 × 0.7 × (1 - 0.4) + (1 - 0.3) × 0.4 × 0.7

P(X = 2) =  ( 0.3 × 0.4 × 0.3 ) + (0.3 × 0.7 × 0.6) + (0.7 × 0.4 × 0.7)

P(X = 2) = 0.358

P(X = 3) = P(i.e. all three call) =0.3 × 0.4 × 0.7 = 0.084

Therefore; the expected value of X is calculated by using the formula:

[tex]E(X) = \sum x P(X=x)[/tex]

E(X) = (0 × 0.126) + (1 × 0.432) + (2 × 0.358) + (3 × 0.084)

E(X) = 0 + 0.432 + 0.716 + 0.252

E(X) = 1.4

Thus, the expected value of X = 1.4

Answer:

Bill will have 257 candy bars left!

Step-by-step explanation:

just do 300 - 43

Answer:

HEEYYYY

Step-by-step explanation:

THANK YOU SO MUCH!!! :)

Answergbshrkghjgfsgsfg

Step-by-step explanation:

sgsfgafgfgfgffg

Answer:

Interest earned: $150.85

Total amount: $850.86

Step-by-step explanation:

Y=700(1.05)^4

Put the right side of the equation into a calculator and get

850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85

Answer:

4 and 10 - acute

2 is acute, but 3 is obtuse

8 and 12 - acute

6 and 12 - acute

1 is obtuse 2 is acute

15 and 11 are obtuse

9 is obtuse but 8 is acute

2 and 4 are acute.

Step-by-step explanation:

I believe this is correct.

A right angle is a perfect corner. Think of a square and look at the corner, it doesn't go farther or shorter when it hits a side if you know what I mean by that. An acute angle is shorter than a right angle, or stops before it can be called a right angle. An obtuse angle is bigger than a right angle, or ends after the right angle point. I hope what I have just said here helps you with future problems!! Good luck :))

(-inf, 1]

Personal comment

Sorry this took so long

In short, you had it flipped, always put your smallest value first and your largest value second.

Reason:

Interval notation is

[(minima, maxima)]

Which is basically saying the minimum and the maximum, and as such you always end up having the smallest value first.

Putting the reasoning together;

A negative is always less than a positive in practice, therefore, your negative infinity should go first.

Hope this helps :)

Answer:

Width = 7, Length = 42

Step-by-step explanation:

Length is 6 times its width, means that it's the same number but times 6 so we'll use "x" for both length and width:

6x · x = 294

6x^2 = 294

divide both sides by 6

x^2 = 49

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{49}[/tex]

x = 7, width is 7 and length is 6(7) = 42

Answer:

24

Step-by-step explanation:

Do the equation in the () first, 8+4 = 12, and 12 x 2 = 24

Answer:

4.3 pages

beacause 26 divided by 6 is 4.3

Answer:

Number of movies for equal wage = 20

Step-by-step explanation:

Assume;

Number of movies for equal wage = x

So,

75 + 2x = 5.75 x

3.75 x = 75

x = 75 / 3.75

x = 20

So,

Number of movies for equal wage = 20

Answer: No, Titus is incorrect.

Step-by-step explanation: Two shapes are congruent when they have the same size and shape, but one is created of rotation, reversion or translation of the other.

So, hexagons FEDCBA and F'E'D'C'B'A' are congruent because they have the same size and shape, however they are reversed and translated from each other, i.e.:

Comparing the coordinates of both hexagons:

F (-6,6) → F' (6, -4)

A (-10,6) → A' (10,-4)

E (-4,4) → E' (4, -6)

B (-12,4) → B' (12, -6)

D (-6,2) → D' (6, -8)

C (-10,2) → C' (10, -8)

We notice that the transformation necessary to transform FEDCBA into F'E'D'C'B'A' is

Therefore, it is (x,y) → ( -x, y-10).

So, Titus is incorrect about the transformations that prove the hexagons are congruent.

Answer:

52+4? that's 56. the simplified version 4ft 6in

Step-by-step explanation:

Answer:

Step-by-step explanation:

It may be easier to find the sum, then "rationalize" the denominator.

  [tex]\dfrac{2i}{2+i}-\dfrac{3i}{3+i}=\dfrac{2i(3+i)-3i(2+i)}{(2+i)(3+i)}=\dfrac{6i+2i^2-6i-3i^2}{6+5i+i^2}\\\\=\dfrac{1}{5+5i}=\dfrac{5-5i}{(5+5i)(5-5i)}=\dfrac{5-5i}{25+25}=\dfrac{5-5i}{50}\\\\=\boxed{0.1-0.1i}[/tex]

__

Of course, it doesn't hurt to have a suitable calculator.

Answer:

D.

Step-by-step explanation:

Answer:Yes, he is correct

Step-by-step explanation:Plug 6 in as your x-value in the equation y=-275x+3500 and you will get y=1850

Answer:

10.4

Step-by-step explanation:

4.25 +3.4 + 2.75

Answer:

X=0.667

Step-by-step explanation:

3x-2=0

3x=2

X=2/3

X=0.667