The width of Estelle's rectangular living room is 4 meters, and the distance between opposite corners is 7 meters. What is the length of Estelle's living room? If necessary, round to the nearest tenth.

Answer:

a=1  b=2

Step-by-step explanation:

a+2b=5

3a-b=1

Multiply the second equation by 2

6a-2b=2

Add the two equations together

a+2b=5

6a-2b=2

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7a    = 7

Divide by 7

7a/7 = 7/7

a=1

Now find b

3a-b =1

3(1) -b =1

3-b=1

Subtract 3 from each side

3-b-3=1-3

-b = -2

Multiply by -1

b=2

Answer:

please mark me brainliest

Step-by-step explanation:

a+2b=5...equ 1

3a-b=1...equ 2

3a+6b=15...equ 3

3a-b=1...equ 4

elimination method

3a has been cancelled

so 6b+b=7b

15-1=14

7b=14

b=14/7

b=2

substitute 2 for b in equ 2

3a-b=1

3a-2=1

3a=1+2

3a=3

a=3/3

a=1

a=1,b=2

Answer:

Step-by-step explanation:

A( 3 , 4)  &   C(5 , 8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]

M is the midpoint of AB

A(3,4)  &B(7,4)

[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]

M(5,4)

Answer:

Hello,

Step-by-step explanation:

possible rational roots are:

-6/1

-3/1

-2,/1

-1/1

1/1

2/1

3/1

6/1

Answer:

57 inches

Step-by-step explanation:

It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days

Answer:

2tanθ -2 = y

Step-by-step explanation:

First, to make things a little simpler, we can say that the point between C and B is D, so BD = y

We are given that ∠ADC = 45° , and ∠ACD = 90°. Because the angles of a triangle add up to 180 degrees, we can say

∠CAD + ∠ACD + ∠ADC = 180°

∠CAD + 90 + 45 = 180

∠CAD = 45°

In a 45/45/90 degree triangle, we can say that the two non-hypotenuse sides are the same. The hypotenuse is opposite of the right angle, so in this triangle, it would be AD. Therefore, we can say that AC = CD = 2

Because BC = CD + DB , we can say that

BC = CD + DB

BC = 2 + y

y = BC -2

Therefore, if we know BC, we can solve for y.

We want to solve for BC given

- the angle opposite of it (θ)

- the side adjacent to the angle (AC).

One equation that fits this is

tanθ = opposite/adjacent

tanθ = BC/AC

tanθ  = (2+y)/2

multiply both sides by 2 to remove a denominator

2 tanθ=2+y

subtract 2 from both sides to isolate th y

2tanθ -2 = y

Answer:

a = 38

Step-by-step explanation:

The two angles add to 90 degrees

a+52 = 90

a = 90-52

a = 38

Answer:

Below

Step-by-step explanation:

The little box on the angle indicates that it is 90 degrees

All you need to do now to find angle a is to subtract 52 from 90...

90 - 52 = 38 degrees

Hope this helped!

Answer:

Here is your answer . hope this helps you.

Answer:

yes and?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Hello!

First of all you have to understand the order of operations.

PEMDAS

Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.

From this you can see that we first have to deal with the exponent, then multiplication, then the addition.

So we get 2+9-(-1)

The 9 is from -3^2

2+9+1

11+1

12.

Hope this helps!

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Value of n:

[tex]5n - 17 = 2n + 1[/tex]

[tex]5n - 2n = 1 + 17[/tex]

[tex]3n = 18[/tex]

[tex]n = \frac{18}{3}[/tex]

[tex]n = 6[/tex]

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

Lengths:

The lengths are given as functions of n, since n = 6:

The length of the sides are: 13 cm, 13 cm and 6 cm.

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

Perimeter:

The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.

A similar question is given at https://brainly.com/question/6139098

Answer:

C

Step-by-step explanation:

as it goes 4.66666666... forever.

A is just a rounded answer.

B would mean 4.6767676767...

and D is just truncated.

Answer:

a/b

Step-by-step explanation:

The rational form of a:b or simply a/b is in the simplest form.

Answer:

Step-by-step explanation:

the answer is option 2 from the above sheet

Answer:

Step-by-step explanation:

Permutations of "Panda"

Two of the 'Panda" s we can get as a result

Using Permutation

[tex]\boxed{\sf ^nP_r=n!}[/tex]

[tex]\\ \sf\longmapsto ^5P_r=5![/tex]

[tex]\\ \sf\longmapsto 1\times 2\times 3\times 4\times 5[/tex]

[tex]\\ \sf\longmapsto 120[/tex]

Now

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{2}{120}[/tex]

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{1}{60}[/tex]

Answer: 111.1 m

Step-by-step explanation:

(30*2)/60 = 1 km ( the tunnel length is 1 Km.)

1 Km = 1000 m.

1000/9 = 111.1 m.

Answer:

[tex] - 2a(2b - 3a) = - 2a2b + 2a3a \\ = - 4ab + 6 {a}^{2} \\ thank \: you[/tex]

Answer:

78 minutes or 1 hour and 18 minutes

Step-by-step explanation:

Add 5 and 63 and 10

I think 12 minutes will pass until the tempature reaches 80.8

The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Damian is monitoring the temperature of the swimming pool. It is currently 86.8° and cooling 0.5° per minute. Then the equation will be

y = 86.8 - 0.5x

The number of minutes when the temperature of the swimming pool be 80.8° will be

80.8 = 86.8 - 0.5x

0.5x = 6

x = 12

The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer: A

Therefore, the answer is A.

Answer:

The side length is approximately 11.3 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

128 = s^2

Take the square root of each side

sqrt(128) = sqrt(s^2)

11.3137085= s

The side length is approximately 11.3 inches

Answer:

11.3

Step-by-step explanation:

Formula for square: x^2 = A

Plug in:

x^2 = 128

√x^2 = √128

  x = 11.3

Hope this helped.

Answer:

1}6 times

Step-by-step explanation:

2}Yes.New York and Mast has the same number of president which is four

3}Yes,this can be done using piechart.

4}I am still working on this question

Answer:

Step-by-step explanation:

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

[tex]\\ \sf\longmapsto 2a^2-2ab-3b^2-9[/tex]

[tex]\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9[/tex]

[tex]\\ \sf\longmapsto 2(9)-12-3(4)-9[/tex]

[tex]\\ \sf\longmapsto 18-12-12-9[/tex]

[tex]\\ \sf\longmapsto 6-18[/tex]

[tex]\\ \sf\longmapsto -12[/tex]

Answer:

3

Step-by-step explanation:

2(3)^2 - 2(3)(2) - 3(2)^2 + 9

2(9) - 12 - 3(4) + 9

18 - 12 - 12 + 9

= 3

Answer from Gauth math

Answer:

Step-by-step explanation:

x^2 - 6x = -156    Next step is:

x^2 - 6x + (-3)^2 = -156 + (-3)^2

Answer:

whats the question

Step-by-step explanation:

for me to help

Answer:

945 m³

Step-by-step explanation:

Space left for storage = Volume of storage unit - volume of the container

Storage unit:

length = l = 15.3 m

Height = h = 10 m

Width = w = 7 m

Volume of storage unit = l * w *h

                                      = 15.3 *7* 10

                                      = 1071  m³

Container:

length = l =4.2 m

Height = h = 10 m

Width = w = 3 m

Volume of container = l * w *h

                                      = 4.2 *3* 10

                                      = 126 m³

Space left = 1071 - 126  = 945 m³

Answer:  1:30 PM

It takes 30 minutes

==========================================================

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

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

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

Answer:

b

basically 5/8 goes to 1/2 0.8 times which is 4/5