The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

a^2 + b^2 = c^2

Let c = hypotenuse = 2x

One of the legs = x. Let a or b = x.

I will let a = x. We can then say that b = 3.

3^2 + x^2 = (2x)^2

9 + x^2 = 4x^2

9 = 4x^2 - x^2

9 = 2x^2

9/2 = x^2

sqrt{9/2} = sqrt{x^2}

3/sqrt{2} = x

Rational denominator.

[3•sqrt{2}]/2 = x = a

Side 3 is given to be 3 feet. So, b = 3.

Hypotenuse = 2x

Hypotenuse = 2([3•sqrt{2}]/2)

Hypotenuse = 3•sqrt{2}

Understand?

The three sides are 3, [3•sqrt{2}]/2 and

3•sqrt{2}.

Answer:in what can I help

Step-by-step explanation:

Answer:

0.70L

Step-by-step explanation:

3m=2b

convert 8 b to mugs

therefore 8b=12m

12m+10m=22m

15.4/22=0.700l

Answer:

40.5

Step-by-step explanation:

what i do is I divided first by 10. because 100 is 10x10.

so 4050 divided by 10 is 405.

405 divided by 10 is 40.5

4050 divided by 100 = 40.5

9514 1404 393

Answer:

  (x +8)^2 +(y +1)^2 = 16

Step-by-step explanation:

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 + (y -k)^2 = r^2

For your center and radius, the equation is ...

  (x -(-8))^2 +(y -(-1))^2 = 4^2

  (x +8)^2 +(y +1)^2 = 16

Answer:

I dont know but i just need these points

Answer:

d

Step-by-step explanation:

Answer:

Cos 2theta = -3/5

Step-by-step explanation:

Given that;

tan theta = -2

tan theta = -2/1 = opp/adj

hyp^2 = (-2)^2+1^2

hyp = √4+1

hyp = √5

sin theta = opp/hyp

sin theta = -2/√5

Cos theta = adj/hyp

Cos theta = -2/√5

Cos 2theta = 1-2sin^2 theta

Cos 2theta = 1- 2(-2/√5)^2

Cos 2theta = 1- 2(4/5)

Cos 2theta = 1- 8/5

Cos 2theta = (5-8)/5

Cos 2theta = -3/5

Answer:

4 gallons/1 day

Step-by-step explanation:

What is a rate? A rate is writing a ratio in fraction form. A ratio is the proportion of two things. (ex: for every 1 dog, there are two cats.)

Creating the ratio: For the ratio, there is no given amount of which one needs  to come first, but because it is about the milk, I put that first. In the problem it says 12 gallons for 3 days so: 12/3

Simplifying: To simplify, think of the largest factor between the two numbers. If you can't immediately, think of one factor in common and keep simplifying. In this case, 4 is the greatest common factor between these. To simplify, divide both sides by four, and that is your answer: 4: 1

Answer:

18 Liters of water

Answer:

224 in.²

Step-by-step explanation:

The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.

Lateral surface area of a triangular prism = Perimeter of base × height of prism

Perimeter of base = 5 + 6 + 5 = 16 in.

Height of prism = 14 in.

Plug in the values

Lateral Surface Area = 16 × 14 = 224 in.²

Answer:

a)  0 , 1

b) 0.56 , 0.06

Step-by-step explanation:

X = 0.2

Y = 0.3

Find the distribution of X + Y

a) All the possible values of  X + Y

The possible values of X + Y  are ; 0,1

b) The probabilities that X + Y takes each of the values

P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56

P( X +Y = 1) = 0.2*0.3 = 0.06

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

Answer:

x-inter = (-40,0), y-inter= (0,15)

Step-by-step explanation:

the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.

Answer:

x < 9 ; x > 15

Step-by-step explanation:

| x - 12 | > 3

x - 12 > 3

x > 12 + 3

x > 15

-x + 12 > 3

-x > 3 - 12

-x > -9

x < 9

Combined:

x < 9 ; x > 15

Answer:

B.

Step-by-step explanation:

Its meh best guess

Answer:

B.

Step-by-step explanation:

I think it is B

Answer:

I attached the answers :)

Step-by-step explanation:

hope this helps :)

(Its a bit messy becuz i used a mouse to write, sry about that)

Answer:

z = -11, z = -2

Step-by-step explanation:

Given that, ([tex]f(z)=\sqrt{z+27} -z[/tex]) and ([tex]f(z)=7[/tex]), set up an equation that puts the first value of ([tex]f(z)[/tex]) equal to the other given value of the function.

[tex]f(z)=\sqrt{z+27}-z=7[/tex]

Use inverse operations to solve,

[tex]\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22[/tex]

Factor,

[tex]0=(z+11)(z+2)[/tex]

Solve using the zero product property, the zero product property states that any number times zero equals zero;

[tex]z=-11,z=-2[/tex]

Answer:

Then solve the rest using the quadratic formula

Answer:

hope this help you

have a nice day/night

Answer:

217=31m; m=7, 7 miles per day

Step-by-step explanation:

217/31=m 217=31m, just divide the total number of miles by the number of days

Answer:

The correct answer is:

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

⇒ Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

Answer:

let one angle be X

so, other angle be 5x-12

ATQ

X+5x-12=180

6x=180-12

6x=168

X=168/6

hence X=28

now,one angle=28

other angle is 5×28-12

= 140-12.

= 128

Answer:

[tex]6\sqrt2\\OR\\8.48528137[/tex]

Step-by-step explanation:

The area of a sector of a circle is found by:

[tex]A = \frac{\theta*r^2}{2}[/tex]

The question asks for the radius so the equation above can be repurposed

[tex]r = \sqrt\frac{2A}{\theta}[/tex]

A = 3pi

angle = pi/12

[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]

[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]

Answer:

y  ≤  5

Step-by-step explanation:

too lazy to explain :/