The McDonald's Play Place is going to increase its ball pit size to allow for more fun! The ball pit was originally 10 feet by 12 feet. They have decided to increase each side by the same amount. Express the area of the new pit as a polynomial in simplest form.

Answers

Answer 1

Answer:

A = x² + 22x + 120

Step-by-step explanation:

Since the ball pit was originally 10 feet by 12 feet and each side is increased by the same amount which we would call x, the new length of sides are thus 10 + x and 12 + x respectively.

The area of the new pit is thus A = (10 + x)(12 + x), since it is a rectangle.

Expanding the brackets, we have

A = 10 × 12 + 10x + 12x + x²

collecting like terms, we have

A = 120 + 22x + x²

A = x² + 22x + 120


Related Questions

Find the measure of ∠C. b=110 d=30 m∠C= °

Answers

Answer:

40°

Step-by-step explanation:

If your are reffering to a triangle the answer would be 40 since the three angles of a triangle must always add up to 180° so you would add b+d (110+30) resulting in 140 which you would then subtract from 180 getting you 40°

M∠QPS=88 ∘ m, angle, Q, P, S, equals, 88, degrees \qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘ m, angle, R, P, S, equals, 5, x, plus, 34, degrees \qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘

Answers

The correct question is:

[tex]\angle QPS=88[/tex]  

[tex]\angle RPS=5x+34[/tex]

[tex]\angle QPR=8x+15[/tex].

Find ∠QPR.

Answer:

[tex]\angle QPR = 39[/tex]

Step-by-step explanation:

From the attached figure:

[tex]QPS = QPR + RPS[/tex]

This gives:

[tex]88 = 8x + 15 + 5x + 34[/tex]

Collect like terms

[tex]88 - 15 - 34 = 8x + 5x[/tex]

[tex]39 = 13x[/tex]

Divide both sides by 13

[tex]3 = x[/tex]

[tex]x =3[/tex]

Substitute [tex]x =3[/tex] in [tex]\angle QPR=8x+15[/tex]  

[tex]\angle QPR = 8 * 3 + 15[/tex]

[tex]\angle QPR = 24 + 15[/tex]

[tex]\angle QPR = 39[/tex]

Answer:

The right answer is 49, I did it on khan academy

Step-by-step explanation:

10. The parallelogram below represents a
section of grass at a miniature golf course.
What is the area of the section of grass?
12 ft

Answers

Answer:

theres no numbers?

Step-by-step explanation:


Find the sum.
(- 8x – 12) + (9x + 4)

Answers

Answer:

x-8

......................

Step-by-step explanation:

-8x-12+9x+4

-8x+9x-12+4

x-8

x-8=0

x=8

Solve this question :​

Answers

9514 1404 393

Explanation:

For proofs of this nature, it often works well to replace everything possible with appropriate equivalents. Here, we'll use sin² to represent sin²(A), and equivalent notation for other trig functions.

We will change the left side to the form of the right side.

  [tex]\displaystyle \frac{\tan^2-\cot^2}{1+\cot^2}=\frac{\sin^2-\cos^2}{\cos^2}\\\\=\frac{(\sec^2-1)-(\csc^2-1)}{\csc^2}\\\\=(\sin^2)(\sec^2-\csc^2)\\\\=\frac{\sin^2}{\cos^2}-1=\frac{\sin^2-\cos^2}{\cos^2}\qquad\text{Q.E.D.}[/tex]

__

The equivalents (identities) used are ...

  1+tan² = sec²

  1+cot² = csc²

  1/csc = sin

  sec = 1/cos

Give me 10 reasons why penguins are cute will give Brian list and 50 points

Answers

Answer:

becuz their colour is black and white. b and w is so cute

HELPPP PLSSSS!!!! ^^ picture above

Answers

Do not look up the link from the answer above me.

10000000000-188888 10 points

Answers

Answer:

I think the calculation answer will be 9,999,811,112

I don't get what to do with this!

Answers

Answer:

76+76=152

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{655 \times 655} [/tex]

Answers

Answer:

[tex]\sqrt{655*655} =655[/tex]

Step-by-step explanation:

655*655 is pretty much equal to 655²

the square root of a number to the power of 2 is equal to the number without the power

so √655² would be equal to 655

Answer:

[tex]655[/tex]

Step-by-step explanation:

[tex] \sqrt{655 \times 655} \\ = 655[/tex]

if the radius of a circle is r cm, what is the measure of its circumference? write​

Answers

2(pi)(r). This is just the formula for the circumference of a circle.

HURRY PLEASE HELP Caitlin wants to collect toys to donate to a local shelter. Her goal is to collect at least 300 toys. On Monday she collects 40 toys. On Tuesday she collects twice as many as on Monday. On Wednesday she collects three times as many as Monday. Which inequality represents the total number of toys Caitlin must collect on Thursday, x, to reach or exceed her goal of 300 toys?

Answers

Answer:

300 ≥ 40 + 80 + 120 + x

x ≥ 60

Step-by-step explanation:

Monday = 40 toys

Tuesday = 2(40) = 80 toys

Wednesday = 3(40) = 120 toys

Thursday = x toys

At least means ≥

300 ≥ 40 + 80 + 120 + x

300 ≥ 240 + x

300 - 240 ≥ x

60 ≥ x

x ≥ 60

If ACD~ABE find the value of x

Answers

Step-by-step explanation:

I think it is a good day and the answer is 3

El reloj de Nuestra Basílica de Chiquinquirá señala cada hora con igual número de campanadas. Para indicar las 6 a.M. Tocó 6 veces la campana y demoró 15 segundos. ¿Cuántos segundos empleará para indicar las 8 a.M.?

Answers

Answer:

El reloj de Nuestra Basílica de Chiquinquirá empleará 20 segundos para indicar las 8 a.m.

Step-by-step explanation:

De acuerdo a la información proporcionada, sabes que el reloj de Nuestra Basílica de Chiquinquirá señala cada hora con igual número de campanadas, por lo que a las 8 a.m. tocará 8 campanadas y puedes usar una regla de tres para encontrar cuantos segundos empleará en hacerlo dado que conoces que las 6 campanadas se demoran 15 segundos:

6 campanadas → 15 segundos

8 campanadas →         x

x=(8*15)/6

x= 20

De acuerdo a esto, la respuesta es que el reloj de Nuestra Basílica de Chiquinquirá empleará 20 segundos para indicar las 8 a.m.

Horace measured a circular lid and found d, the diameter, was 8 inches and C, the circumference, was 25 inches.

Answers

Answer:

A/C ≅ 2

Step-by-step explanation:

diameter of circle d = 8 in

Circumference of the circle C= 25 in

Let us assume we have to find the area of the circular lid  A = [tex]\frac{\pi}{4}d^2[/tex]

⇒ A= [tex]\frac{\pi}{4}\times8^2= 50.24 in^2[/tex]

Therefore ratio of area to circumference A/C = 50.24/25 = 2.0096≅2

A bag contains 10 colored marbles - 4 red, 4 blue and 2 green. Calculate the probability of removing 2 green marbles in a row if you do not replace the marble each time.

Answers

Answer:

I think it would be a 20 percent

Step-by-step explanation:

because the 4 red is 40% the blue is another 40% then the green is only 20 I could be wrong though hope this helped

WILL GIVE BRAINLIEST!
Two angles of a triangle measure 44° and 94°. Find the measure of the third angle.
°

Answers

Answer: 42 degrees

Step-by-step explanation: sum of angles in triangle is 180 degrees.

So third angle is 180-44-94= 42

Answer: 42°

Steps:

44° + 94° + x = 180°

138° + x = 180°

x = 180° - 138°

x = 42°

Check:

44° + 94° + 42° = 180°

180° = 180° ✅

Would appreciate brainliest if the answer was helpful, correct and had clear steps! :)

A system has an infinite number of solutions. one equation is 3x-3y=8. Which could be the other equation in the system of equations?

Answers

Answer:

[tex]6x-6y-16=0[/tex]

Step-by-step explanation:

Consider the following system of equations:

[tex]a_1x+b_1y+c_1=0\\\\a_2x+b_2y+c_2=0[/tex]

The system of equations has infinite solutions if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]

One equation is [tex]3x-3y=8[/tex]

[tex]3x-3y-8=0[/tex]

Take another equation as [tex]6x-6y-16=0[/tex]

So, the two equations are [tex]3x-3y-8=0[/tex] and [tex]6x-6y-16=0[/tex]

[tex]a_1=3,b_1=-3,c_1=-8,a_2=6,b_2=-6,c_2=-16[/tex]

[tex]\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}\\ \frac{b_1}{b_2}=\frac{-3}{-6}=\frac{1}{2}\\ \frac{c_1}{c_2}=\frac{-8}{-16}=\frac{1}{2}[/tex]

So,

[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]

Therefore, another equation can be [tex]6x-6y-16=0[/tex]

Find the indicated angle measure.
Find mZFEH
F
G
35
40°
H
E

Answers

Answer:

E

Step-by-step explanation:

a farmer has sheep and hen .the sheep and hen together have 100heads and 356 legs .how many sheep and hens does the farmer have?​

Answers

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

 x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

        200  + 2y = 356          {Subtract 200 from both sides}

                   2y = 356 - 200

                  2y = 156       {Divide both sides by 2}

                    y = 156/2

                  y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

       x = 100 - 78

       x = 22

22 hens and 78 sheep

Mrs. Kemp began school year with 20 students in her kindergarten class, She had 23 students at the end of the year. What was the percent of increase in the number of students from the beginning of the year to the end of the year?

Answers

Answer:

15%

Step-by-step explanation:

Since 23 is 115% of 20, we can therefore know that it's 15% increase from 20.

What is the relationship between ∠FBE and ∠CBD?

Answers

Answer:

They are both 47 degrees

A circular garden has a diameter of 10 yards. What is the area of
the garden? Use 3.14 for iz


HELPPP?? ASAPP???

Answers

Answer:

Step-by-step explanation:

you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5

please help i’ll give brainliest if you help thanks

Answers

Answer:

5

Step-by-step explanation:

as the 2nd term is b, and the coeffiecnt is the number next to the term

Find the inverse of the given function.
y = log2(4x)

Answers

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

https://brainly.com/question/28361556

#SPJ2

the equation of a circle is x2 + y2 - 12x + 6y + 20 = 0.
what is the radius of the circle? enter your answer in the box. r = ___ units​

Answers

Answer:

Center (6, -3)

Radius 5

Can someone help me answer this?

Answers

Answer: i believe it’s 12ft

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

ok, so, since the angles in a traingle all sum up to 180°, that would make:

36°+61°+(4x-17)°=180°

We simplify it:

95°+(4x-17)°=180°

Then, we subtract 95° on both sides:

95°+(4x-17)°=180°

-95°               -95°

Then we get:

4x-17°=85

We add 17° on both sides

4x-17°=85

   +17°  +17°

And we get:

4x=102°

Divide 4 on both sides...

4x=102°

➗4 ➗4

Therefor:

X=25.5

Hope this helps, but tell me if i'm wrong, and have a good day!

Please help! would appreciate it​

Answers

Answer:

Step-by-step explanation:

here is what I got but I hope it helps :)

If someone can help pls need soon

Answers

Answer:

Step-by-step explanation:

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