3. CONSTRUCTION A rectangular deck is built


around a square pool. The pool has side length s. The


length of the deck is 5 units longer than twice the side


length of the pool. The width of the deck is 3 units


longer than the side length of the pool. What is the


area of the deck in terms of s?





Did I do this right or was I supposed to leave it as a trinomial?

Answers

Answer 1

Answer:

[tex]s^2+11s+15[/tex]

Step-by-step explanation:

Let side length of pool=s

According to question

Length of rectangular deck , l=2s+5

Width of rectangular deck, b=3+s

We have to find the area of deck in terms of s.

We know that

Area of square=[tex](side)^2[/tex]

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of pool=[tex]s^2[/tex]

Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]

Now,

Area of rectangular deck

=[tex](2s+5)(3+s)-s^2[/tex]

[tex]=6s+2s^2+15+5s-s^2[/tex]

=[tex]s^2+11s+15[/tex]


Related Questions

A 1kg book is lifted 2m. How much work was done?

Answers

Answer:

work= force ×distance

force= mass × acceleration due to gravity

mass= 1kg

acceleration=10

Force=1×10=10N

Work=10×2=20joules

The  work done is 20 joule.

What is Work done?

It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object.

Given:

mass, m= 1 Kg

So, force = mg = 1 x 10 = 10 N

and, displacement = 2m

Now, work done= force x displacement

                           = 10 x 2

                           = 20 Joules.

Hence, the work done is 20 joule.

Learn more about work done here:

https://brainly.com/question/13662169

#SPJ2

I’LL GIVE YOU BRAINLIEST IF YOU ANSWER

Simplify the expression shown

-3√6-3√20-√6

And also please show work and explain how you got the answer!!!


Answers

Answer:

-4√6-6√5

Step-by-step explanation:

-3√6-3√20-√6 = (-3√6-√6)-3√20 = -4√6-3√20

√20 = √4*√5 or 2√5

substitute that in and you get -4√6-3(2√5) which then becomes

-4√6-6√5

Here is my worked out solution to your answer. Hope this helps!

Polar bears eat 8.4 pounds of fish a day. Penguins eat about 0.80 of that amount. How many pounds if fish do penguins eat?

Answers

6.72

8.4 * .8 = 6.72

Hope this helps
6.4 pounds, please mark me brainliest if I’m correct

Use Distributive Property to simplify the following expression: 10(m + 5)

Answers

This answer would be 10m+50. To distribute, you would multiply each thing in the parenthesis, by the ten. So 10 times m would be 10m and 10 times a positive 5 would be 50.

What is the interest rate in A = 12,000(1 + 0.07/4)^(4)(4)

Answers


a=(3•107^16)/(40•400^14)

entre 4 grupos de un colegio recolectaron 200kg de papel para reciclarlo.el primer grupo recogio 60 1/4 kg el segundo 13 1/5 y el tercero 45,93 kg cuanto recogio el cuarto grupo? ​

Answers

Answer:

segun yo es asi no confies mucho en mi

Step-by-step explanation:

200 kg total de papel

primer grupo= 60kg

segundo= 13kg

tercero= 45.93

cuarto= x

si sumamos el total recolectado por los tres primero grupos

60+13+45.93

esto nos da

118.93

si en total se recgio 200kg de basura y tenemos que los tres primeros grupos recogieron 118.93, entonces solo queda restar el total menos lo recolectado

200-188.93= cuarto grupo

cuarto grupo=81.07kg

Roberto earns $6.50 per hour. He worked 32 hours at the regular rate, 8 hours at a time and a half, and 8 at double time. How much did he earn?

Answers

Answer $390

Step-by-step explanation:

Answer:

$390

Step-by-step explanation:

First Roberto works 32 hours at 6.50 per hour. At that time, he earn 32*6.5 = $208. Then he works 8 hours at a time and a half. This means that his pay rate is 50% more, or 6.5*1.5 = $9.75 per hour. Since he worked 8 hours at this pay rate, he earns 8*9.75 = $78. And then he works 8 hours double time. This means his pay rate was doubled during that duration. 6.5*2 = 13, 13*8 = $104.

Total: 208 + 78 + 104 = $390

Find the missing angle measurement in the triangle.

Answers

Answer:

the answer is C

Step-by-step explanation:

the right angle is = 90

the other angle= 55

so you add them together which makes 145

so subtract 180 which is = to a triangle subtract 180-145=35

Answer: C.)

Step-by-step explanation:

Triangle angles add up to 180 degrees.

The box is a right angle which equals 90 degrees.

55 degrees + 90 degrees = 145 degrees, but we need the sum to be 180, so we subtract 145 from 180 and you should get the answer of "35".

PLZZZZZ HELP ME!
It’s math btw

Answers

Answer:

1. 9/10

2. 15/16

4. 3/5

5. 3/5

Step-by-step explanation:

1. 7/10 + 2/10 = 9/10

2. 13/16 + 2/16 = 15/16

4. 7/15 + 2/15 = 9/15 = 3/5

5. 9/20 + 3/20 = 12/20 = 3/5

Answer: 1 r1 for second

Step-by-step explanation: 13/16+2/16=15/16 divide 15/16 gets 1 r1

randy needs to save 2550$ for a vacation. he has 6 months to save the money. how much money must he save each month?

Answers

Answer:

425

Step-by-step explanation:

2550/6=425

Answer:

425

Step-by-step explanation:

Help me please answer thanks

Answers

So what you want to do first is get this and get that to get this
Value of y = 6

y = 2x

y = 2(3)

y = 6

Factor ab + bc+ b² + ac.

A. (a + b)(b + c)

B. (a + c)(b + c)

C. b(a + b)(b + c)​

Answers

Answer:

A. (a + b)(b + c)

Step-by-step explanation:

b( a + b ) + bc + ac

b( a + b ) + c ( b + a )

= (a + b)(b + c)

hope it helps!

Answer:

A

Step-by-step explanation:

a(b+c)+bc+bb

a(b+c)+b(c+b)

(b+c)(a+b)

PLS, HELP is it A. B. C. D.

Answers

Answer:

May be c but I am not sure dear.

Bryan has $15 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. How many mile can Bryan go without spending all $15

Answers

Answer:

3 miles.

Step-by-step explanation:

He has to pay 5 just to ride, and 2.50 per mile.

2.50(x)+5=15

2.50(4)+5=15

10+5=15

So he can riide 3 miles without spending all his money.

If m+6 divided by 2 is 4 less than 4m. What is the value of m?

Answers

Answer:

Ok

Step-by-step explanation:

m = 2

(m+6)/2 = 4m-4
multiply each side by 2
m+6 = 8m-8
subtract m from both sides
6 = 7m-8
add 8 on both sides
14 = 7m
divide both sides by 7
2 = m

What are the zeros of f(x) = x2 - x - 30?
O A. x = 10 and x = -3
O B. x = 6 and x = -5
O C. x= -10 and x = 3
O D. x= -6 and x = 5

Answers

Answer:

B

Step-by-step explanation:

the x intercepts of this graph are -5 and 6

3 1183 long division​

Answers

= 394 R 1

= 394 1/3

1183 divided by 3 equals
394 with a remainder of 1

please simplfy 7x + 6 + 3x – 2 – 5x

Answers

Answer:

5x+4

Step-by-step explanation:

Answer:

5x + 4

Step-by-step explanation:

7 + 3 - 5 = 10 - 5 = 5x

6 - 2 = 4

5x + 4

Help please! Thank youuuuuuuuu

Answers

Answer:

3 3/5 meters (B)

Step-by-step explanation:

Since this is perimeter, you must find the "outside".

The top side: 1/4 * 4 = 1

Left side: 1/5 * 4 = 4/5

Bottom: 1

Right side: 4/5

Add them up!

1 + 1 + 4/5 + 4/5

2 8/5

3 3/5

B!

HELP!!!! 100 POINTS FOR THESE QUESTIONS. CHECK PHOTO FOR QUESTIONS. GEOMETRY

1.How many inches are in a foot

2.The space between the finger and the thumb is 3 1/2 inches, convert this measurement to feet

3. The hand in the image is 15 inches in front of the camera. Convert this measurement to feet.

4. Write the ratio of distance from the camera to the hand to the space between the fingers. Use the measurements that were calculated in feet

5. According to Wikipedia, the tower that houses Big Ben is 315 feet in height. Write a ratio of the distance from the camera to the base of the tower to the height of the tower. *hint – introduce a variable on this step*

6. Setup a proportion to find the distance from the camera to the base of the tower

7. Solve the proportion from number 6.

Answers

Answer:

1=12 inches

2=42 inches

3= 315 feet

4= it looks like he’s less than 1/4th of a mile away from big ben

5=?

6=?

Step-by-step explanation:

thats all i could help with

Use the original price and the markup to find the retail price.

Original price $68; Markup 15%

The retail price is $________?​
how I did it 68 x .15= 45.33333 rounded = 4.53
68 + 4.53 = 72.5 then I added a 0, 72.50
is 72.50 the answer?

Answers

Answer:

15% of $68 is $10.2

$68 + $10.2 = $78.2

The retail price is $78.20

Which postulate proves the two
triangles are congruent
A. SAS
B. ASA
C. SSS
D. HL

Answers

the answer is C, SSS :))

Answer:

SSS

Step-by-step explanation:

What is the equation of this trend line? Enter answers by filling in the box

Answers

Answer:

N= 110 M+ 55?

I'm just trying my best to help you

(100 POINTS!!!) PLEASE HELP ME!!! FIRST TO ANSWER WILL GET BRAINLIEST! 14:40 LEFT!

Answers

Answer:

the third one

Step-by-step explanation:

Answer:

that would be c

Step-by-step explanation:

Find the slope of line

Answers

Answer:

Negative

General Formulas and Concepts:

Algebra I

Reading a Cartesian plane

Step-by-step explanation:

We see that every time our x-value increases, our y-value decreases. Therefore, we know we would have a negative slope.

10x-3(2x+8) simplify and please step by step

Answers

Answer:4x−24

Step-by-step explanation:

10x−3(2x+8)

10x-(3*2x+3*8)

10x-(6x+24)

10x-6x-24

4x-24

Answer:

4x-24

Step-by-step explanation:

10x-3(2x+8)

step 1 distribute -3 to what's inside of the parenthesis

-3*2x=-6x and -3*8=24

so now we have 10x-6x-24

the last step is to combine like terms 10x+-6x=4x

4x-24

Is 299 in the sequence of 2 5 8 11 14 with 3n-1 as the term

Answers

Answer:

yes

Step-by-step explanation:

Equate

3n - 1 = 299 ( add 1 to both sides )

3n = 300 ( divide both sides by 3 )

n = 100

Then 299 is the 100 th term of the sequence

can you please help me with this problem ​

Answers

PASS IS INTERCEPTED AT THE GOAL LINE BY MALCOLM BUTLER

What is the value of the expression 11 - (34.48?
1) 3
O2) 5
O 3) 8
4) 9

Answers

Answer:

-23.48

Step-by-step explanation:

Hoped this helped!!

y=x+11
-4x+2y=22
(select the correct answer for the solution to the following system of equations)
A: (0,11)
B: (-2,5)
C: infinite solutions
D: no solution

Answers

the answer is

A.(0,11)

hope that helped

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