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

can anybody help pls

Answers

Answer:

2t

Step-by-step explanation:

The expressions are not the same because different terms are negative. We can visualize the difference by rewriting the expressions as 13t + (-2t) and (-13t) + 2t. In the first expression, 13t-2t, the 2t is negative because it is being subtracted, and subtracting a number is the same as adding a negative.

The answer is 2t ^^ hope this helps

HELP PLEASE!

The initial population of Rochester is 17,500 and is
projected to grow at a rate of 4.5% perdecade.
Write an expression for the projected population
of Rochester after “n” decades.

Answers

Answer:

Step-by-step explanation:

I still...really don't know

CAN YALL HELP!!!!!!!!!!!!! 8TH GRADE

Answers

Answer:

C

The others are irrational numbers. C can be a rational number.

Lucy wasn't allowed to have any pets so she collected stuffed animals instead. She had 36 animals total. 3/12 of them were bears and 4/6 of them were dogs. What fraction of the animals were either dogs or bears?

Answers

You can increase fractions and they will tell you also
3/12 times 3=9/36 bears
4/6 times 6= 24/36dogs
So 33 of the animals were dogs or bears
But to simply add the fractions make the denominator the same by timesing the 4/6 by 2
So 3/12 plus 8/12 is
11/12
So 11/12 is your answer.
Hope this helps good luck brainliest would be appreciated

What is the slope of the line

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When finding the slope, pick two points on the linear line.

( -1.5, -1)  (0.5, 0)    

-1.5 is x1

-1 is y1

0.5 is x2

0 is y2

Place these numbers in a slop formula.

m = [tex]\frac{0 - (-1)}{0.5 - (-1.5)}[/tex] = [tex]\frac{1}{2}[/tex]

(m means slope)

Slope = [tex]\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

Ribbon costs $1.25 per meter. What would be the cost of 250 centimeters rounded to the nearest cent? HINT:
centimeters to meters before calculating the price

Answers

Answer:

The answer should be $3.125 or $3.13 rounded.

Step-by-step explanation:

First I divided 1.25 by 100 because 1 meter equals 100 centimeters.

1.25 ÷ 100 = 0.0125

Now that we know that it costs 0.0125 for 1 centimeter we multiply it by 250.

0.0125 * 250 = 3.125

Since it says to round to the nearest cent, the answer should be 3.13

Hope this helps! :)

The length of what line segment would be multiplied by pi to find the circumference of Circle P?

Answers

9514 1404 393

Answer:

  QS

Step-by-step explanation:

The circumference is pi times the diameter. The only segment shown that is a diameter is QS.

The six sided of number cube are labeled 1,2,3,4,5 and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on heads and roll a number greater than 2?​

Answers

heads = 1/2

>2 = 2/3

2/3 x 1/2 = 1/3

Answer:

1 / 3

Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.

Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Answers

Step-by-step explanation:

25m + 10b = 400

not enough info to solve for m or b. but that's the equation you would use.

1/4 of the soda was left. If you wanted to split the soda equally to 5 people, how much soda will each person get?

Answers

Answer:

1/20 of the soda

pls help. 6th grade math.

Answers

Answer:

Note: If this is really sixth grade math, then im a cucumber. It's way easier than MY math, and I'm in 6th grade lol :P

Another Note: Please vote me "Brainliest", I put a lot of work into this :)

1. 40

2. 60

3. 1.35

4. 6

5. Do this yourself, it requires actually explaining and you have to use your own words. :)

6. Do this yourself, it requires actually explaining and you have to use your own words. :)

7. Do this yourself, it requires actually explaining and you have to use your own words. :)

8. 600 people

9. 4200 people

10. 149 people

11. Sahil came up with his answer so quickly because if 45 is 10% of x, then obviously 30% of x would be 45 times 3 and that is 135. Due to this, he quickly new that the number of people between the ages of 30 and 49 that voted is 135 people.

That's it, please heart my answer and vote me brainliest :)

Step-by-step explanation:

Do you really need this part? I didn't do it because it would take forever LOL

помогите пж а то мне купец я не могу решить умоляю вас​

Answers

Answer:

hshsjakaihshsksishshsjsiaiqoajsbsiwkajsvjsksjshshs

A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.

How many days, x, will it take the kitten to double its weight? Write and solve the equation.

Answers

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

Alvin is 15 years older than Elga. The sum of their ages is 77. What is Elga's age?

Answers

Answer: I think that it is  62

Step-by-step explanation:

77 minus 15= 62

tell me if its right.

hope this helps

On Friday you biked 6.4 miles on Saturday you biked 9.8 miles how many miles have you biked altogether

Answers

Answer:

16.2 miles

Step-by-step explanation:

just add 6.4 and 9.8 you will get 16.2 miles

Find the value of x.
2x
fi
80
27
60
x = [?]
Enter

Answers

the answer is x=18

hope that helped^^

What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income

Answers

Answer:

multiply 63280 by 1.5% (.015).  The answer is $949.20

Step-by-step explanation:

Rachel found 2 quarts on the floor.what decimal represents the 2 quarters

Answers

2 quarters = .50 or 0.50

4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)

(This is Trigonometry)

Answers

tan25°=a/87, a (lower half of tower) = 36.0366.
tan40°=x/87, x = 63.209.
subtract 63.209-36.0366=27.1724~27 ft.

The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?

Answers

Answer:

3 1/2 slices each

Step-by-step explanation:

98/28=3.5

Answer:

Every student will get 3 to 4 slices of pizza

Step-by-step explanation:

This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.

Hope this helped

What angle is the picture classified as?

Answers

Answer:

I think it's non of these.

Alternate Exterior Angles

100 POINTS IF YOU HELP MEE !! AND ILL GIVE BRAINLISTT !! Complete each statement with the number used to create an equivalent fraction. Multiply to by in both the numerator and denominator to get Multiply { by in both the numerator and denominator to get 16 Multiply by in both the numerator and denominator to get 24 Multiply 1 by in both the numerator and denominator to get 16

Answers

Answer:

Step-by-step explanation:

8/8     5/5

if the ratio of the length to perimeter is 5:16 what is the area of the rectangle

Answers

The area is 15
Multiply the length by 2
5(2)
Subtract the length from the perimeter
16-10
Divide the remainder by 2 to find the width
6/2
The width is 3
Length times width equals area
3(5)=15

mean median mode and range,4,8,6,4,4,1,1

Answers

mean: 4 [(4+8+6+4+4+1+1)/7]

median: 4 [1 1 4 4 4 6 8 the number in the middle is 4

mode: 4 [ there are 3 fours which is the most out of all the numbers]

range: 7 [8-1=7]

Portland, OR is 180 miles away from Seattle, WA. If it takes a driver 3 hours to drive from Portland to Seattle, what is the driver's average rate of speed? ill mark brainliest please help this is my final grade

Answers

Answer:

60km/h

Step-by-step explanation:

The average rate of speed is total distance divided by total time. Therefore 180miles / 3 hours is 60mph.

Please help!!! If you can

Answers

Answer:

Im guessing its B. Im sorry of this didnt help.

Step-by-step explanation:

[tex]y = 12000 {(1.04)}^{30}[/tex]

Merton's population = 38920.77012

//

18000 + 30(500) = 33000

Hapville's population = 33000

//

38920.77012 - 33000 = 5920.77012

5920.77012 ---> 6000

The answer is B.

1, 3, 9, 27, ... What's the pattern rule and the next three numbers?​

Answers

Answer:

multiply by three

Step-by-step explanation:

Step-by-step explanation:

1 x 3 = 3 x 3 = 9 x 3 = 27

=> Pattern rule = [tex]3^{n-1}[/tex]

=> The next three numbers = 81 , 243 , 729

Which set of ordered pairs does not represent a function?
O {(0,6), (5,-4), (3, -4), (8,-6)}
O {(6,-1), (-6, -1),(-2,-8),(-4,9)}
O {(-3, -3), (4,1),(-3,3), (2, 2)}
O {(1,-4), (5, -7), (-3,-6), (-2,-4)}

Answers

the third one (-3,-3) (4,1) (-3,3) (2,2)

x and y are angles on a line l forming linear pairs . if twice of x is 30 degree less than y . Find x and y .

Answers

Answer:

hope it helped have a good day mate

What is the area of a square with side lengths of 3/5 units? Please explain how you know.

Answers

9/25

When trying to an area of a square, you multiply one side by another side to get the answer (length x width).

3/5 x 3/5 = 9/25

Numerator x numerator.
Denominator x denominator.
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