The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)​

Answers

Answer 1

Answer:

The walkway around the pool makes the entire outer dimensions (outer border)  

x+9+2x3=x+15  and  x+8+2x3

hope this helps!  could i get brainliest plz?

Answer 2

The expressions to represent the dimensions of the outside border of the walkway is  (x + 12) meters for the length and (x + 11) meters for the width.

Given area : [tex]x^2 + 17x + 72[/tex]

The factored form of the polynomial is:

[tex]x^2 + 17x + 72[/tex]  = [tex]x^2 + 8x+9x+72[/tex]

                      = x(x+8)+9(x + 8)

                          =(x + 9)(x + 8)

So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.

The length of the walkway = 3 meters wide

So, the length is added to each side of the pool.

Dimensions of the outside border of the walkway:

Length: (x + 9) + 3 = x + 12 meters

Width: (x + 8) + 3 = x + 11 meters

Therefore, the dimensions of the outside border of the walkway are

(x + 12) meters for the length and (x + 11) meters for the width.

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Related Questions

At Clovis’s Hat Store, 30% of the hats are baseball caps. There are 60 baseball caps.
How many total hats are there? plzz help

Answers

Answer: 18

Step-by-step explanation:  to find 30% of 60 you have to convert 30% to a decimal 0.30 then multiply 0.30 by 60. if you solve correctly you should get 18.

Find the value of x. Show your work.

Answers

Answer:

54=x

Step-by-step explanation:

90=43+(x-7)

47=x-7

54=x

symbolab is great for math equations btw

URGENT, PLEASE ANSWERR If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function ℎ()=−162+100+5 to calculate how far the potato will be from the ground at any given second (t). What does the h(0) represent in the context of the problem?

Answers

Given:

Consider the function is:

[tex]h(t)=-16t^2+100t+5[/tex]

This function is used to calculate how far the potato will be from the ground at any given second (t).

To find:

The value of h(0) and its meaning in the context of the problem.

Solution:

We have,

[tex]h(t)=-16t^2+100t+5[/tex]

At t=0,

[tex]h(0)=-16(0)^2+100(0)+5[/tex]

[tex]h(0)=0+0+5[/tex]

[tex]h(0)=5[/tex]

Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.

A tablecloth is 82 inches long. What is the length in feet and inches?

Answers

Answer: 6 feet and 10 inches

Step-by-step explanation:

Each foot has 12 inches in it

You can either divide 82 by 12 or

1 foot: 12 inches

2 foot: 24 inches

3 foot: 36 inches

4 foot: 48 inches

5 foot: 60 inches

6 foot: 72 inches

7 foot: 84 inches

Since 7 foot is too much you can now take 6 feet (72 inches) and subtract it from 82

82-72=10

10 meaning 10 inches

6 feet and 10 inches

You may also divide but you will get a decimal like this:

6.83333333

Unit conversion is a way of converting some common units into another without changing their real value. The length of the table cloth is 6 ft 10 inches.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

In terms of measurement, one foot is 12 inches.

1 ft = 12 inches

Given that the table cloth is 82 inches long. Therefore, the length in feet and inches are,

Length = 82 inches

            = 82 / 12 foot

            = 6 10/12 foot

            = 6 ft 10 inches

Hence, the length of the table cloth is 6 ft 10 inches.

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A construction worker drops a hammer from 25m. How long will it take for the hammer to hit the ground? H(t)= -4.9t^2 +v +h

Answers

Answer:

the time taken for the hammer to hit the ground is 2.26 s.

Step-by-step explanation:

Given;

height through which the hammer falls, h = 25 m

The time taken for the hammer to hit the ground is calculated as;

[tex]h(t) = ut + \frac{1}{2} gt^2\\\\h(t) = 0 + \frac{1}{2} (9.8)t^2\\\\h(t) = 4.9t^2\\\\t = \sqrt{\frac{h(t)}{4.9} } \\\\t = \sqrt{\frac{25}{4.9} } \\\\t = 2.26 \ s[/tex]

Therefore, the time taken for the hammer to hit the ground is 2.26 s.

Solve the system of equations 5x – 2y = 19 and -x + y = 1 by combining the
equations.

Answers

Answer:

Step-by-step explanation:

5x - 2y = 19

-5x + 5y = 5

3y = 24

y = 8

-x + 8 = 1

-x = -7

x = 7

(7, 9)

HURRY PLEASE Find the values of a and b that make the second
expression equivalent to the first expression.
Assume that x>0 and y> 0.

126xy5
32x3

63Y5
axb

a =
b =
DONE

Answers

Answer:

A= 16 B= 2

The second part is B

30% of what number is 7.5?

Answers

Answer should be 2.25


In the following figure, the value of xs is
20
35

Answers

Where's the figure?

Sidhdi

Where’s the figure? You have to take a picture or write it down so people can solve it

help pls will get brainlest

Answers

Step-by-step explanation:

the answer to your question is

a

Answer:

54 inches squared.

Step-by-step explanation:

(6*3) + (6*3) + (3*3) + (3*3). The areas of the faces added together. It is basically the perimeter of a 3D shape, except instead of measuring 2D sides, it is 3D shaped faces.

Jeremy and his classmates conduct an experiment with a set of weights and a spring. They record their results in the table.
Use the table to answer Items 21-24.
2
Student
Mass (lb)
Spring Stretch (in.)
Jeremy
5
7.5
Adele
I
12
Roberto
14
21
Shanice
21
36
Guillaume
28
42
21. Make a graph of the data.

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

hii please help i’ll give brainliest!!

Answers

Answer:

very top

Step-by-step explanation:

i had a test on it a week ago

pls give brinliest

first one correct me if wrong

23.3238 rounded to the nearest hundreath

Answers

Answer:

23.32

Step-by-step explanation:

the hundredths place is the 2 spot after the decimal

and if the # to the right of that # is 5 or grater you add a one

if it is 4 or lower you keep the # the same

23.3238

because 3 is next to the second place the 2 just stays the same

so now it's

23.32

Jackie has a puzzle book that contains a total of 70puzzles she has completed 2/5 of the puzzle in the book if Jackie completes 18 more puzzles what is the total number of puzzles that she will has completed in the book ?

Answers

Answer: 46 puzzles

Step-by-step explanation:

There are 70 puzzles in total in the book.

Jackie has completed 2/5 of these puzzles which is:

= 2/5 * 70

= 28 puzzles

Jackie has completed 28 puzzles. She then completes 18 more. The total number of puzzles completed is:

= 28 + 18

= 46 puzzles

The vertices of △JKL are J(−3, 4), K(3, 0), and L(−5, −4). The equation of the median to J is y=0. What are the coordinates of the centroid of △JKL?

Answers

Answer:j

Step-by-step explanation:

The coordinates of the centroid of △JKL are (-5/3 , 0)

What is centroid of a triangle and its coordinates?

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the triangle has its vertices as  [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex], then the coordinates of the centroid of that triangle is given by:

[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]

The vertices of ΔJKL lies in first quadrant because the coordinated of the vertices are positive which means the vertices are in the form of (x,y).

If the ΔJKL reflects along the x-axis then the vertices are in the form of (x,-y). Now the  ΔJKL reflects along the y-axis then the vertices are in the form of (-x,-y).

The given coordinates of the the vertices after transformation is J(−3, 4), K(3, 0), and L(−5, −4).

The equation of the median to J is y=0.

(-3 + 3 - 5 / 3 , 4 + 0 - 4/ 3) = (-5/3 , 0)

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Miranda opened a checking account with $560 from her summer job. She
withdrew the same amount each week for 13 weeks. Her balance was then
$365. Solve the equation 560 - 13m = 365 to find how much money m she
withdrew each week.

Answers

Answer:

The answer is $15.00 :)

Step-by-step explanation:

I took the test and that was the correct answer I got for this problem

1. Sketch the graph of f(x) = 3* and describe the end behavior of the graph.
id
X
8
6
-2
4
-1
I
2
0
-10-9-8-7 -6 -5 -4 -3 -2 -1 10
0
2.
3 4 5 6 7 8 9 10
o
-2
1
-4
2.
-6
-8

Answers

What the help is this

Translate the description as an algebraic expression:
a multiplied by the cube of 15

Answers

Answer:

t's no big surprise that variables act like pronouns, because (believe it or not) math is basically its own language, defined by numeric and logical rules. Therefore, one of the first skills you must master is how to translate regular English into this new (much geekier) math language. For now, I will help you translate English phrases into mathematical phrases, called

Step-by-step explanation:

Answer:

or

a(3375)

Step-by-step explanation:

You are multiplying a by the cube of 15

15 cubed = [tex]15^{3}[/tex] = 3375

10. Which equations could be used to solve
for x? Circle all that apply.

Answers

Answer: B and D

Step-by-step explanation:

Which pairs of fractions are equivalent? Mark all that apply. 4/5 and 8/12 2/3 and 10/15 1/6 and 3/18 2/7 and 6/20

Answers

Answer:

2/3 and 10/15 1/6 and 3/18

Step-by-step explanation:

to determine which fractions are equivalent, we multiply each fraction by 100

4/ 5 x 100 = 80

8/12 x 100 = 66.67

4/5 and 8/12 are not equivalent

2/3 x 100 = 66.7

10/15 x 100 = 66.7

2/3 and 10/15 are equivalent

If 10/15 is expressed in its simplest form. that is if both numerator and denominator are divided by 5, it would equal 2/3

1/6 x 100 = 16.7

3/18 x 100 = 16.7

1/6 and 3/18 are equivalent

If 3/18 is expressed in its simplest form. that is if both numerator and denominator are divided by 3, it would equal 1/6

2/7 x 100 = 28.6

6/20 x 100 = 30

2/7 and 6/20 are not equivalent

Find the probability that you will roll an even number exactly 5 times when you:

roll a six-sided number cube 10 times.
P =0.246

roll a six-sided number cube 20 times.
P =0.015

Explain why the second result is less.

Answers

Because you are rolling the cube more times, the probability of rolling an even number decreases. You have to divide by a bigger number, which always means the result will be smaller.

Please mark brainliest would greatly be appreciated.

Answer:

Sample Response: As the number of trials changes, the distribution changes. Since there is a 50% chance of rolling an even number, having a small number of successes is less likely when the number of rolls increases.

Step-by-step explanation:

I just did the Assignment on EDGE2020 and it's 200% correct!  

Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!)  :)  

Blank plus 2/3 equals 9/6​

Answers

Step-by-step explanation:

7/3

Hope it helps to you.,
The answer is 7/3.
9/3 - 2/3 = 7/3

Help please due in in 10 minutes

Answers

Answer:

answer is G

zeros are 3, -5

brainlist if you get this right please :)

help me solve this please

Answers

Answer:

2) 62°

Step-by-step explanation:

since there is a straight line (can also be called as a semi-circle), that gives us an idea that it is a 180 degree, because a whole circle is 360 degrees.

180-118 = 62°

Answer:

59° and 62°

Step-by-step explanation:

here's your solution

=> in the first picture , we know that sum of all angle on a straight line is 180°

=> so, angle ( ? + 121 ) = 180°

=> ? = 180° - 121°

=> ? = 59°

now , in second picture

=> ( x + 118° ) = 180°

=> x = 180° - 118°

=> x = 62°

hope it helps

Problem
3. The diagram shows the distance a tortoise can
walk if it walks at a constant pace for 15
minutes. At the same rate, how many
kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Minutes H
0
15
Meters
+
400
0

Answers

Explanation is in the file

tinyurl.com/wpazsebu

trigonometry please help! work need to be shown

Answers

Answer:

6.13

Step-by-step explanation:

This diagram shown is a right triangle;

USing the SOH CAH TOA idenity

Adjacent = x

Hypotenuse = 8

Angle of elevation = 40 degrees

cos theta = adj/hyp

cos 40 = x/8

x = 8cos40

x = 6.13

Hence the value of x to the nearest hundredth is 6.13

find geometric probability​

Answers

Answer: 67%

Step-by-step explanation:

Since we're not solving for area I would just divide this circle into 6 equal parts. 3 on both sides of the diameter. The orange parts take up about 120/180 on one sides of the circle. So 2/3 of half the circle are covered in orange which means 2/6 of the whole circle is covered in orange. Which leaves us with 4/6 blank or white area. 4/6 as a decimal is 0.6666667 or 67%

Answer:

66.67 % (Rounded to the nearest hundreth)

66.666..%  or 66 2/3 %

Step-by-step explanation:

The area of the whole circle with radius 4 is 50.27

The white area is 4/6 =  2/3 of the total area = 33.51333333

The geometric probability is the    favorable area divided by the total area

   33. 513333 / 50.27 = 0.6666666   = 66.666666%

if i have 9,999 points and divide that by 33 then subtract that by 99 and then add 738 how much will i have left lol

Answers

Answer:

942

Step-by-step explanation:

Answer:

942

Step-by-step explanation:

9999 divided by 33 equals 303

303 minus 99 equals 204

204 plus 738 equals 942

Will spent $40 at the fair. It cost $20 to get in the fair and $0.50 per ticket to ride the rides. How many tickets did Will buy? A. 40 B. 20 C. 120 D. 30

Answers

Answer:

B.20

Step-by-step explanation:

A drawing of a basketball backboard was made using semicircle and rectangle
What is the area of the drawing of the backboard
A: 126 in
B: 253.17in
C:380.34in
D:122.5 in

Answers

Answer:B 253.17
100% sure
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