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Tatiana [17]
2 years ago
11

A rectangular swimming pool with length b and width h is surrounded by a walkway that is 3 feet wide. Which equation below could

be used to find the area of the walkway?
Mathematics
1 answer:
Katarina [22]2 years ago
7 0

The equation that can be used to find the area of the walkway is A = 3h+3b+9.

<h3>What is a rectangle?</h3>

A rectangle is a plane shape that has pair of opposite sides equal and parallel.

To find the equation that could be used to find the area of the walkway, we use the formula below.

Formula

  • Area of the walkway(A) = Area of the swimming pool and the walk- area of the swimming pool
  • A = [(h+3)(b+3)]-(hb)
  • A = hb+3h+3b+9-hb
  • A = 3h+3b+9.

Hence, The equation that can be used to find the area of the walkway is A = 3h+3b+9

Learn more about rectangles here: brainly.com/question/17297081

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Simplify (5+1)^2-(12+3^2)/3
lakkis [162]

Answer:

29

Step-by-step explanation:

Simplify the expression (5+1)^2-\dfrac{12+3^2}{3} step by step:

1.

(5+1)^2=6^2=6\cdot 6=36

2.

\dfrac{12+3^2}{3}=\dfrac{12+3\cdot 3}{3}=\dfrac{12+9}{3}=\dfrac{21}{3}=7

Now,

(5+1)^2-\dfrac{12+3^2}{3}=36-7=29

3 0
3 years ago
Read 2 more answers
Find a third-degree polynomial equation with rational coefficients that has the roots 2 and -3 + i.
NeTakaya

Answer:

Option B

Step-by-step explanation:

Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).

So in factor form we have:-

(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0    Let's expand the last 2 factors first:-

(x - (-3 + i))(x - (-3 - i))

= (x + 3 - i)(x + 3 + i)

= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2

= x^2 + 6x + 9 - (-1)

= x^2 + 6x + 10

Now multiplying by (x - 2):-

(x - 2)(x^2 + 6x + 10) = 0

x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0

x^3 + 4x^2 - 2x - 20 = 0    (answer)

Option B

5 0
4 years ago
Write an equation of the line containing the given point and parallel to the given line.
Dafna11 [192]

Answer:

y = 5/9x - 37/3

Step-by-step explanation:

5x - 9y = 8

-9y = -5x + 8

y = 5/9x - 8/9

  • When a line is parallel, the slope remains the same.

y = 5/9x + b

-9 = 5/9(6) + b

-9 = 10/3 + b

-37/3 = b

6 0
3 years ago
HELP PLEASE!!! ILL GIVE BRAINLIEST!!!!!
Semenov [28]

Answer:

h= -128t

Step-by-step explanation:

- 16t+128t

-256t + 128

3 0
3 years ago
Please help I have spent hours trying to do...
Igoryamba

Answer:

  1. 914.4 mm
  2. 0.0479594 km

Step-by-step explanation:

For units conversion, use a conversion factor ratio with the units you do want in the numerator and the units you don't want in the denominator. The numbers in the numerator and denominator give the ratio a value of 1: the numerator is equal to the denominator--just in different units.

__

1. For feet to mm, you need a couple of additional conversion factors besides the ones shown:

  1 foot = 12 in

  1 cm = 10 mm

So, the conversion is ...

  (3\text{ ft})\times\dfrac{12\text{ in}}{1\text{ ft}}\times\dfrac{2.54\text{ cm}}{1\text{ in}}\times\dfrac{10\text{ mm}}{1\text{ cm}}=3\times12\times2.54\times10\text{ mm}\\\\=\boxed{914.4\text{ mm}}

__

2. The additional factor you need for this problem is ...

  1 mile = 5280 feet

So, the conversion is ...

  (157\text{ ft})\times\dfrac{1\text{ mi}}{5280\text{ ft}}\times\dfrac{1\text{ km}}{0.62\text{ mi}}=\dfrac{157}{5280\times0.62}\text{ km}\\\\\approx\boxed{0.0479594\text{ km}}

_____

<em>Additional comment</em>

You can use Google to do units conversion by typing "3 feet to mm" or "157 feet to km". However, the conversion factor for the latter will be more exact than the one given in this problem. Hence the Google answer to the second question will not be applicable here.

7 0
3 years ago
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