All categories

3 years ago

A sidewalk of width 2 feet is being built around a pool. Which expression represents the area of the sidewalk?

Mathematics

2 answers:

allsm [11]3 years ago

8 0

Use the formula for area!

Molodets [167]3 years ago

4 0

I would assume it's the area of both the sidewalk and pool combined (79ft x 49ft = 3,871) minus the area of the pool alone (75ft x 45ft = 3,375). The area of the sidewalk would then be 496 ft $x^{2}$ .

You might be interested in

Solve the inequality.

maw [93]

The solution to inequality is less than the negative of 21. Then the correct option is C.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

−(1/3)x + 10 > 17

Then the solution to the inequality will be

−(1/3)x + 10 > 17

−(1/3)x > 17− 10

−(1/3)x > 7

When the sign is changed then the equality sign also changed.

(1/3)x < −7

x < − 21

The value of x is less than the negative of 21.

Thus, the correct option is C.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

3 0

2 years ago

What is a quartic polynomial function in standard form with zeros -2,4,4,and 3

Travka [436]

We can simply multiply the roots together to find the original function.

(x + 2)(x - 4)(x - 4)(x - 3)

FOIL.

x^2 - 4x + 2x - 8(x - 4)(x - 3)

Combine like terms.

x^2 - 2x - 8(x - 4)(x - 3)

FOIL.

x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)

Combine like terms.

x^3 - 6x^2 + 32(x - 3)

FOIL.

x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96

Combine like terms.

<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>

6 0

3 years ago

What is 1 3/4 + 4 7/12 as a mixed fraction??

N76 [4]

Convert to base 12:

1 9/12+4 7/12

Then, add!:

5 16/12=6 4/12 =6 1/3

The answer is 6 1/3.

7 0

3 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

4 years ago

(9+8)+6/3-7×2 how to slove

klemol [59]

Answer:

Step-by-step explanation:

There is a specific order to do these kind of problems..

first, we do everything in parenthesis...

(9 + 8) + 6/3 - 7 * 2

17 + 6/3 - 7 * 2

now, starting from the LEFT side, do all multiplication and division in the order it comes

17 + 2 - 14

now, starting from the LEFT side, do all addition and subtraction in the order it comes

19 - 14 = 4

so ur answer is 4

Learn this...order of operations....this is the order u do these problems in..

PEMDAS

P = parenthesis

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

keep in mind, multiplication/division are done from left to right....u do not have to do multiplication before u do division....it just depends on which comes first when starting from the left side.....that also applies to addition/subtraction

5 0

3 years ago

Read 2 more answers