A ring-shaped region is shown below.
Its inner diameter is 14 ft. The width of the ring is 4 ft.
4 ft
14 ft
Find the area of the shaded region.
Use 3.14 for PI. Do not round your answer.

Answers

Answer 1

The area of the ring-shaped shaded region is found to be 650.46 square feet.

The area of the bigger ring minus the area of the smaller ring will give us the area of the shaded region. The radius of the outer circle is,

r = (14 + 4/2) ft = 16 ft

The area of the outer circle is,

A_outer = πr²

= 3.14 x 16²

= 804.32 ft²

The radius of the inner circle is,

r = 14/2 ft

r = 7 ft

The area of the inner circle is,

A_inner = πr²

= 3.14 x 7²

= 153.86 ft²

Therefore, the area of the shaded region is,

A_shaded = A_outer - A_inner

= 804.32 - 153.86

= 650.46 ft²

So the area of the shaded region is 650.46 square feet.

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Complete question - A ring-shaped region is shown below. Its inner diameter is 14 ft. The width of the ring is 4 ft. Find the area of the shaded region. Use 3.14 for PI. Do not round your answer.

Related Questions

What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula

Answers

Answer:

x= −5−11√13/2, −5+11√13/2

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x= −5−11√13/2, −5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Step-by-step explanation:

x(x+5)=387

Simplify

x(x+5).

x^2+5x=387

Subtract 387 from both sides of the equation.

x^2+5x−387=0

Use the quadratic formula to find the solutions.

−b±√b^2−4(ac)/2a

Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1

Simplify.

x=−5±11√13/2

The final answer is the combination of both solutions.

x=−5−11√13/2, −5+11√13/2

The result can be shown in multiple forms.

Exact Form:

x=−5−11√13/2,−5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Hope it is helpful....

Answer:

[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

x(x + 5) = 387

Step 2: Identify Variables

Rewrite

[Distributive Property] Distribute x: x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides: x² + 5x - 387 = 0Part: a = 1, b = 5, c = -387

Step 3: Solve for x

Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify: [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]

I really need help really fast!!!

Answers

Answer:

-3 sqrt 2 or -4.242640687

Step-by-step explanation:

what is the area of a square yards of a rectangle with a length of 9 yds and a width of 4 yds?

Answers

[tex]a = lw[/tex]

[tex]a = (9)(4)[/tex]

[tex]a = 36 \: {yds}^{2} [/tex]

Answer:

Here we can understand that the shape is a rectangle as length is not equal to width.

Area of the rectangle in square yards when length is 9 yds and width is 4 yds will be,

Area of Rectangle = LENGTH × WIDTH

⇒ 9*4

⇒ 36 sd yds

Thus the are will be 36 sd yds

Logan ran a 200-meter rase in 25.24 seconds, and Scott ran 0.4 kilometer in 52.77 seconds. Who ran faster, Logan or Scott? And at what rate did they run meters per second

Answers

Which expression is represented by the model?

4X43
-4X-3
-4x+3

Answers

plz mark my answer as brainlist plzzzz vote me also .

hope this will be helpful to you.

Answer:

Step-by-step explanation:

x is 29 because the inverse opposite of angles are the same.

z is 102 because opposite parallelogram angles are the same.

y is 49 through process of elimination.

Help me it is an hw due soon please

Answers

Answer:

1st is 1/4 and 2nd is 1/10

3x - 2y= 5, 4x + 3y= 1

Answers

Answer:

x=17 and y=23 DONT SUE ME IF I GET THIS WRONG PLZZ ;-;

Step-by-step explanation:

Answer:

(1, - 1 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 5 → (1)

4x + 3y = 1 → (2)

Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y- term

9x - 6y = 15 → (3)

8x + 6y = 2 → (4)

Add (3) and (4) term by term to eliminate y

17x + 0 = 17

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

4(1) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

solution is (1, - 1 )

Which of the relations has a domain of {-5, 0, 5}?

A. {(-5, 5), (0, 5), (5,5)}
B. {(0, -5), (0, 0), (0, 5)}
C. {(-5, 0), (0, 5), (1, 0)}

Answers

Answer:

Step-by-step explanation:

its that how you would look like if you were anime sorry was looking at your pf. have a nice day

When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).

Answers

Answer:

About 51.6 feet

Step-by-step explanation:

50^2+13^2

Square root of 2669 is 51.66236541

Is the absolute value of -29 less than 29?

Answers

Answer:

Step-by-step explanation:

The absolute value is EXACTLY 29, so.

You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what do you do?

FOR ALL MY POINTS

Answers

Answer:

If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other

ex. 1/2 - 1/3

make a common denominator (or find the least common multiple)

3/6 - 2/6

subtract the numerators

take 2 from 3 and put that on top.

Solution 1/2-1/3= 3/6-2/6= 1/6

Si tenemos un cuadrado cuyos lados miden 1/3 en 7 partes iguales, ¿Cuál es su área?

Answers

Answer:

English please?

Step-by-step explanation:

...........

HELP ME!!!!!!!!!!! Its the one in the middle

Answers

Answer:

[tex]\frac{x3(p+5)}{10p(p-1)}[/tex]

Step-by-step explanation:

It represents decay because the term inside the parentheses (which is “b”) is less than one. To find the percentage rate, subtract b from 1 and multiply it by 100.

1-0.63=0.37
0.37(100)=37

So the final answer is 37% decrease.

Answer:

decay function

percent rate of decrease is 37%

Step-by-step explanation:

I assume the x is the exponent.

[tex] y = 47(0.63)^x [/tex]

The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.

Each unit more in x results in 0.63 being multiplied by the number.

Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.

Answer:

decay function

percent rate of decrease is 37%

5y=2x+5 Y=-x +6
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Answers

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Step-by-step explanation:

6/5 + 2x/5= y

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Answer:

Step-by-step explanation:

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A ring-shaped region is shown below. Its inner diameter is 14 ft. The width of the ring is 4 ft. 4 ft 14 ft Find the area of the shaded region. Use 3.14 for PI. Do not round your answer.

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A ring-shaped region is shown below.
Its inner diameter is 14 ft. The width of the ring is 4 ft.
4 ft
14 ft
Find the area of the shaded region.
Use 3.14 for PI. Do not round your answer.