find the area and the circumference of a circle with the diameter 6 yards

Answers

Answer 1

Answer:

area = 28.27

circumference = 18.85

Step-by-step explanation:

Using the formulas for area,

A = πr^2

d = 2r

Solving for area,

A = 1/4 πd^2 = 1/4 × π × 6^2 ≈ 28.27yd²

Using the formulas for circumference,

C = 2 πr

d = 2r

Solving for circumference,

C = πd = π × 6 ≈ 18.85yd


Related Questions

There are a rack of 14 billiard balls. Balls numbered 1 through 8 are solid-colored. Balls numbered 9 through 14 contain stripes. If one ball is selected at random, determine the odds against it being striped.

Answers

Answer:

3/7  /    42.8% chance

Step-by-step explanation:

There are 6 striped balls (9, 10, 11, 12, 13, 14) and 8 (1, 2, 3, 4, 5, 6, 7, 8) solid colored balls. So, 6 / 14 balls are striped.

(6 / 14  = 3 / 7)

this means that the probability of a ball being striped has the odds of 3/7

(3/7 = about 42.8% chance)

The area of a circle with a diameter of 240

Answers

Answer:

in terms of pi: A = 14,400pi

A = 14,400(3.14) is 45,216

Step-by-step explanation:

Area of a circle is pir^2

Radius = diameter / 2

Radius = 240 / 2 which is 120

A = pi(120)^2

A = 14,400pi

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the area of a circle with a diameter of 240.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

First of all, we need to find the radius.

We can find the radius by dividing the diameter by 2:

[tex]\star~\large\pmb{240\div2=120}[/tex]

The radius is 120. Now it's time to compute the area!

///\\\///\\\///\\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\

                                    Computing The Area

The formula for the area is:

[tex]\star~\large\pmb{Area_{(circle)}=\pi r^2}}[/tex]

See, there's the radius, r; we found a minute ago, and it equals 120 cm.

Now, substitute the value of r into the formula:

[tex]\begin{gathered} \sf{\longmapsto{A=\pi (120)^2} \\ \sf{\longmapsto{A=\pi\times14,400} \\ \sf{\longmapsto{A=45,238.9\;cm^2 \end[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

ƒ(1) = −6
f(2)=-4
f(n) = f(n-2) + f(n-1)
f(3) =

Answers

Answer:

-10

Step-by-step explanation:

if we put f(n)=3 , Then

f(3)=f(3-2) + f(3-1)

= f(1) + f(2)

= -6+(-4). [since f(1)= -6 and f(2) = -4)

= -6-4

= -10

the perimeter of a rectangle is 30cm while it breadth is 5cm find the length of the rectangle

Answers

Answer:

10 cm

Step-by-step explanation:

See attached image

Answer:

length = 10 cm

Step-by-step explanation:

Fyi, breadth is a synonym to width.

Since P=30, we must find the length.
l = length
w = width
P=w+w+l+l

30 = 5+5+l+l
30 = 10+2l
-2l = -20
l = 10

Hence, the length is 10 cm.

Which of the following could be the value of x in the equation x^2 - 21 = 100 Choose all the correct answers

Answers

How to solve your problem

x^{2}-21=100

Quadratic formula

Factor

1

Move terms to the left side

x^{2}-21=100

x^{2}-21-100=0

2

Subtract the numbers

x^{2}\textcolor{#C58AF9}{-21}\textcolor{#C58AF9}{-100}=0

x^{2}\textcolor{#C58AF9}{-121}=0

3

Use the quadratic formula

x=\frac{-\textcolor{#F28B82}{b}\pm \sqrt{\textcolor{#F28B82}{b}^{2}-4\textcolor{#C58AF9}{a}\textcolor{#8AB4F8}{c}}}{2\textcolor{#C58AF9}{a}}

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

x^{2}-121=0

a=\textcolor{#C58AF9}{1}

b=\textcolor{#F28B82}{0}

c=\textcolor{#8AB4F8}{-121}

x=\frac{-\textcolor{#F28B82}{0}\pm \sqrt{\textcolor{#F28B82}{0}^{2}-4\cdot \textcolor{#C58AF9}{1}(\textcolor{#8AB4F8}{-121})}}{2\cdot \textcolor{#C58AF9}{1}}

4

Simplify

Evaluate the exponent

Multiply the numbers

Add the numbers

Evaluate the square root

Add zero

Multiply the numbers

x=\frac{\pm 22}{2}

5

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=\frac{22}{2}

x=\frac{-22}{2}

6

Solve

Rearrange and isolate the variable to find each solution

x=11

x=-11

solve the equation
x + 10 = 20

Answers

20-10=10 therefore X=10

10+10=20

Complete the table of values for the equation, 16x + 4y = 12.

x y
-2
-1
0
1
2

Answers

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

Linear Function

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope;b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

For x= -1,  the value of y will be:

         16*(-1)+4y=12

-16+4y=124y=12+164y=28y=7For x= 0,  the value of y will be:

         16*(0)+4y=12

0+4y=124y=124y=12y=3For x= 1,  the value of y will be:

         16*(1)+4y=12

16+4y=124y=12-164y=-4y= -1For x= 2,  the value of y will be:

         16*(2)+4y=12

32+4y=124y=12-324y=-20y= -5

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Brenda earns $18,200 per year. What’s her semi monthly salary.

Answers

$1,516 would be Brenda’s monthly salary

Which measure of central tendency can be used in finding the average of your grades in a quarter?​

Answers

Answer: you can use Mean

Explanation: Average can simply be defined as the sum of all the numbers divided by the total number of values. A mean is defined as the mathematical average of the set of two or more data values. Average is usually defined as mean or arithmetic mean.

Photo is attached!!!!!! Pleaseeee help!!!

Answers

Answer:

1.) ∞

2.) -∞

3.) 0

4.) 0

Step-by-step explanation:

As you approach x = -2 from the left, the "y" values are going to infinity. You never actually get a "y" value that equals x = -2 because of the vertical asymptote.

As you approach x = -2 from the right, the "y" values are going to -infinity. You never actually get a "y" value because there is a vertical asymptote.

As you approach x = 2, both sides converge to y = 0. At this point, there is a smooth, uninterrupted line.

The actual "y" value at x = 2 is 0 because the function goes straight through this point. So, you can just read this point as usual.

A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?

Answers

Answer:

6 m²

Step-by-step explanation:

Original area :

12 × 14 = 168 m²

New area :

(12-3) × (14+4) =  

9 × 18 = 162 m²

168 - 162 = 6

Area would change by 6 m²

Which expression represents the perimeter of the triangle?

8x + 2
18x
8x

Answers

Answer:

8x

Step-by-step explanation:

We can add all of the side lengths of the triangle to figure out the perimeter. 3x-1+3x+1=6x+2x=8x

Wendy winholtz 8 year savings certificate pays an annual interest rate of 5.3% at the end of 5 years she cashed out the 6,000 CD and paid a penalty of 12 month simple interest. What penalty did she pay

Answers

Answer:

  318

Step-by-step explanation:

The rate of 5.3% is an annual rate, and specifies the amount of interest earned in a 12-month period by the principal amount of the CD. The interest amount is found by multiplying the interest rate by the principal amount.

__

penalty

The amount of the penalty is 5.3% of 6000:

  0.053 × 6000 = 318

Wendy paid a penalty of 318 for her early withdrawal.

On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (1.5, 0).
Determine the domain and range of the given function.

The domain is
all real numbers
.

The range is
.

Answers

Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

What is the domain and range of a function?

A domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

The curve points are

P₁ ( -1,5 , 0 )   Q ( 0. -2 ) and P₂ ( 1,5 , 0 )

We can see that P₁  and P₂ are symmetric around the y-axis, and point Q looks like a vertex so we can conclude the curve as

ax² + bx + c = y

The curve is a parabola

when x = 0      

y = -2    

then   c  = - 2

The equations we get,

a (-1.5)²  +  b (-1.5) + c = 0      

2.25a  - 1.5b - 2 = 0

a (1.5)²   +  b ( 1.5)  + c = 0    

2.25a + 1.5b -2 = 0

Adding these two equations

4.5a - 4 = 0

a =  4/4.5

The vertex is Q ( 0 , -2 )

x = - b/2a      

0 = - b/ 9      

b  =  0

Therefore the equation of the function :

ax² + c = 0

(4/4.5) x² - 2 = 0

Therefore, Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

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Answer:

In a shorter explanation of what the guy above me is saying

The domain is all real numbers or A

The range is "all real numbers greater than or equal to –2" or B

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 3.4

Step-by-step explanation:

Use the sin formula, due to the fact of the hypotenuse being known, and the variable being across 70.

Sin(70) = x / 3.6

Sin(70) * 3.6 = x

3.3828934 = x

Round to nearest tenth, as question asked

3.4 = x

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

I need two question please

Answers

Um there is not picture but if your asking us for a question then here is two Why is the USA called the USA and who invented shoes

Halp me
Me too dum to know pls halp

Answers

Answer:

Coordinate pair for Friday (3, 55). This means the length of the eruption was 3 minutes, and the wait time between the eruptions was 55 minutes.

Paulo and Jason wear smaller shoe sizes than Carmen.

Jason and Carmen scored more runs than Paulo.

Step-by-step explanation:

Paulo wears size 5 and Jason wears size 4. Carmen wears size 10, therefore the players wear smaller shoe sizes than he does

Jason scored 10 runs, and Carmen scored 11. Since Paulo only scored 5 runs, the other players scored more than him

make w the subject of the formula p = 2w+7 divided by 12

Answers

Answer:

w = (12p - 7) / 2

Step-by-step explanation:

p = (2w + 7) / 12

12p = 2w + 7

2w = 12p - 7

w = (12p - 7) / 2

Bobby is having a summer barbecue. He is inviting 7 of his friends. He wants to have enough food for everyone to have two hot dogs. How many hot dogs will bobby need to cook for himself and his friends?

Answers

Answer:

16

Step-by-step explanation:

7 friends = 14 hotdogs + bobby (2 hotdogs) = 16 hotdogs

Answer:

16 hot dogs

Step-by-step explanation:

since he has 7 friends + himself, we're going to have a total of 8 persons

and since it's expected for each person to have two hot dogs,

total hotdogs Bobby need to cook= 8×2= 16 hot dogs

19) Florence has a strip of clothing that is 8 feet long. About how many 2 feet strips can she cut from the 8-foot strip?


I really need help with this

Answers

Answer:

4

Step-by-step explanation:

8/2 is 4

What is the area of the figure below ​

Answers

Answer:

Total Area = 68

Step-by-step explanation:

Comment

There is 1 square at each end.

There are 2 congruent trapezoids in the middle

Draw a 7 inch line across the widest part of the middle

Area of the squares

Area = s^2

s = 3

Area = 3^2

Area = 9

But there are 2 of them                                        18

Area of the 2 trapezoids

Area = (b1 + b2)*h / 2

b1 = 3

b2 = 7    Notice that 7 was the line you drew

h = 5

Area = (3 + 7)*5/2

Area = 50 / 2

Area = 25

But there are 2 of them                                        50

Total Area                                                              68

Simplify the following: 9 – 2(x - 5) = x + 10

Answers

Answer:

x = 3

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve for x.

Solve9 - 2(x - 5) = x + 109 - 2x + 10 = x + 1019 - 10 = 3x9 = 3xx = 3

The value of x is 3.

We can plug it back in to check if it works.

Check9 - 2(x - 5) = x + 109 - 2(3 - 5) = 3 + 109 - 2(-2) = 3 + 109 + 4 = 3 + 1013 = 13

Correct!

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

Given equation:

9 - 2(x - 5) = x + 10

Distribute

9 - 2x + 10 = x + 10

Subtract 10 to both sides

9 - 2x = x

Add 2x to both sides

9 = x + 2x

9 = 3x

Divide 3 to both sides

9/3 = 3x/3

3 = x

OR

x = 3

[tex]\rule[225]{225}{2}[/tex]

Find the value of x. Round to the nearest tenth. X A B 68° 13 x = [?] X Law of Sines; sin A 83° C​

Answers

Step-by-step explanation:

hope you have a great day

The value of x will be;

⇒ x = 13.9

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

Since, We know that;

The sine rule is;

⇒ sin A / a = sin B / b = sin C / c

By given figure, we get;

⇒ sin 83°  / x = sin 68° / 13

⇒ sin 83° × 13 / sin 68° = x

⇒ x = 0.99 × 13 / 0.92

⇒ x = 13.9

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In ΔABC, m∠A = 2m∠B and m∠B = 3m∠C.
What is m∠C?

Answers

A triangle is a three-edged polygon with three vertices. The measure of ∠C is 18°.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Let the measure of ∠C be represented by x. Given the measure of ∠A= 2(∠B), while the measure of ∠B=3(∠C). Therefore, the measure of angles can be written as,

∠A = 2(∠B) = 2[3(∠C)] = 6x

∠B = 3x

∠C = x

Now, since the sum of all the angles of a triangle is 180°. Therefore,

∠A + ∠B + ∠C = 180°

6x + 3x + x = 180°

10x = 180°

x = 18°

Hence, the measure of ∠C is 18°.

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Q5. Find each value.

Answers

Answer:

[tex]a. {( \sqrt{36} )}^{2} = 36[/tex]

[tex]b. ({ \sqrt{ \frac{25}{81} } })^{2} = \frac{25}{81} = 0.3086[/tex]

[tex]c. {( \sqrt{1.99} )}^{2} = 1.99[/tex]

[tex]d. {( \sqrt{x} })^{2} = x[/tex]

The square exponent is removed with the root .

2 over 5 of a bag of chips is in the cupboard. you eat 3 over 4 of what is left. how ,uch of the whole bag did you eat?

Answers

Answer:

3/10

Step-by-step explanation:

So you have 2/5 left in your cupboard. Say the amount of chips originally in your cupboard would be 30. 2/5 of 30 would be 12.

Then multiply 12 by 3/4 so it would be 3/4 of 12.

The result would be 9

9/30 = 3/10

this is complicated explanation

there are much easier explanations tho

i needs help with it please ​

Answers

Answer:

d.  ΔMNO

Step-by-step explanation:

In geometry, two figures are congruent if they are the same shape and size (they can also be a mirror image of each other).  If they are the same shape but a different size (e,g, one is an enlargement or reduction of the other), then they are similar.

All the given triangles have the same interior angles, so we need to find a triangle with the same side lengths as ΔABC.  

The only triangle that has the same side length as ΔABC is ΔMNO:
they both have bases of 8cm.

Therefore, ΔMNO is congruent to ΔABC.

What is the range of this data set?

{5, 12, 15, 11, 15, 7, 15, 10, 13}

options:

8


10


12


15

Answers

The answer would be 10 as the range means the difference between the highest and lowest number.

Answer: 10 is the range, option B/ option G

Step-by-step explanation: range is the most subtracted by the least, so organize the data set which makes it (5, 7, 10, 11, 12, 13, 15, 15, 15)

15 - 5 is 10.

Which shows a perfect square trinomial?

Answers

Answer:

-ax² + bx + c and satisfies the condition b² = 4ac

Step-by-step explanation:

that's my answer

{Correct me if I'm not correct}

Keep safe|

Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) Work out the actual horizontal distance between A and B.​

Answers

Answer:

120 meters

Step-by-step explanation:

1.2  x 10 000 = 12000 cm   = 120 meters  

120 meters is the answers
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