The area of circular garden is 530.66 feet2. What is the circumference of the garden? (Use 3.14 for .

Answers

Answer 1

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ ------\\ A=530.66 \end{cases}\implies 530.66=\pi r^2 \\\\\\ \cfrac{530.66}{\pi }=r^2\implies \sqrt{\cfrac{530.66}{\pi }}=r \\\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \implies C=2\pi \left( \sqrt{\cfrac{530.66}{\pi }} \right)[/tex]

Related Questions

The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions.

What is the total area, in square millimeters, of the charm?

Answers

What is the size of trapezoid?

Answer:

855mm

Step-by-step explanation:

The area of the trapezoid can be calculated through the equation,

A = (b₁ + b₂)h / 2

where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,

A = (25mm + 32mm)(15 mm) / 2

A = 427.5 mm²

Since there are two trapezoids in the necklace, the area calculated is to be multiplied by two to get the total area.

total area = (427.5 mm²)(2)

total area = 855 mm²

The sum of two numbers is 46 and the difference is 14. What are the numbers?

Answers

Let x represent the larger number.
.. x -(46 -x) = 14 . .the difference is 14
.. 2x = 60 . . . . . . simplify
.. x = 30 . . . . . . . divide by 2
The larger number is 30; the smaller is 16.

x is the larger of the two numbers.
x + y = 46
x - y = 14 Add these two equations.
2x = 60 Divide by 2.
x = 60/2
x = 30
x + y = 46 Put 30 in for x
30 + y = 46 Subtract 30
y = 36 - 30
y = 16

the larger number is 30. The smaller is 16

evaluate r s + 14s when r= 6 and s= 1/4

Answers

R S + 14(S) R=6 S=1/4
(6)(1/4) + 14(1/4)
1.5 + 14(1/4)
1.5 + 3.5
5

A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.

Answers

Answer:

A,B,E

Step-by-step explanation:

HAVE A GOOD DAY

The required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.

Given that,
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
According to the question,
A smaller number is 3 less than half a larger number.
x = 1/2y - 3
or
2x -y = -6

The larger number is 10 times 1 less than the smaller number.
y = 10[x - 1]

Thus, the required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.

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Graph the following inequality. Then click until the correct graph appears.

x - y < 2

Answers

the correct graph is the dotted diagonal one ( 3rd picture)

Solve for y

y >x-2

Answer:

Third picture

Step-by-step explanation:

If you simplify the inequality, it is y > x - 2. Because of this, we can graph it as such.

Describe the relationship that must exist between a, b, and c in the equation ax^2+bx+c=0 in order for the equation to have exactly one solution

Answers

The equation [tex]ax^2+bx+c=0[/tex] has solutions given by [tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]. This means take the numbers a, b and c then plug them into that formula on your calculator and bam, answers.

The [tex]b^2-4ac[/tex] bit is called the discriminant and it tells you what kind of solutions occur,
-if [tex]b^2-4ac \ \textgreater \ 0[/tex] then the equation has two different solutions
-if [tex]b^2-4ac=0[/tex] then the equation has exactly one solution
-if [tex]b^2-4ac\ \textless \ 0[/tex] then the equation has no (real) solutions.

So you are interested in exactly one solution which happens if [tex]b^2-4ac=0[/tex] or equivalently [tex]b^2=4ac[/tex].

WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!!!!!!!!!

Tony is baking cakes and loaves of bread for a family reunion. His cake recipe uses 5 cups of flour for each cake, and his bread recipe uses 6 cups of flour for each loaf. He has 90 cups of flour on hand.

Let c represent the number of cakes and b represent the number of loaves of bread that Tony bakes.

Create an inequality that symbolizes this situation, and then answer the question below.

Can Tony bake 8 cakes and 9 loaves of bread without buying more flour?

Answers

5C+6B=90

5*6=30*3=90 YES

What is the median of this set of data? 1, 2, 5, 6, 9 1 5 8 9

Answers

5 is the median here

i believe number 5 is median here

Randall is going to the grocery store. It is 3 3/5 miles from his house. He walks 2 2/5 miles before it starts to rain. How far will he have to walk in the rain?

Answers

Subtract 2 2/5 from 3 3/5 and you get 1 1/5 of a mile left.

A graduated cylinder is filled with 36π of liquid. The liquid is poured into a different cylinder that has a radius of 3 cm. What will the height of the liquid be in the new cylinder?

Answers

Answer:

The height of the liquid in the new cylinder = 4 cm

Step-by-step explanation:

∵ The volume of the liquid = 36π cm³

∵ It poured into a cylinder that has radius 3 cm

∵ The volume of any cylinder = πr²h

∴ The volume of the liquid in the cylinder = π(3)²h = 9πh

- Where h is the height of the liquid inside the cylinder

∴ 9πh = 36π ⇒ divide both sides by π

∴ 9h = 36 ⇒ h = 36/9

∴ h = 4 cm

∴ The height of the liquid in the new cylinder = 4 cm

The height of the liquid in the new cylinder will be 4 cm. The term height is frequently used to describe someone's or something's height.

What is the height?

Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.

From the given conditions;

The volume of the liquid is, [tex]\rm V_L=36 \pi \ cm^3[/tex]

The radius of the cylinder is,[tex]\rm r=3 cm[/tex]

The volume of the cylinder is found as;

[tex]\rm V= \pi r^2 h \\\\ \rm V= \pi (3)^2 h \\\\ \rm V=9\pi h[/tex]

The height of the liquid is in the new cylinder is found as;

The volume of cylinder = Volume of liquid

[tex]\rm 9 \pi h= 36 \pi \\\\ \rm h=\frac{36}{9} \\\\ h= 4 \ cm[/tex]

Hence the height of the liquid in the new cylinder will be 4 cm.

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Kevin rented a truck for obe day. There was a base fee of $15.99, and there was an additional charge of 83 cents for each mile driven. Kevin had to pay $177.01 when he returned the trunk. For how many miles did ge drive the trunk?

Answers

First, subtract 15.99 from 177.01
This should give you 161.02
Then divide 161.02 by .83
He drove 194 miles :)

A used bookstore will trade 2 of its books foe of yours, If Val brings in 18 books to trade,how many books can she get from the store

Answers

I believe your answer is 36 books. If the bookstore is going to give you two books, to your one, that'll double the books you get!

Hope this helps!
♤MidnightQueen

Solve for W!
W - 2.76 = 6.7

Answers

W - 2.76 = 6.7

isolate the W by adding 2.76 to both sides of the equal sign

W - 2.76 (+2.76) = 6.7 (+2.76)

W = 6.7 + 2.76

W = 9.46

9.46 is your answer

hope this helps

All you need to do is add 2.76 to 6.7.

W= 9.46

A box of 24 chocolate truffles cost $28.50 and individual truffle cost $1.50 how much do you save by purchasing a box of 24

Answers

[tex]1.50 \times 24 = 36 \\ 36 - 28.50 = 7.5[/tex]
you save $7.50

You would save exactly 7 dollars and 5 cents because if you do 1.50 x 24 in a whole box it would 36 dollars and if you subtract that from 28.50 you would get 7 dollars and 5 cents.

what is the explicit rule for the following sequence -10 - 12 -14 -16

Answers

The explicit rule is in the pic

Solve and graph question 5 help with this problem

Answers

Hello there!

6 - 2x > 2x + 26

Let's start by subtracting 2x from both sides

6 - 2x - 2x > 2x - 2x + 26

-4x + 6 > 26

Then add -6 to both sides

-4x + 6 - 6 > 26 - 6

-4x > 20

Divide both sides by -4

-4x/-4 > 20/-4

x < -5

As you can see, I change the sign. The reason is because whenever you divide both sides by a negative sign, you MUST change the sign.

The answer is -5

See picture bellow for the graph!

I hope this answer helps, and please let me know if you have questions about the answer.

As always, I am glad to be your helper to night!

The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is (x - 4)² + y² = 2√3 (x - 4)² + y² = 12 (x + 4)² + y² = 12

Answers

The equation of a circle is (x-a)²+(y-b)²=R²
(x-4)²+(y-0)²=(2√3)²
(x-4)²+y²=12

Answer:

Equation of the circle is

[tex](x-4)^2+y^2=12[/tex]

Step-by-step explanation:

We have been given that

center of the circle = (4,0)

Radius of the circle = [tex]2\sqrt3[/tex]

The standard form of a circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, (h,k) is the center and r is the radius. Thus, we have

h = 4, k = 0, r = 2√(3)

Substituting these values in the above equation, we get

[tex](x-4)^2+(y-0)^2=(2\sqrt3)^2[/tex]

Simplifying, we get

[tex](x-4)^2+y^2=12[/tex]

Therefore, equation of the circle is

[tex](x-4)^2+y^2=12[/tex]

A hacker is trying to guess someone's password. the hacker knows (somehow) that the password is 6 digits long, and that each digit cound be a number between 0 and 8. assume that the hacker makes random guesses. what is the probability that the hacker guesses the password on his first try? round to four decimal places.

Answers

The probability that the hacker guesses the password on his first try is 0

How to determine the probability?

The password is given as:

Password = 6 digit long

The usable numbers are:

Digits = 0 to 8 i.e. 9 digits

If the digits can be repeated, then the number of passwords is:

Password = 9^6

Evaluate the exponent

Password = 531441

The probability that the hacker guesses the password on his first try is

P = 1/531441

Evaluate

P = 0.00000188167

Approximate

P = 0.0000

Hence, the probability that the hacker guesses the password on his first try is 0

Answers

A reasonable estimate to the nearest whole number would be 95, to the nearest tenth it would 94.7, and to the nearest hundredth, it would be 94.69. It all depends on whether the number to the right is greater or less than 5.

The common denominator of 3/4 and 9/10

Answers

The common denominator would be 20 , 3/4 would turn into 15/20 and 9/10 would be 18/20

To common denominator would be 20, since 4 and 10 can both become 20 after multiplying themselves with other numbers, in this case 5, and 2.
So 3/4 would be 15/20, and 9/10 would become 18/20.

What is the ninth term in the binomial expansion of (x – 2y)13? 329,472x5y8 –329,472x5y8 –41,184x8y5 41,184x8y5

Answers

Hello,
Please, see the detailed solution in the attached file.
Thanks.

Please help me with questions 14 and 15

Answers

Problem 14: The answer is choice A since the x coordinate flips in sigh (from positive to negative or vice versa). The y coordinate stays the same. This rule reflects the figure over the y axis.

---------------------------------------------------------------------------------------------

Problem 15: The answer is choice A
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = 12/13

Assume Triangle EFG equals triangle JKL

Answers

Hello!

Since ΔEFG is congruent to ΔJKL, their corresponding angles are congruent (CPCTC). The congruence statement tells you which angles of the triangle correspond; ∠E corresponds to ∠J, ∠F corresponds to ∠K, and ∠G corresponds to ∠L. The measures of all the angles of ΔJKL are given, so you just have to name the angle of ΔJKL that corresponds to ∠E of ΔEFG.

Looking at the congruence statement, ∠J corresponds to ∠E, and the m∠J is 90°. Thus the answer is 90°.

Answer:
m∠E = 90°

Peyton has 2 pizzas. Each pizza is cut into 10 equal slices. She and her friends eat 14 slices. What part of the pizzas did they eat?

Answers

To find the answer, you'd multiply 2 and 10 to get 20. 20 will then be the denominator of the fraction. If they ate 14 slices, the fraction would be 14/20, which can be simplified by dividing it by 2. This will give you 7/10.

70% part of the pizzas they ate.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Peyton has 2 pizzas. Each pizza is cut into 10 equal slices.

Thus, total slices of pizza = 10 *2

total slices of pizza = 20

Since, She and her friends eat 14 slices.

Thus,

Percentage of pizza they eat = 14/20*100

Percentage of pizza they eat = 14*5

Percentage of pizza they eat = 70%

Therefore, Alex and her friends Eat 70% of the pizza.

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Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get 700. What is the number?

Answers

The number is 6.25.

We will set up an equation for this. Let x be the unknown number. Subtracting 1.05 from it gives us

(x-1.05)

Multiplying the difference by 0.8 would give us

0.8(x-1.05)

Adding 2.84 to the product would give us

0.8(x-1.05)+2.84

Dividing the sum by 0.01 would give us

[0.8(x-1.05)+2.84]/0.01 = 700

We will start working backward, cancelling the division by 0.01 first by multiplying:

([0.8(x-1.05)+2.84]/0.01)*0.01 = 700*0.01

0.8(x-1.05)+2.84 =7

Subtract 2.84 from both sides:
0.8(x-1.05)+2.84-2.84 = 7-2.84
0.8(x-1.05) = 4.16

Use the distributive property on the left side:
0.8*x - 0.8*1.05 = 4.16
0.8x - 0.84 = 4.16

Add 0.84 to both sides:
0.8x - 0.84+0.84 = 4.16+0.84
0.8x = 5

Divide both sides by 0.8:
0.8x/0.8 = 5/0.8
x = 6.25

Answer:

6.25

Step-by-step explanation:

I go to rsm and this answer worked

A bag contains 15 red candies, 20 blue candies, and 10yellow candies. What is the probability of drawing a red candy? A blue candy? Something besides a yellow candy?

Answers

Final answer:

The probability of drawing a red, blue, and a candy that is not yellow from the bag is 1/3, 4/9, and 7/9 respectively.

Explanation:

The question involves the concept of probability in mathematics, with a scenario of drawing candies from a bag. The total number of candies in the bag is 45 (15 red + 20 blue + 10 yellow).

The probability of drawing a red candy is the number of red candies divided by the total number of candies, which is 15/45 or 1/3.

The probability of drawing a blue candy is the number of blue candies divided by the total number of candies, which is 20/45 or 4/9.

If we want to find the probability of drawing something other than a yellow candy, this is essentially the sum of the probabilities of drawing a red or blue candy. This is 35 out of 45 (15 red candies + 20 blue candies), which reduces to 7/9.

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Devin borrowed $1,058 at 13 percent for nine months.

What will he pay in interest?

How much is his total payment?

What will be his monthly payment?

Answers

Answer:

A. [tex]I\approx \$103.16[/tex]

B. [tex]\text{Total payment}=\$1161.16[/tex]

C. [tex]\text{The monthly payment}\approx \$129.02[/tex]

Step-by-step explanation:

We have been given that Devin borrowed $1,058 at 13 percent for nine months.

A. To find the amount of interest paid by Devin we will use formula: [tex]I=Prt[/tex], where,

[tex]I=\text{Amount of interest}[/tex],

[tex]P=\text{Principal amount}[/tex],

[tex]r=\text{Interest rate in decimal form}[/tex],

[tex]t=\text{Time in years}[/tex].

Let us convert our given interest rate in decimal form and time in years.

[tex]13\%=\frac{13}{100}=0.13\\\text{9 months}=\frac{9}{12}\text{ year}=\frac{3}{4}=0.75\text{ year}[/tex]

Upon substituting our given values in interest formula we will get,

[tex]I=\$1058*0.13*0.75[/tex]

[tex]I=\$103.155\approx \$103.16[/tex]

Therefore, the amount of interest paid by $103.16.

B. Since total payment will be equal to interest rate plus amount of interest.

[tex]\text{Total payment}=\$1058+\$103.16[/tex]

[tex]\text{Total payment}=\$1161.16[/tex]

Therefore, Devin's total payment will be $1161.16.

C. To find the monthly payment we will divide total amount by 9.

[tex]\text{The monthly payment}=\frac{\$1161.16}{9}[/tex]

[tex]\text{The monthly payment}=\$129.01722\approx \$129.02[/tex]

Therefore, the amount of Devin's monthly payment is $129.02.

Marge cut 16 pieces of tape for mounting pictures on poster board. Each piece of tape was 3/8 inch long. How much tape did Marge use?

Answers

Hello!

Let's convert 3/8 to a decimal and then multiply the length of each piece of tape by how many pieces Marge used.

To convert a fraction to a decimal, simply divide its numerator by its denominator:

3 ÷ 8 = 0.375

Next, multiply this by the amount of pieces Marge cut.

0.375 × 16 = 6

Therefore, Marge used 6 inches of tape.

Describe two different sequences of transformations that will map ABCD to EFGH.

Answers

The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.

Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin

Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units

This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5

Or,
.. reflect across the line y=2.5
.. reflect across the line y=x

Answer:

The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.

Translation before rotation:

.. translate down 5 units

.. rotate counterclockwise 90° about the origin

Translation after rotation:

.. rotate counterclockwise 90° about the origin

.. translate right 5 units

This can also be accomplished by a double reflection.

.. reflect across the line y=x

.. reflect across the line x=2.5

Or,

.. reflect across the line y=2.5

.. reflect across the line y=x

Step-by-step explanation:

please mark this answer as the brainlest

You are selling items from a catalog for a school fundraiser. Select two inequalities that you can use to find the range of sales that will earn you at least $40 and at most $50. Then find the range of sales. Let x represent the amount of sales (in dollars).

Answers

5(x/50)≥40
5(x/50)≤50
Selling between $400 and $500 will earn you between $40 and $50.

Final answer:

The range of sales that will earn at least $40 and at most $50 is represented by the inequalities x >= 40 and x <= 50. Hence, the range of possible sales is x such that 40 <= x <= 50.

Explanation:

The subject of this question is inequalities and the concept of a range of numbers in mathematics. Here, we're looking at a range of sales values that will result in the organizer earning between $40 and $50.

The two inequalities that represent this scenario are: x >= 40 and x <= 50.

To find the range of sales, we look at the values that satisfy both conditions. Therefore, the range of sales is all the sales amounts (x) such that: 40 <= x <= 50. This means that any amount of sales that is greater than or equal to $40 and less than or equal to $50 will meet the criteria.

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