Area of circles

Susan designed a circular pool with a diameter of 25 meters. what is the area of the bottom of the pool? round to rhe nearest.

Answers

Answer 1

Step-by-step explanation:

Diameter of circle = 25 m

Therefore, radius of the circle = 12.5 m

[tex]area \: of \: bottom \: of \: pool \\ = \pi {r}^{2} \\ = 3.14 \times ( {12.5)}^{2} \\ = 3.14 \times 156.25 \\ = 490.625 \: {m}^{2} \\ \approx490.63 \: {m}^{2} [/tex]


Related Questions

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 187 kilograms. A d of 3 large boxes and 2 small boxes has a total weight of 87. How much does each type of box weigh? Pls help

Answers

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

 15x+18y=561

-15x-10y=-435

–––––––––––

 0+ 8y= 126

  8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5

Find the 11th term of the geometric sequence 2, -6, 18, ...

Answers

Answer:

-118098

Step-by-step explanation:

Answer: 118098

Step-by-step explanation:

DM

Find the surface area of the cone whose radius and height are 2cm and 4cm respectively

Answers

The result is approximately 40.7 cm^2.

To find the surface area of a cone:

Identify the radius and height of the cone.

Use the formula: Surface Area = [tex]pi* r( r + \sqrt{r^2 + h^2} )[/tex], where r is the radius and h is the height.

Substitute the values: Surface Area = [tex]pi * 2(2 + \sqrt{2^2 + 4^2} ) \\= pi * 2(2 + \sqrt{4 + 16} ) \\= pi * 2(2 + \sqrt{20} ) \\= 2 * pi * (2 + 4.47) \\= 2* pi * 6.47[/tex] ≈ 40.7 cm2.

DEL
GEGEEL
Kaya is getting older and feels like she should donate her collection of stuffed animals to
children who are less fortunate. She has 46 stuffed cats and 10 stuffed dogs, which she
wants to divide into identical groups, with no stuffed animals left over. What is the greatest
number of groups Kaya can place her stuffed animals into?
CUTE
nn
AX​

Answers

Answer:

2

Step-by-step explanation:

The GCF of 10 and 46 is 2. I hope this helps.

Answer:

The most number of groups she can put it into is 2

Step-by-step explanation:

What Kaya is trying to find the it greatest common factor, or the largest number that can be divided from two numbers.

46 -> 1, 2, 23, 46

10 -> 1, 2, 5, 10

We see that the only two numbers other than 1 match is 2.  This means that the GCF or the greatest common factor is 2.

Answer:  The most number of groups she can put it into is 2

Explain how to determine whether the input/output pairs in a table could be related in a linear way.

Answers

Look for patterns in the input and output.

For example
0-0
1- 2
2-4
3-6

So the pattern you see here is increase in 2 each time. So the pattern rule can be that you multiply the input by 2 to get the output.

amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. the width is 2x + 6 centmeters, and is 4/5 of the length. what are the dimensions of the canvas?

Answers

Answer: 15 4/3

Step-by-step explanation:

Final answer:

To find the dimensions of Amanda's rectangular canvas, we use the fact that the width is 4/5 of the length. By setting up an equation and solving for x, we find that x equals 3. Hence, the canvas measures 15 centimeters in length and 12 centimeters in width.

Explanation:

Amanda uses a rectangular canvas for painting where the length is given as 6x - 3 centimeters and the width is given as 2x + 6 centimeters. The width is also said to be 4/5 of the length. To find the dimensions of the canvas, we must set up an equation using the relationship between the width and the length:

The width is 4/5 of the length: (2x + 6) = (4/5)(6x - 3).Multiply both sides by 5 to clear the fraction: 5(2x + 6) = 4(6x - 3).Distribute and simplify: 10x + 30 = 24x - 12.Subtract 10x from both sides: 30 = 14x - 12.Add 12 to both sides: 42 = 14x.Divide by 14 to solve for x: x = 3.

Once we have the value of x, we can find the dimensions of the canvas:

Length: 6x - 3 = 6(3) - 3 = 18 - 3 = 15 centimeters.Width: 2x + 6 = 2(3) + 6 = 6 + 6 = 12 centimeters.

So, the dimensions of Amanda's canvas are 15 centimeters in length and 12 centimeters in width.

Ratios equivalent to 3:2

Answers

Answer:

6:4,9:6,12:8,15:10

Step-by-step explanation:

Ratios equivalent to 3:2

3:2 = 3/2

1st equivalent = 3×2/2×2 = 6/4 = 6:4

2nd equivalent = 3×3/2×3 = 9/6 = 9:6

3rd equivalent = 3×4/ 2×4 = 12/8 = 12:8

4th equivalent = 3×5/2×5 = 15/10 = 15:10

I hope this was helpful, please mark as brainliest

The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a BLUE skittle is pulled from a bag of skittles? (round to the nearest hundredth)

Answers

Answer:

b

Step-by-step explanation:

Answer:

0.21

Step-by-step explanation:

4(2c-8)=16 what is c???

Answers

Answer:

c=6

Step-by-step explanation:

4(2c-8)=16

Divide each side by 4

4/4(2c-8)=16/4

2c-8 =4

Add 8 to each side

2c-8+8=4+8

2c =12

Divide each side by 2

2c/2 =12/2

c=6

Solve for x

-x + 1 = x + 21

Answers

Answer:

x=-10

Step-by-step explanation:

first put "x" on one side and the constants on the other

the equation becomes 2x=-20 or -2x=20

both cases divide by 2 and the answer becomes x=-10

or if you end up with -x=10 just multiply by -1 and it ends up the same

At Billy's Burgers, two bacon cheeseburgers and three orders or curly fries would cost $ 16.45. One order of curly fries and three bacon cheeseburgers would cost $ 16.66. What is the cost of one bacon cheeseburger?
I think I leaned how to do this before but I just can not remember how to do this. Please show me how to do this in steps.

Answers

Answer:

Curly fries=$2.29 per order

Bacon=$4.79 per order

Step-by-step explanation:

let b denote bacon and f denote curly fries.

We represent the situations  using inequalities as:

[tex]2b+3f=16.45\ \ \ \ \ ...i\\\\1f+3b=16.66\ \ \ \ \ ...ii[/tex]

#we make f the subject of the formula in ii and substitute in i:

[tex]f=16.66-3b\\\\\#substitute \ in \ i\\\\2b+3f=16.45\\\\2b+3(16.66-3b)=16.45\\\\\\2b+49.98-9b=16.45\\\\-7b=-33.53\\\\b=4.79\\\\f=16.66-3\times 4.79\\\\=f=2.29[/tex]

Hence, one order of curly fries costs $2.29 and one order of bacon costs $4.79

The ratio of length , breadth,and height of cuboid is 3:2:1.If the volume of the cuboid is 48 cubic meter,find the base area of the cuboid​

Answers

Base area of the cuboid = 24 square inches

Solution:

Volume of cuboid formula = length × breadth × height

Ratio of l : b : h = 3 : 2 : 1

Let us take length be 3x, breadth be 2x and height be x.

Volume of cuboid = 48 cubic meter

length × breadth × height = 48

[tex]3x\times 2x \times x = 48[/tex]

[tex]6x^3=48[/tex]

Divide by 6 on both sides of the equation.

[tex]x^3=8[/tex]

[tex]x^3=2^3[/tex]

Taking cube root on both sides, we get

x = 2

Base area of the cuboid = length × breadth

                                        = 3(2) × 2(2)

                                        = 6 × 4

                                        = 24

Base area of the cuboid = 24 square inches

What is a single decimal?​

Answers

Answer

Decimal is a term that describes the base-10 number system, probably the most commonly used number system. The decimal number system consists of ten single- digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth. Additional powers of 10 require the addition of another positional digit.

A small town had a population 960 people last year. The population grew to 1200 people this year. By what percentage did the population grow?

Answers

Answer:

25%

Step-by-step explanation:

1200/960 = 1.25

So it grew by 25%

-4(x+ 9) = 24

i need my homework done lol .

Answers

Step-by-step explanation:

[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]

Equation and Steps:

-4(x + 9) = 24

-4x + -36 = 24
+36. +36

-4x = 60
-4 -4


Answer: x = -15

A professor surveys his students about their opinions on how well he taught the course. He puts this survey on the last page of
his final exam. Which type of bias will most likely have the strongest effect on the survey results?
Not all students will have the access needed to find the survey
Students may not truthfully reply because they fear it will affect their grade
Students may not understand the wording used in the survey
Not all students will be represented in the survey sample.

Answers

Students may not truthfully reply because they fear it will affect their grade

Answer:

students may not truthfully reply as they fear it will affect their grade

Step-by-step explanation:

Including scholarships and financial aid, Brett has $28,000 to spend on

college. If the total cost of his college education is

he will have

enough resources to pay.

O A. $26,000

O B. $32,000

O c. $29,000

O D. $35,000

SUBMIT

Answers

i’m pretty sure it is A

- 7h + 2(-4h +5) > -4h +1 +10. Solve for h​

Answers

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-11h > 1

Divide both sides by -11.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-11h ÷ -11 < 1 ÷ -11

h < 1/-11

Therefore, h < -1/11

We are given with an inequality and we need to solve for h . So let's start

[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]

[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]

[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]

Add 4h to both sides

[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]

[tex]{:\implies \quad \sf -11h+10> 11}[/tex]

Subtracting 10 from both sides ;

[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]

[tex]{:\implies \quad \sf -11h-1> 0}[/tex]

Adding 1 to both sides

[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]

[tex]{:\implies \quad \sf -11h>1}[/tex]

Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;

[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]

How does knowing how to find the area of a
rectangle help you determine the area of other
polygons?​

Answers

Answer:

https://w w w .y o ut u b e. c o m / wa tc h ?v =z 5  0C 1b 2s O5 M

Answer: maybe divide the rectangle

Step-by-step explanation:

To find the answer of polygen

(I flipped the coins already)
Instructions In this experiment, you will be using two coins as a simulation for a real-world compound event. Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

1 What is the theoretical probability that the family has two dogs or two cats? Describe how to use two coins to simulate which two pets the family has.

Flip both coins 50 times and record your data in a table like the one below. Result Frequency Heads,

Heads Heads, 9

Tails Tails,26

Heads Tails,26

Tails 15

Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

How could you change the simulation to generate data for three pets?

Thank you for your help!!

Answers

Answer:

tails tails 26

Step-by-step explanation:

because the coins might not have different sides the probability of the coin landing on the same side 26 times is understandable

hope this helps

Answer:

Step-by-step explanation:

are you doing flvs? if you answer i can delete thi and help you. i mau be able to help ya out..

Please answer ASAP!! Thank you in advance, and remember to wash your hands consistently for 1 minute with antibacterial soap.

Answers

Answer: t= 15

Step-by-step explanation:

1/4t= 3 3/4

Make 3 3/4 as an improper fraction:

15/4

Multiply:

t= 15/4 x 4/1

=60/4

t=15

2. I pay $4.00 for my train fare everyday. This week, my train
fare is increased by 10%. What is my new train fare?
(100% of $4,00) + (10% of 4.00 )
[tex](100 \div of \:80) + (15 \div of \:80)[/tex]

Answers

Answer: the correct option is (100% of $4) + (10% of $4)

Step-by-step explanation:

Check:

100% of $4

= 100/ 100 x 4

= $4, which is stated as the everyday train fare

10% increase = 10/100 × 4

= 0.1 × 4

= $0.4

New train fare = $4 + $0.4

= $4.4

I hope this helps, please mark as brainliest.

(6.25)(1.6) what is the answer

Answers

          6.25     Multiply.

x             1.6

▬▬▬▬▬▬▬▬

                10

Therefore, 10 is our answer.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Learn more:

Multiplying decimals: https://brainly.com/question/13786600

Answer:

10

Step-by-step explanation:

A few changes were made while calculating the product of 6.25 and 1.6.

⇒ (6.25)(1.6) = 6.25 × 1.6

Now, let's calculate the product using long multiplication. (refer to attachment).

At a lake, there are 2 boat rental shops. Shop A charges $210 for a 4-hour rental, and shop B charges $246 for a 6-hour rental. a. Which shop charges more per hour? b. How much more expensive is this shop? Explain how you figured out your answer (thought process). 1
explain in your own words no googling..plz

Answers

Answer:

  Shop A is more expensive by $11.50 per hour

Step-by-step explanation:

I solved this three ways.

1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...

  Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours

  = $210 +105 = $315 . . . for 6 hours

This is way more than what Shop B charges for 6 hours.

__

2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.

__

3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.

  Shop A = $210/(4 h) = $52.50 /h

  Shop B = $246/(6 h) = $41.00 /h

The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.

_____

Comments on How Much More

* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.

Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.

If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.

Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.

A box is known to hold exactly 125 in3. Which side dimensions produce the most accurate measurement of the box?

Answers

Answer: 25 and 5 sowwy if i'm wrong.

Step-by-step explanation:

So we know that the box is 125 in3. What ___ times ____ is equal to = 125

So we should name the multiples of 125 which is : 1,5,25,125

25 times 5 is = 125 so there's your answer.

Answer:

4.9 x 5.1 x 5.0

Step-by-step explanation:

I just had this question

Jack has x pence,
Jill has 6 pence less than Jack.
Write down, in terms of x, the number of pence Jill has.

Answers

Final answer:

The amount of pence Jill has is written as x - 6, where x is the amount of pence Jack has.

Explanation:

If Jack has x pence, and Jill has 6 pence less than Jack, then the number of pence Jill has is x - 6. To express this in terms of x, we simply subtract 6 from x. So if Jack's amount of pence is represented by x, Jill's amount will be represented by the expression x - 6. It's similar to saying that if you have a certain number of something and someone else has 6 less, you would calculate the other person's amount by taking the number you have and subtracting 6 from it.

The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 4 vans and 6 buses with 360 students. High
School B rented and filled 3 vans and 3 buses with 195 students. Every van had the same
number of students in it as did the buses. Find the number of students in each van and in each
bus.

Answers

Use elimination or substitution here
Make children in vans variable V and buses B
4v + 6b =360
-2(3v + 3b = 195) > I multiplied it by -2 so the bs can cross out and I can find the value of v
4v + 6b = 360
-6v -6b = -390
Add straight down
-2v = -30 )))))) v= 15
Now plug in 15 for v in one of the equations above and solve for b
Best of luck!

What is the area of the figure?

Answers

Answer:

48

because area is length time with but because the base is a triangle you have to find the area of the triangle then times it with the width that you have

Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type of animal are there?

Answers

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

Answer:

chickens is represented by C, and the number of goats is G.

C=18

G=20

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

What is the GCF of 96x^5 and 64x^2?

Answers

The GCF of the monomials are 32x^2
Other Questions
I need help solving algebra equations to teach my kid. D-4=12.4 D=? Many at the continental congress were skeptical of allowing presidents to be directly elected by the legislature because ________. "Privacy is a basic human right enshrined in law. Regardless of risk, the majority cannot strip a person of their constitutionally protected freedoms. We are therefore morally obligated to preserve privacy." What kind of ethical reasoning is being employed in this argument A 3-year annual coupon bond has coupons of $12 per year starting one year from now and matures in 3 years for the amount $100. The yield to maturity is 11.8% (annual effective). Find the Macaulay duration of the bond. What is the value of x in sin 29 = cosx?29 degrees61 degrees1 degree151 degrees The code name for the D-Day invasion was Operation Exterminate.TrueFalse Solve for d555. -38d -57 > -19d + 76 Please help me with this: Create 20 bullet points specifically about energy exchanges in Earth's systems. Also, it doesn't have to be in 20 bullet points as long as it is about energy exchanges in Earth's systems in full paragraph that is fine too. Andrew initially worked with a travel website for few months and then became self-employed by starting a martial arts school, where he taught karate to teenagers. After an year, he closed the school and joined an advertising firm. After two years, he quit the advertising firm and became self-employed as a freelance music composer. Which of the following terms indicates the changes in Andrew's employment structure?A. Volatility.B. Adverse possession.C. Bootstrapping.D. Easement.E. None of the above. How do my choices today affect my life tomorrow ? 9C9=What is the answer? A student stands a distance L from a wall and claps her hands. Immediately on hearing the reflection from the wall she claps her hands again. She continues to do this, so that successive claps and the sound of reflected claps coincide. The frequency at which she claps her hands is f. What is the speed of sound in air? is is false or true The closer objects are, the stronger the gravitational force between them. Energy for Life Some bacterial pathogens only cause disease when injected into tissue and are not able to grow or cause disease on skin or other surface-exposed regions. One example is Clostridium tetani (tetanus). Which type of metabolism would you expect these pathogens to use? When Colgate offers Colgate Total, which provides 12-hours of germ fighting; Colgate Max Fresh, which fights bad breath; and Colgate Sensitive Pro-Relief for people who have sensitive gums, they are segmenting based on ________. 3. It is known that 80% of all college professors have doctoral degrees. If 10 professors are randomly selected, find the probability that a. five have a doctoral degree b. fewer than 4 have doctoral degrees. c. At least 6 have doctoral degrees. d. Between 5 and 7 (inclusive) have doctoral degrees. e. What is the expected number of college professors with doctoral degrees A magnesium atom undergoes a chemical reaction in which it becomes an ion with charge 2+. This means that the atom haschanged byA.losing two electrons, two protons, and two neutronsB.gaining two protonsC.losing two electronsD.losing two electrons and two neutronsE. losing two neutrons and gaining two protonsResetSubmit In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.3 and a standard deviation of 2.5. Answer parts (a)dash(d) below. (a) Find the probability that a randomly selected study participant's response was less than 4. The probability that a randomly selected study participant's response was less than 4 is nothing. (Round to four decimal places as needed.) Calculate the friction of the person on ski. We use the situation from example 5.1 "Skiing Exercise" from the text book, but we change the slope to 15 degrees. Tips: - The gravity force of the person is 608 N. - You first have to calculate the perpendicular component of the gravity force. This is also the normal force. Which scientific tool is most useful when trying to convert a known amount of grams of water to moles of water?