A circular fountain has 132 feet of railing around it. What is the area of the fountain to the nearest square foot? Use 3.14 for π. *

Answers

Answer 1

Answer:

139

Step-by-step explanation:

First we need to find diameter 132/3.14=42 rounded

Then we halve it to find radius 42/2=21

Formula for area is radius x radius x 3.14

21 x 21 = 441 x 3.14 = 138.74 round up is 139

Answer 2

Answer:

18.8 feet, 59.1 feet to the nearest tenth

Step-by-step explanation:

The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.

The diameter D = 2r where r is the radius of the circle

The circumference = 2Πr = ΠD where Π = 22/7

Given that the circular fountain has a radius of 9.4 feet

Its diameter =  2 × 9.4 feet = 18.8 feet

The circumference = 22/7 × 18.8 feet

=59.09 feet

≈ 59.1 feet to the nearest tenth


Related Questions

What is the fraction equivalence of 4.8?

Answers

Answer:

48/10

Step-by-step explanation:

The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?

Answers

The cost of membership at gym A can be written as:
c
a
=
$
10
m
+
$
15
The cost of membership at gym B can be written as:
c
b
=
$
4
m
+
$
40
Where
c
g
y
m
is the cost after
m
months.
To find when the cost is equal, equate the right side of both equations and solve for
m
:
$
10
m
+
$
15
=
$
4
m
+
$
40
Next, subtract
$
15
and
$
4
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:

$
4
m
+
$
10
m
+
$
15

$
15
=

$
4
m
+
$
4
m
+
$
40

$
15
(

$
4
+
$
10
)
m
+
0
=
0
+
$
25
$
6
m
=
$
25
Now, divide each side of the equation by
$
6
to solve for
m
while keeping the equation balanced:
$
6
m
$
6
=
$
25
$
6
$
6
m
$
6
=
$
25
$
6
m
=
25
6
m
=
4.17
At 4 months the cost of the two gym memberships will be about the same.

There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?

Answers

There are 60 more girls

A triangle has vertices on a coordinate grid at P(-10,1)P(−10,1), Q(-10,-7)Q(−10,−7), and R(-5,-7).R(−5,−7). What is the length, in units, of \overline{PQ}

PQ



?

Answers

Answer:

Step-by-step explanation:

Given the following coordinates of a triangle

P(-10,1)

Q(-10,-7)

R(-5,-7)

Required

Length of PQ

PQ = √(y2-y1)²+(x2-x1)²

From the coordinate;

x1 = -10, y1 = 1, x2 = -10 y2 = -7

Substitute

PQ = √(-7-1)²+(-10-(-10))²

PQ = √(-8)²+0²

PQ = √64

PQ = 8units

Hence the length of PQ in units is 8units

what is the area of a rectangle that has a height of 7x^2 and a width of 3x^2+8x+7​

Answers

Answer:

21x^4 + 8x + 7

Step-by-step explanation:

This is the answer because:

1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.

2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.

3) The rest of the numbers are not like terms.

4) Therefore, the answer is 21x^4 + 8x + 7

Hope this helps!

3³ - (60 - 10) + 8

Answers

Answer:

According to the Google calculator, the answer is -15

Based on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD

Answers

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

PLATO

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

edmentum

A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form

Answers

Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

For more about the linear function,

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V = u + at
u=2 a=-5 t=
Work out the value of v.​

Answers

Answer:

You may want to check your question but I've solved various circumstances. Please mark as brainliest :-)

Step-by-step explanation:

[tex]v = 2 - 5t [/tex]

Although, I think you're meant to find time(t) making velocity (v) =0. So,

[tex]0 = 2 - 5t \\ - 2 = - 5t \\ t = - 2 \div - 5[/tex]

If time is 0, then,

[tex]v = 2 - 0 \\ v = 2[/tex]

V=2+(-5)t
V=2-5t
V=-3t

Can anybody help me with this?

Answers

Answer:

Ah yes that is a reflection because all of the points were reflected on the y axis

Which equation represents the polar form of x – y = 0?

A. θ = 0
b. Theta = pi/4
c. Theta = 3pi/4
d. θ = π

Answers

Your question: "Which equation represents the polar form of x – y = 0?"

Answer:

b. Theta = pi/4

We want to write an equation that represents the polar form of:

x - y = 0.

We will see that the correct option is b, the polar form is given by:

θ = pi*/4

First, polar form is a way to write equations using radius and angle as variables, instead of the known x and y that we usually use.

To change the variables we have the general rule:

R = √(x^2 + y^2)

θ = Atan(y/x)

So here we have:

x - y = 0.

Then we can write this as:

x = y.

Then the angle is given by:

θ = Atan(y/x) = Atan(x/x) = Atan(1) = 45°

Writing this in radians we get:

45° = 45°*(pi/180°) = pi*/4

Then we have:

θ = pi*/4

Then the equation that represents the polar form is:

θ = pi*/4

From this, we can see that the correct option is b.

If you want to learn more, you can read:

https://brainly.com/question/20864390

The length of a rectangular dog run is 2 feet more than twice the width, w, and the perimeter of the dog run is 32 feet. Solve the equation
2w + 2(2w + 2) = 32 to find the width, w, of the dog run. Then find the length, 2w+2, of the dog run.

Answers

Answer:

The width is:

width = 4.7 feet

The length is:

length = 11.3 feet

Step-by-step explanation:

Given the equation

[tex]2w\:+\:2\left(2w\:+\:2\right)\:=\:32[/tex]

[tex]2w+4w+4=32[/tex]          ∵ [tex]a\left(b+c\right)=ab+ac[/tex]

Add similar elements: 2w+4w=6w

[tex]6w+4=32[/tex]

subtract 4 from both sides

[tex]6w+4-4=32-4[/tex]

[tex]6w=28[/tex]

Divide both sides by 6

[tex]\frac{6w}{6}=\frac{28}{6}[/tex]

[tex]w=\frac{14}{3}[/tex]

Hence, the width is:

[tex]w=\frac{14}{3}[/tex]

w = 4.7 feet

Therefore, the width is: 4.7 feet

As the length is:

2w+2 = 2(14/3)+2

          = 28/3 + 2

           = 34/3

            = 11.3 feet

Therefore, the length is: 11.3 feet

SUMMARY:

The width is:

width = 4.7 feet

The length is:

length = 11.3 feet

Solve for the value of c.​

Answers

Answer:

c = 11

Step-by-step explanation:

2c+8+6c-6 = 90 ( the angle measure of the two angles)

8c+2 = 90

8c = 88

c = 11

33.366 divided by 6.7

Answers

Answer:

Step-by-step explanation:

33.366/6.7=  4.98

How to find probability of P(1)

Answers

Answer:

I need more context, can you take a screenshot of the actual question or something.

Step-by-step explanation:

Which graph represents the solution set of the inequality

-3b - 15 > - 24

(Choose 1 answer)

Answers

Answer:

A

Step-by-step explanation:

b<3

The solution graph of the given inequality is graph 1.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given that, an inequality -3b - 15 > - 24, we need to graph its solution,

-3b - 15 > - 24

Add 15 both sides,

-3b-15+15 > -24+15

-3b > -9

b < 3

Since, the sign does not include equal to (> or <), the circle will be unfilled.

And the solution will be all the number less than 3,

Therefore, the graph with the unfilled circle, having the arrow with head facing left will be the solution.

Hence, the solution graph of the given inequality is graph 1.

Learn more about inequality click;

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answer and show work

Answers

Answer:

3x+2/4>-20

3x+2>-80

3x>-80-2

3x>-82

x>-82/3

Also simplified to, x>-27 1/3
B is the correct answer

what is the answer for 6.8×10² ​

Answers

Answer:

680

Step-by-step explanation:

Answer:

680

Step-by-step explanation:

10 to the  2nd power is 10 times 10 which is 100.

Now, 6.8 times 100 is 680.

Hope this helps you!!

Help stat please.Brainlist for the best ansmwer

Answers

Answer:

(-9/8)x-7=-25
Multiply both sides by 8
-9x-56=-200
Move the constant to the right
-9x=-200+56
-9x=-144
-9x/-9=-144/9
x=16

A shop sells orange juice in the following ways:

500 ml bottle for £1.15
1.5 l carton for £2.70 each or 2 cartons for £5
3.5 l carton for £5.75

What's the cheapest way of buying exactly 9 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 9 litres.

Answers

Answer:

The cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.

Step-by-step explanation:

To obtain the cheapest way to buy 9 liters of orange juice, the cost per liter of each type of container must be determined:

500 ml bottle = £1.15 (£2.30 per liter)

1.5 l carton = £2.70 (£1.80 per liter)

2 cartons of 1.5 l = £5 (£1.66 per liter)

3.5 l carton = £5.75 (£1.64 per liter)

Thus, there is in principle a staggered way to buy the drink: 2 cartons of 3.5 liters, plus 1 carton of 1.5 liters, plus 1 bottle of 500 ml, which would add up to a total cost of £15.35 (5.75 x 2 + 2.70 + 1.15) .

Now, you could also take advantage of the promotion of 2 cartons of 1.5 l at £5, with which buying 3 of these promotions would acquire the 9 liters of drink (1.5 x 2 x 3) at £15 (3 x 5).

Thus, the cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.

Richard invests $230.92 every month into his mortgage. At the end of 30 years, he has a balance of $184,033.06. What interest did he make over 30 years?

Answers

The answer is $101,233.06

Richard made $100,719.46 in interest over 30 years on his mortgage.

To calculate the total interest Richard made over 30 years, we need to find the total amount he invested and then subtract that from the final balance.

Richard invests $230.92 every month for 30 years, which is a total of:

Total investment = 30 years * 12 months/year * $230.92/month

Total investment = $230.92 * 360

Total investment = $83,313.60

Now, we can calculate the interest earned by subtracting the total investment from the final balance:

Interest = Final balance - Total investment

Interest = $184,033.06 - $83,313.60

Interest = $100,719.46

Therefore, Richard made $100,719.46 in interest over 30 years on his mortgage.

To know more about interest:

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Three letters are randomly chosen from the word PROBABILITY. What is the probability that one of the letters is P?

Answers

There are 11 characters (X/11) and one of these characters is P (1/11)

The answer is 1/11

Answer:

If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.

Hope this helps and if you could mark me as brainliest. Thanks!

In △ABD, DG=40 in.
What is the length of DF?

Enter your answer in the box.

Answers

Answer:

60. GF=20 so add those together

Step-by-step explanation:

Answer:60in

Step-by-step explanation:

can someone tell me if I’m right or wrong
I got x=5,-5,i,-i on a calculator
But the answer choice has 1

Answers

Answer:

For that particular polynomial your answer would be

x1=-5, x2=5

Answer:

B: [tex]-5, 5, i[/tex]

Step-by-step explanation:

The roots are [tex](x-5)(x+5)(x^{2}+1)[/tex] according to my TI-89 calculator.

WILL MARK BRINLIST Which pairs of angles are congruent because they are vertical angles? Check all that apply. 7373 34 56 21 and 24 pls don't joke ​

Answers

Answer:

B, D represent pairs of vertical angles.

___

Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.

- sqdancefan

Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer

Answers

Slope (m)= y\x= 9/2 = 4.5

your equation for the line is

y=4.5x+3.5

You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 3 years, how much will you need to pay each month (assuming you don't charge anything new to the card)?

Answers

Answer:

Step-by-step explanation:

2000*17%=340

2000+340=2340

2340/4*12= 48.75

Help plz !!!!!!!!!!!!!!

Answers

Answer:

88

Step-by-step explanation:

Hope this helps

plzz mark brainliest

the answer would be 88:)

A particular asteroid moves at a speed of 55,000 miles per hour . How many hours will it take the asteroid to travel a distance of 4.62x 10^5 miles ?

Answers

Answer:

8.4 hours

Step-by-step explanation:

Given that:

Speed of asteroid = 55000 miles/hr

Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles

We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.

Formula for speed can be given as following:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

OR, the formula for time in terms of speed and distance can be given as following:

[tex]Time= \dfrac{Distance}{Speed}[/tex]

Putting the given values in the formula to find the Time:

[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]

31 = 9/3+6 solve the equation

Answers

Answer:

This question doesn't really make sense...

Step-by-step explanation:

Please try to correct it.

Answer:

9 is the answer

Step-by-step explanation:

1. 31 = 9/3+6 <------- This is the original equation.

2. 31 = 3+6    <------- Simplify the fraction.

3. 31 = 9        <-------- This is the final answer.

Hope this helps! I did the best I could. :)

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