A circular fountain has a radius of 6.8 feet. Find its diameter and circumference to the nearest hundredth. Use 3.14 for π.

Answers

Answer 1

The diameter of the circular fountain is 13.6 feet, while its circumference is 21.352 feet to the nearest hundredth.

To find the diameter and circumference:

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 a circle.

Diameter, D = 2r

where r is the radius of the circle

Circumference = 2πr = πD

where π = 3.14

Given that the circular fountain has a radius of 6.8 feet

Diameter =  2 × 6.8 feet = 13.6 feet

Circumference = 3.14 × 13.6 feet

Circumference = 21.352 feet (to the nearest hundredth)

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Related Questions

A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?

Answers

Answer:

135

Step-by-step explanation:

9 x 15 = 135

The total number of the golf ball in all buckets is 135 balls using multiply system

Multiply based problem:

What information do we have?

Number of buckets = 9

Number of golf ball in each bucket = 15

Total number of golf ball in all buckets = Number of buckets × Number of golf ball in each bucket

Total number of golf ball in all buckets = 9 × 15

Total number of golf ball in all buckets = 135 balls

Find out more information about 'Number of ball'.

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What is the 8th term of the sequence 12, 17, 22, 27, 32,…?
A. 47
B. 42
C. 52
D. None of these choices are correct.

Answers

Answer:

A. 47

Step-by-step explanation:

Hope it helps! If you want an explanation, ask in the comments and I'll give you one!

A.47
The 6th term is 37
The 7th term is 42
The 8th term is 47

T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6

5. Using k as the constant of variation, which of the following is the equation of variation?
A. T=
\frac{kp {}^{2} }{z}
z
kp
2



B. T=
kpz {}^{2}kpz
2

C. T=
\frac{kz}{p {}^{2} }
p
2

kz


D. T=
\frac{pz {}^{2} }{k}
k
pz
2




6. Which of the following is the value of the variation constant:
A. 6
B. 8
C. 10
D. 12

7. Which of the following is twice the value of T when P=9 and Z=6?
A. 108
B. 216
C. 54
D. 36

Answers

Answer:

A. [tex] T= \frac{KP^2}{Z}[/tex]

D. K = 8

B. 216

Step-by-step explanation:

Q. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6

Solution:

According to the given information:

T varies directly as the square of P.

[tex] T\alpha P^2..... (1)[/tex]

T varies inversely as Z.

[tex] T\alpha \frac{1}{Z} ..... (2)[/tex]

Combining equations (1) & (2)

[tex] T\alpha \frac{P^2}{Z}[/tex]

[tex] T= \frac{KP^2}{Z}[/tex]

(Where K is proportionality constant)

(This is the equation of variation)

Plug T=12, P=3 and Z=6 in the above equation of variation, we find:

[tex] 12= \frac{K(3)^2}{6}[/tex]

[tex] 12= \frac{K\times 9}{6}[/tex]

[tex] K= \frac{12\times 6}{9}[/tex]

[tex] K= \frac{72}{9}[/tex]

[tex] K= 8[/tex]

So, the value of the variation constant = 8

Next, plug P=9, Z=6 and K = 8 in the above equation of variation, we find:

[tex] T= \frac{8(9)^2}{6}[/tex]

[tex] T= \frac{8\times 81}{6}[/tex]

[tex] T= \frac{648}{6}[/tex]

[tex] T= 108[/tex]

[tex] 2T= 2\times 108[/tex]

[tex] 2T= 216[/tex]

So, 216 is twice the value of T.

when doing the increasing function do we use the exact point?

Answers

Answer:

Step-by-step explanation:

According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Hope this helps!!

Pl help it’s for a grade

Answers

Answer:

c

Step-by-step explanation:

math help pls tsnsnnsnsshs

Answers

Answer:

68°

Step-by-step explanation:

90°(right angle)-22°(angle 5 measurement) = 68°

solve

1. 1/3n=4
what is n?

Answers

See the photo attached below

Classify each special right triangle in the length ratio of (Side1 : Side2 : hypotenuse)

Answers

Answer: i added a pic of the answers

Step-by-step explanation:

Evaluate using logarithm table, log (0.65)

Answers

The answer is -0.18708664335

Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $184, $35, $92, $142, $175, $9, and $57. Let yi denote the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):

a. ∑y
b. (∑y)^2
c. ∑y^2

Answers

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]

Please Help, 20 points and brainiliest, URGENT.

Answers

Answer:

Step-by-step explanation:

∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.

∠D = ∠B

∠A = ∠E

△ABC and △EDC are similar because they have the same angles.

Drag steps into order to correctly solve the equation x−27=62 for x.

Answers

Answer:

x - 27 + 27 = 62 + 27

x - 0 = 89

(annex rule)

x = 89

Step-by-step explanation:

please mark brainlist

Start with the middle box on top row (adding 27 to both sides), then top-left box (x=89)

Is borrowing money a

Delegated power
Reserved power
Concurrent power

Answers

I believe that it is a concurrent power

Answer:

C. concurrent power

Step-by-step explanation:

Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.

1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?​

Answers

Answer:

10/100 = x/125

1250 = 100x

1250/100 = 100x/100

12.5 = x

125 - 12.5 = 112.5

the sale price is $112.5

A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 3 workers has the same chance of being selected as does any other group (drawing 3 slips without replacement from among 24).

Required:
a. How many selections result in all 5 workers coming from the day shift?
b. What is the probability that all 5 selected workers will be from the day shift?
c. What is the probability that all 5 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?

Answers

Answer:

252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347

Step-by-step explanation:

A.)

n = 10 ; r = 5

Required outcome :

nCr = n! ÷ (n-r)!r!

10C5 = 10! ÷ (10-5)!5!

(10*9*8*7*6) / (5*4*3*2*1)

= 252

B.)

Total possible outcome : 24C5 = 42504

P(all will be from day shift) = 252 / (24C5) = 0.00593

C.)

P(all will be from the same shift) :

[(10C5)+(8C5)+(6C5)] ÷ 24C5

(252 + 56 + 6) / 42504 = 0.0074

D.)

Probability that at least 2 different shift will be represented :

1 - P(all will be from the same shift)

1 - 0.0074 = 0.9926

D.)

Probability that atleast one of the shift will be unrepresented :

(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)

[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5

(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504

= 14748 / 42504

= 0.347

answer asap please!!

Answers

Answer:

61.6 units

Step-by-step explanation:

C (-8,-10)

D (8,10)

E (-8,10)

find the distance between the following points

CD = 25.6

DE = 16

EC = 20

Add them all up

61.6 units

Which statement is true about compound interest?

The interest is figured on the principal only.
The amount in the account grows slower than with simple interest of the same rate.
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.

Answers

THE LAST OME IS CORRECT !!!

Compound interest is  the interest calculated using the principal and the interest over a period of time.

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + rn)^{nt}[/tex]

P = principal

r = rate

t = time in years

n = number of times compounded in a year.

We have,

The interest is figured on the principal only.

This is not true because we calculate the compound interest on the interest as well.

The amount in the account grows slower than with simple interest of the same rate.

This is not true because we are calculating the interest on the principal and interest together.

The amount with compound interest will be more than the amount with simple interest.

The interest can be compounded over different time intervals.

This is true because we can have different time intervals such as,

monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.

The interest in most banks is not calculated using compound interest.

This is true because banks don't calculate using compound interest.

Thus,

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

Learn more about compound interest here:

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D'Andre earns some money by helping people with their yards. It takes him an average of 2 hours to weed a flowerbed and an average of 1.5 hours to mow and edge a lawn. He can work no more than 6 hours a day. He charges $60 to weed a flowerbed and $75 to mow and edge a lawn. He needs to cover his expenses of $150 to make a profit. Write a system of inequalities that would help determine how many flowerbeds and lawns he could complete on a given day.
______________________________
plz help its due like rn so I'll give brainliest ​

Answers

Answer:

3 flowerbeds and 5 lawns.

Step-by-step explanation:

I promise.

Components used in a cellular telephone are manufactured with nominal dimension of .3 mm and lower and upper specification limits of .295 mm and .305 mm respectively. the x bar and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x bar chart at .3015 mm and the center line of the R chart at .00154 mm.
a) Estimate the mean and standard deviation of this process.
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Xbar = 0.3015 ; Rbar = 0.00154

USL = 0.295 ; LSL = 0.305

For a subgroup size of 3 ; k = 3 ; d2 = 1.693

The mean = xbar = 0.3015 mm

The standard deviation = Rbar / d2 = 0.00154 / 1.693 = 0.0009096

b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3015) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3015) / 0.0009096 = 3.847

1 - P(Z < 3.847)

1 - 0.99994

= 0.00006

0.00006 should be reworked.

c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Recommended mean = 0.3000 mm

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3000) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3000) / 0.0009096 = 5.497

1 - P(Z < 5.497)

1 - 0.99997

= 0.00003

0.00003 should be reworked.

Find the perimeter, in inches, of the parallelogram

Answers

perimeter of a parallelogram

= 2(l + b)

= 2(8 inches + 6 inches)

= 2(14 inches)

= 28 inches

28 inches

Step-by-step explanation:

length = 8 inches breadth = 6 inchesperimeter of parallelogram = 2 ( length + breadth )= 2( 8 + 6 )= 2 ×14= 28 inches

MARK ME AS BRAINLIST

Find the slope of the line that passes through (1, 14) and (4,10),
Simplify your answer and write it as a proper fraction, improper fraction, or integer,

Answers

the slope is -4/3. 14-10=4, 1-4=-3

Answer: the slope is -4/3

Step-by-step explanation:

12.5(7) + 11.9(8)=?


Answers

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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2/4 - 1/4 please hep i know im not that good
for asking this

Answers

Since they have equal bases you can subtract it like a regular number. 2-1 equals 1 so the answer would be 1/4

20 PTSS !!!
PLEASE HELPP !!

Answers

Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).

So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.

Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.

The area is 150 square units

Define Love in 10 words. Don't me with this question rn XD

Answers

Answer:

uh...love is when you feel a certain way around someone

Step-by-step explanation:

Help needed with this

Answers

Answer:

Choice 3 is not a function.

For a set of coordinates to be a function, there must be exactly one y-value for every x-value.

For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.

This means, that choice 3 is NOT a function.

Let me know if this helps!

which integer is 3 less than 7

Answers

Answer:

b

Step-by-step explanation:

Ally bought 5 different cakes for her birthday. His friends ate 3 1/4 of the amount of cake. Then he gave 1/2 of the cake to his grandmother. How much cake does Ally have left?

Answers

Answer:

7/8 of a cake

Step-by-step explanation:

4 4/4 - 3 1/4 = 1 3/4

7/4 x 1/2 = 7/8

What are three fractions that are equivalent to 1.

Answers

2/2 , 3/3 , 4/4 ( anything over its self)

1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises?

Answers

It rises 11 degrees

Step by step explanation
Other Questions
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