The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?

Answers

Answer 1

Answer:

22 feet

Step-by-step explanation:

Area of circle = pi(r²)

the square root of 121 is 11, so r = 11

d = 2r

d = 22


Related Questions

Find the surface area and volume of the figure.


(Round to the nearest teeth as needed)


Answers

Answer:

Volume;

Let's find the volume of the hemisphere above,

Formula for hemisphere volume:

V = 2/3πr

Where pi(π) is 22/7 or 3.14, and 'r' is the radius.

(extra info:) D/2 = radius

So, diameter in this case is 6,

6/2 = 3 is the radius.

Replace values:-

V = 2/3πr

V = 2/3 x 3.14(3)

V = 2/3 x 9.42

V = 18.84/3

V = 6.28 feet is the volume for the hemisphere.

Now the cylinder's volume,

Cylinder volume formula:

V = π[tex]r^{2}[/tex]h

Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.

Replace values (we figured out radius is 3);

V = π[tex]r^{2}[/tex]h

V = 3.14(3^2) x 10

V = 3.14(9) x 10

V = 28.26 x 10

V = 282.6 feet is the volume of the cylinder.

Add our volumes:-

6.28 + 282.6

= 288.88 feet is our volume.

Surface area;

Now the surface area formula of the cylinder is:

SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)

Replace values:

SA = 2πrh + 2π[tex]r^{2}[/tex]

SA = 2(3.14) x 10 + 2(3.14) x 3^2

SA = 6.28 x 10 + 6.28 x 9

SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.

Now the surface area formula of the hemisphere;

SA = 3πr²

Replace values;

SA = 3πr²

SA = 3(3.14) x 3^2

SA = 9.42 x 9

SA = 84.78 is the surface area of the hemisphere.

Add the areas;

119.32 + 84.78

= 204.1 feet is the surface area.

WILL GIVE BRAINLIEST!!!JUST HELP PLEASE!

Answers

Answer:

uhhh… i dunno

Step-by-step explanation:

sry i cannot help u w/ this

Can u just put brainliest for this pls?

Thanks!

Answer:

0.5

Step-by-step explanation:

x + y = 1

y = 1 - x

f(x) = 1 - x

it is from 0 to 1

integral from 0 to 1 of (1 - x) dx

integral 1 dx - integral x dx

integral 1 dx = x

integral x dx = x²/2 by power rule

so the final integral is x - (x²/2)

now from 0 to 1

1 - (1²/2) - 0 - (0²/2)

1 - (1²/2) = 0.5

0 - (0²/2) = 0

0.5 - 0 = 0.5

(hope I could help and sorry about lateness :))

Is the figure defined by points H, I, J, and K a rhombus?

Yes, HIJK is a rhombus. Based on the coordinates, opposite sides are parallel, and all sides are congruent.
No, HIJK is NOT a rhombus. Based on the coordinates, opposite sides are parallel, but all sides are not congruent.
No, HIJK is NOT a rhombus. Based on the coordinates, all sides are congruent, but opposite sides are not parallel.
Yes, HIJK is a rhombus. Based on the coordinates, opposite sides are not parallel, and all sides are not congruent.

Answers

Answer:

b

Step-by-step explanation:

hi, please answer the question, show your work

Answers

Step-by-step explanation:

3200 = 100%

2848 = ?%

2848 ÷ 3200 then × 100

= 89%

so 2848 = 89%

Answer:

89%

Step-by-step explanation:

3200/2848=0.89

To turn into a percentage multiply by 100

So 0.89*100=89%

help me pleaseeeeeeeeee ​

Answers

for 2 points A(xa;ya) and B(xb;yb)

the slope is (yb - ya) / (xb - xa)

here

the slope = 4 = (17-r) / (4-(-1))

(17-r) / 5 = 4

17 - r = 20

r = 17 - 20

r = - 3

point (-1 ; -3)

NO LINKS!!! Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?

Answers

Answer: C

Step-by-step explanation:

let f(x)=3x+4 and g(x)=2x-5 find (f+g)(x)

Answers

Answer:

(f+g)(x) = 5x - 1

Step-by-step explanation:

Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)

f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)

(f+g)(x) =

f(x) + g(x)

3x + 4 + 2x - 5 (combine like terms)

5x - 1

Therefore, (f+g)(x) = 5x - 1

Hope this helps!

Answer:

5x -1

Step-by-step explanation:

(3x + 4) + (2x - 5) = 3x + 4 + 2x - 5 = 3x + 2x + 4 - 5

5x - 1

Four eighths of kelly’s beads are red, 18 are white, and the rest are blue.
what fraction of kelly’s beads are blue?

Answers

4/8=1/2 so Kelly blue beads are also 4/8. Sorry if I’m wrong.

Erin wants to fill the jewelry box with beads. One package of beads is 120 cubic inches. How many packages of beads should Erin purchase to fill the jewelry box completely?

Answers

Answer:

9 packages of beads

Step-by-step explanation:

volume of cuboid = area of base × height

⇒ volume of jewelry box = (15 × 12) × 6

                                          = 180 × 6

                                          = 1080 in³

Given:

1 package of beads = 120 in³

Number of packages of beads = volume of box ÷ volume of 1 package of beads

⇒ Number of packages of beads = 1080 ÷ 120

                                                        = 9

) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.

(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________

Answers

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

Height of ravine = 100 feet.

How to calculate the length of rope.

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

FIRST TO ANSWRR GETS 30 POINTS!

A jewellery shop is having a sale.

A bracelet is now reduced to £420.
This is 70% of the original price.

a) Work out the original price of the bracelet.

A ring is now reduced to £840.
This is a saving of 40% of the original price.

b) Work out the original price of the ring.

Answers

Answer:

a) £600

b) £1400

Step-by-step explanation:

a)  Set up a ratio of price to percentage of original price.

Let x = original price

⇒ £420 : 70 = £x : 100%

[tex]\sf \implies 420 : 70 = x : 100[/tex]

[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]

[tex]\sf \implies x=600[/tex]

Therefore, the original price of the bracelet was £600

b) Set up a ratio of price to percentage of original price.

If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%

Let x = original price

⇒ £840 : 60% = £x : 100%

[tex]\sf \implies 840 : 60 = x : 100[/tex]

[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]

[tex]\sf \implies x=1400[/tex]

Therefore, the original price of the ring was £1400

Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point

Answers

The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.

How to calculate the distance?

The distance covered by the spy in t hours will be calculated thus:

= 60 × t

= 60t

The distance covered by the special agent in t hours will be:

= 90 × t

= 90t

The difference in the distance between them every hour will be:

= 90t - 60t

= 30t

The distance between the spy and special agent when the chase begins will be:

= (2 × 60mph) - 0

= 120m - 0

= 120m

The time taken to catch the spy will be:

120 + 60t = 90t

90t - 60t = 120

30t = 120

t = 120/30 = 4

The special agent will catch the spy in 4 hours.

Learn more about distance on:

https://brainly.com/question/17273444

Answer:

A: 60t

B: 90t

C: 30 mph

D: 120 miles away

E: 4 hours

F: 120 mph

Step-by-step explanation:

Find the area if the trapezoid. THANK YOU!

Answers

Answer:

4x^3 - 22x^2 + 6x + 20

Step-by-step explanation:

((b1+b2)/2)(h)

Find the 72nd term of the arithmetic sequence -27, -11, 5, ...

Answers

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5​

Answers

Answer:

B is the correct answer

Step-by-step explanation:

42/7 = 6

60/6 =10

Latanya was asked to determine if (375,4) lies on the circle with radius 7 centered at (0.-2). what is her error?
x2 + (y-2)2 = 49
(3/5)2 + (4 - 2)2 = 49
45+ 4 = 49
the point (375,4) lies on the circle
with radius 7 and centerd at (0,-2). what is her error

Answers

The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true

Latansha's equation of the circle is wrong

How to determine her error?

The given parameters are:

Center = (a,b) = (0,-2)

Radius, r = 7

The equation of a circle is:

[tex](x - a)^2 + (y - b)^2 = 0[/tex]

This gives

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

Rewrite as:

[tex]x^2 + (y + 2)^2 = 0[/tex]

In Latanya's first step, we have:

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

By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong

Hence, Latansha's error is that she determine the equation of the circle, wrongly.

Read more about circle equations at:

https://brainly.com/question/1559324

40.quadrilateral efgh was translated 3 units to the left and 8 units up to create quadrilateral e' f'g'h'. which
rule describes this transformation

Answers

Answer:

translation

Step-by-step explanation:

Verizon phone company charges $48 for unlimited texting per month or $0.16 per text message sent or received. For what amount of text messages would the unlimited plan cost the same as per-text plan?

Answers

Answer:

300 text messages sent or received

Step-by-step explanation:

.16 x 300 = 48 which is the same amount as the unlimited texting

Answer:

300

Step-by-step explanation:

this is the answer to this question

HELP ASAP

10. A store is selling its display furniture at a discount of 35%. How much would be paid for
a chair regularly selling for $195.95 if sales tax is 8%?

Answers

225 dollars is the answer

PLEASE PLEASE PLEASE HELP ME YALL‼️‼️‼️‼️‼️

There are four boys in a class of ten students. Four students are to be randomly selected
(without replacement) to help in the lunch line. Determine the probability that all four
students are boys.

Answers

Answer:

Hi .. im happy to help

answer is 0.033

Step-by-step explanation:

P = C(4,4)÷C(10,4)

P = 1 ÷ 30

[tex]p = \frac{1 }{30} [/tex]

p = 0.033

16=2(-8t-1)(t-2) solve for t​

Answers

hi there! so here's my answer

[tex] \rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

Step-by-step explanation:

[tex] \color{gray} \tt \: 16 = 2( - 8t - 1) \times (t - 2)[/tex]

calculate the difference

[tex]\color{gray} \tt \: 16 = 2(- 9)(t - 2)[/tex]

multiplying an odd number of negative terms makes the product negative

[tex]\color{gray} \tt \: 16=^ \ 2*9(t-2)[/tex]

multiply the numbers

[tex]\color{gray} \tt \: 16=-18 (t-2)[/tex]

distribute - 18 trough the parentheses

[tex]\color{gray} \tt \: 16 = - 18t + 36[/tex]

move the variable to the left hand side and change its sign

[tex]\color{gray} \tt \:16+18t=36[/tex]

move the constant to the right-hand side and change its sign

[tex]\color{gray} \tt \:18t=36-16 [/tex]

substract

[tex]\color{gray} \tt \:18t=20 [/tex]

by both sides of the equation by 18

[tex] \:\rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

hope it helps

Maggie takes three electives art, Spanish and creative writing She calculated the mean absolute deviation of the points she earned throughout the year in each class art: mean absolute deviation of 2.1 Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?
creative writing
art
Spanish​

Answers

Creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.

What is the Mean Absolute Deviaton?

The mean absolute deviation is a measure of variability of a data distribution, which describes the average distance of each data value and the mean of the data set.

The larger the mean absolute deviation, the more spread out the data points are from the mean of the data set.

Therefore, since creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.

Learn more about mean absolute deviation on:

https://brainly.com/question/447169

Answer: creative writing

Step-by-step explanation: I did k12 and got 100% Good Luck i hope this helps man. please give me brainiest I'm trying my best to help everyone.     thanks :)  

base?
height?
Volume?​

Answers

Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2

Step-by-step explanation:

for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so  (7*14)/2=49cm2

Which graph does not pass the vertical line test

Answers

Answer:

graph 1

Step-by-step explanation:

two points have the same X value

Can someone please help me with these questions

Answers

Answer:

easy

bro

Step-by-step explanation:

so you have to calculate the equation

Factor this number sentence for me please

3−12x

Answers

Answer: 3(1-4x)

Step-by-step explanation: if you distribute the answer, you will get 3-12x.

Have a nice day!

Molly read 75 pages of the latest thriller mystery novel in 30 minutes. What was her unit rate?

Answers

The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes

Speed and Rate

Given Data

Number of Pages read = 75 pagesTime taken = 30 minutesRequired = rate

The speed/ rate is defined as the number of pages read per minutes passed

Hence the expression for the unit rate is given as

Unit Rate = Number of pages/Time Taken

Substituting our given Parameters

Unit Rate = 75/30

Unit Rate = 2.5 pages per minutes

Learn more about speed here:

https://brainly.com/question/4931057

Simplify:
4(r + 1) + 3r

A) 4r + 4
B) 5r + 1
C) 7r + 1
D) 7r + 4

Answers

Answer:

[tex]\boxed{\sf{D. \quad 7r+4}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow:\sf{A(B+C)=AB+AC}[/tex]

⇒ 4(r+1)+3r

To multiply, first expand the form.

⇒ 4*r=4r

⇒ 4*1=4

Rewrite the problem down.

⇒ 4r+4+3r

Combine like terms.

⇒ 4r+3r+4

Solve.

Add similar to elements.

Add the numbers from left to right.

⇒ 4r+3r=7r

⇒ = 7r+4

Therefore, the correct answer is D. 7r+4.

I hope this helps you! Let me know if my answer is wrong or not.

Which decimal is equivalent to 41/100?​

Answers

Answer:

I believe its 0.41

Step-by-step explanation:

not 100% sure

hope this helps and is the correct answer : )

more questions help me

Answers

Answer:

a. -10/13*3/13
b. -30/169

Step-by-step explanation:

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