56
47
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is 47 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is
square yards.
Hint: The formula for the area of a Circle is A = 12

5647The Diagram Shows A Round Fountain Surrounded By A Circular Path. The Radius Of The Fountain Is 47

Answers

Answer 1

Answer:

the estimated area of the fountain is 147.58 square yards and the estimated area of the path is 28.26 square yards

Step-by-step explanation:

#platolivesmatter

your welcome!!!

Answer 2

The area of the fountain is 147.58 square yards, and the area of the path is 28.25 square yards.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Given

a circular fountain,

radius of fountain  = √47 yards

area of  fountain = πr²

area = π(√47)²

area = 147.58 square yards.

and fountain surrounded by a circular path,

which form a concentric circle with fountain,

the radius of the circular path from center of the fountain = √56 yards

area of the path = total area with radius √56 - an area of fountain

area of the path = π(√56)² - 147.58

area of the path = 175.84 - 147.58

area of the path = 28.26 square yards

Hence the area of the fountain is 147.58 square yards,

area of path = 28.25 square yards.

Learn more about circles;

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Related Questions

Please put down math for this!
What is 5% of 200?
put answer down bellow!

Answers

Answer:

10

Step-by-step explanation:

1. Find 5% of 200.

2. 5100×200.

3. =10.

4. so 5% of 200 will be 10.

100 POINTS MUST SHOW WORK OR ILL REPORT!
Given

Answers

Answer:

[tex]\huge\boxed{\boxed{\mathbb{B)70°}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:vertical angleequationPEMDASgiven:[tex]\sf m\angle ABC=3x-20[/tex][tex]\sf m\angle DBF=x+40[/tex]tips and formulas:Vertical Angles are the angles opposite each other when two lines crossvertical Angles are equallet's solve:

according to the question

3x-20=x+40

=>3x-x=40+20

=>2x=60

=>x=60/2

x=30

given [tex]\sf m\angle ABC=3x-20[/tex]

substitute the value of x

30×30-20

simplify

90-20

70

Opposite angles are equal

Put and equate

3x-20=x+40

solve

3x-x=40+202x=60x=30°

m<ABC

3(30)-2090-2070°

Option B

which statements are true when solving x*2 -8x +16=0?

A x=+4.

B Factor to solve.

C x=4 is a double root.

D Complete the square root to solve.

E The equation is a perfect trinomial.

Answers

Given:

The given equation is

[tex]x^2-8x+16=0[/tex]

To find:

The correct statement for the given equation.

Solution:

We have,

[tex]x^2-8x+16=0[/tex]

It can be written as

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

Using the identity of perfect square trinomial, we get

[tex](x-4)^2=0[/tex]            [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex](x-4)=0[/tex]

[tex]x=4[/tex]

Here, x=4 has multiplicity two because the power of factor (x-4) is 2.

x=4 is a double root and the equation is a perfect trinomial.

Therefore, the correct options are C and E.

Answer:

B) Factor to solve.

C) x = 4 is a double root.

E) The equation is a perfect square trinomial.

Step-by-step explanation:

Factor to solve.<

By inspection, the equation is a perfect square trinomial.

x = 4 is a double root

By inspection, the middle term's coefficient 8 is twice the square root of 16, the constant; therefore, it is a perfect square trinomial.

x2 − 8x + 16 = 0 → (x − 4)(x − 4) = 0 → x = 4 is a double root.

Hope This Help??

Please Mark Me Brainly??

5x^2-9x-2=0
Will mark brainliest!

Answers

Answer:

x = 2 and x = -1/5

Step-by-step explanation:

Factors into (x-2)(5x+1) = 0 and you have your two values for x.

Or solve by quadratic formula [tex]x = \frac{-(-9) \pm \sqrt{9^{2} - 4(5)(-2)} }{2\cdot5} \\x = \frac{9 \pm 11}{10}.\\[/tex]

Two values, [tex]x = \frac{20}{10} = 2\\x = \frac{-2}{10} = -1/5[/tex]

How do you need this solved? Do I need to solve by factoring? using the Quadratic Formula?

someone pls answer this

Answers

Answer:

Step-by-step explanation:

2y = 3x + 4
2x = -3y - 7

Answers

Answer:

x= -2.........&.........y= -1

Step-by-step explanation:

(x,y)=(-2,-1)

Which of the following data sets is best described by a linear model

Answers

Answer:

sry i dont know

Step-by-step explanation:

lolz

el precio de xbox es de $4,300 pesos .a esta cantidada se debe agregar 16% del iva ¿cual es el precio del x-box con el iva incluido

Answers

Answer: 4,988 porque 16% de 4,300 es 688 asi que nomas lo aggregas a lo que costaba y agaras el resultado de 4,988

Step-by-step explanation:

an examination class of 55% of pupil scored 70% , if 54 scored above 70%. how many scored above 70%.​

Answers

Answer:

You just said the answers. 54

Step-by-step explanation:

5

The Yankees 90 of their 162 games last season. What percentage of their games did they win?

Answers

Answer:

If they won 90 out of 162, they won 55.(5)% of their games.

Step-by-step explanation:

I assume they WON 90 of the 162 games.

90/162 = 45/81 = 15/27 = 5/9

5/9 = 55.(5)%; (because 1/9 = 11.(1)%)

Answer:

55.56%

Step-by-step explanation:

1. Put into a fraction = 90/162

2. Simplify = 5/9

3. Calculate the fractions value by dividing the numerator by the denominator.

4. Multiply the answer by 100

5. Simplify

Hopefully this helps!

2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of

Answers

Answer:

A=πr2=π·52≈78.53982m²

Step-by-step explanation:

Answer:

78.57 m^2

Step-by-step explanation:

answer is 78.57

PLS HELP I TRIED GETTNIG BETTER PHOTOS THIS TIME

Answers

Answer:

ADD MORE POINTS THEN WE CAN TALK HUN

Step-by-step explanation:

Answer: )*39082[938[928

The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is 35 minutes and costs $5.25. Which show would give you more for your money?

Answers

Answer:

35 min show

Step-by-step explanation:

3.75 / 20 = .1875

5.25 / 35 = .15

you pay less for the 35 min show

can i please get brainliest! :)


1. Which is longer: 6 ft or 70 in.?

Answers

Answer:

70in.

Step-by-step explanation:

1 foot is the equivalent to 12 inches. So 6 feet is 6×12. ... So now we have  72 and 70 inches.

Answer:

6 ft is more then 70 in.

Step-by-step explanation:

6 ft is more then 70 in. because 6ft is 72 in. therefore 6ft. is more then 70 in.

HOPE THIS HELPS

Look at this graph, what is the slope?

Answers

Answer:

3/2

Step-by-step explanation:

find 2 points and go up til you are even with it(3 in this case) this is your rise, then go over to the other point(2 in this case) this is your run, so the slope (rise/run) is 3/2

-Todo <3

A rectangle has sides 10 and 8. Find the length of the Diagonal

Answers

Answer:

Step-by-step explanation:

Remark

The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.

Givens

a = 10

b = 8

c = ?   This is the length of the diagonal.

Solution

a^2 + b^2 = c^2

10^2 + 8^  = c^2

100 + 64 = c^2

c^2 = 164

√c^2 = √164

c = 12.806

help read the instructions ffirst

Answers

Answer:

Step-by-step explanation:

Find attached  the first sum.

x  denotes horizontal and y denotes vertical

When the value of x  is  positive, it moves to right side and when x is negative, it moves left sides 'x unit'

When the value of y  is  positive, it moves to up side and when y is negative, it moves down sides 'y unit'

If x ≠ 2y, then

eq1a


2(x-2y)

2y-x

1

0

-2

Answers

the answer is 0 because they’re the same

Bags of sugar come in 3 sizes:
Small bag: A 250 g bag costs 60p.
Medium bag: A 500 g bag costs £1.30.
Large bag: A 3 kg bag costs £7.50.
Calculate the cost of 3 kg for the small and medium bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.

Answers

Answer:

Small bag: £7.20 for 3 kg

Medium bag: £7.80 for 3 kg

Best value: small bag

Step-by-step explanation:

3 kg = 3000 g

Small bag: 60p/250 g = 0.24p/g

For 3000 g: 0.24p/g * 3000 g = £7.20

Medium bag: £1.30/500 g = 0.0026 £/g

For 3000 g: 0.0026 £/g * 3000 g = £7.80

Large bag:

For 3000 g: £7.50

Best value: small bag

Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?​

Answers

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2

If 25% of a number is 100, what is the number?
OA. 50
OB.
100
O c.
150
OD.
200
O E.
400

Answers

Answer:

400

Step-by-step explanation:

25% is a fourth 100 ×4 is 400

what is the G.C.F. of 12 4 8

Answers

Answer:

4

Step-by-step explanation:

GCF = 4

4 × 3 = 12

4 × 2 = 8

Since 4 goes in both, 12 and 8, it is the GCF. Hope this helps, thank you !!

GCF 4
4x2= 8
4x3=12
Answer would be 4 yes

Which number is not located in the correct set of numbers?
1
9
TT
25
160

Answers

Pi should be located under an irrational number

What is functio
TIG
3. Given this graph of the function f(x):
Given the functi
f(x)
Find:
b. f(0) =
c. f(3) =
d. f(-5) =
a. f(-4)=
f. x when f(x) = 0
e. r when f(x) = -2

Answers

Answer:

I know I'm not answering your question but math-way helps and its fast i just want to save you time <3

Step-by-step explanation:

have a nice day

In a survey of a community, it was found that 55%
like summer season, 20% like winter season, 40%
don't like both seasons and 750 like both seasons. By
using Venn diagram, find the number of people who
like winter season.​

Answers

Answer:

The number of people who like winter season is 1000.

Step-by-step explanation:

Event event correspond to a set in the Venn diagram, and we use it to find the percentages.

I am going to say that:

Event A: Like summer season

Event B: Like winter season.

55% like summer season

This means that [tex]P(A) = 0.55[/tex]

20% like winter season

This means that [tex]P(B) = 0.2[/tex]

40% don't like both seasons

This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]

Proportion who like both:

This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Using what we have

[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]

750 like both seasons.

This is 15% of the sample. So the total number of people is t, for which:

[tex]0.15t = 750[/tex]

[tex]t = \frac{750}{0.15}[/tex]

[tex]t = 5000[/tex]

20% like winter season

Out of 5000. So

0.2*5000 = 1000

The number of people who like winter season is 1000.

Which of the following are exterior angles? Check all that apply

Answers

Answer: D, C, A

Step-by-step explanation:

An exterior angle is an angle that is supplementary to an interior angle.

The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.

What is the Exterior angle?

Exterior angles become by a side of that figure and its extended adjacent side.

The exterior angle has been attached.

Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.

Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.

For more information about Exterior angle

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Jose May 20% off of his free throws over the season if he shot a 180 free throws how many did he make​

Answers

Answer:

He made 36 free throws out of 180

2 and 1/8 + 1 and 3/4

Answers

3.875 hope this is right

For the function f(x)=-7x-5, evaluate f(6)

Answers

Answer:

f(x)=-7x-5

f(6)=-7(6)-5

f(6)=-42-5

f(6)=-47

I WILL GIVE U
THE BRAINLEST!!!!!
I WILL GIVE U THE BRAINLEST!!!!!
If a circle has a diameter of 3 cm, what is the circumference? Enter a numerical value
only. Round all answers to the nearest hundredth.

Answers

Answer:

C≈9.42cm

Step-by-step explanation:

This is the correct answer for your question

Answer:

3.71

Step-by-step explanation:

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