All categories

3 years ago

A circular fountain 10 feet in diameter has a circular walk 3 feet wide paved around it. What is the area of the walk?

1 answer:

7 0

Hi there!

• Radius = $\dfrac{10}{2}$ ft = 5 ft.

Area of the fountain = πr² = 3.14 x (5)² = 78.5 ft²

•Radius for fountain n' walk = $\dfrac{10 + 3}{2}$ = $\dfrac{13}{2}$ = 6.5 ft

Area of fountain n' walk = πr² = 3.14 x (6.5)² = 132. 6 ft²

| Area of th' Circular walk |

132.6 - 78.5 ft² = 54. 1 ft²
ar( Larger circle ) - ar( Smaller circle )

Hence,
The area of the walk around the fountain is 54. 1 ft²

~ Hope it helps!

You might be interested in

A skydiver accelerates downward at 8m/s^2 during the first second. Her weight is -540 N. The net force on the skydiver is -290 N

nikdorinn [45]

Answer:

formula of force in mass*acceleration

Step-by-step explanation:

7 0

1 year ago

Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4

lina2011 [118]

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

$\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7$

On simplifying both the expressions we get:

$\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1$

Compute the value of both expressions for x = 2 as follows:

$\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27$

The value of both expressions are same for x = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

6 0

2 years ago

Evaluate 7 r − 15 s 7r− s 15 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5

NeTakaya

Answer: 18

Step-by-step explanation:

Evaluate 7 r − 15 /s

Given that r = 3 and s = 5

7r - 15/s

Substitute 3 for r and 5 for s in the above expression

7(3) - 15/5

= 21 - 3

= 18

3 0

2 years ago

The Thompson family is buying a car that can travel 70 miles

gogolik [260]

Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

4 0

3 years ago

The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

3 years ago

Read 2 more answers