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Andreyy89
3 years ago
12

The fountain at the park has a walkway around it that is 1 foot wide. The fountain has a radius of 8 feet. The radius of the fou

ntain and walkway together is . The area in terms of pi of the fountain and the walkway together is π ft2. The approximate value for the area of just the walkway to the nearest whole number is

Mathematics
2 answers:
Alenkinab [10]3 years ago
8 0

Answer:

9

81

53 square feet

Step-by-step explanation:

just had the question

Give a thanks to your friendly neighborhood Denki Kaminari

andreyandreev [35.5K]3 years ago
3 0

Answer:

9-81-53

Step-by-step explanation:

Just look at the picture

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F(x)=x^2+12x+7 f(x)=(x+_)^2+_ Rewrite the function by completing the square
Veseljchak [2.6K]

Answer:

f(x) = (x + 6)² - 29

Step-by-step explanation:

Given

f(x) = x² + 12x + 7

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

x² + 2(6)x + 36 - 36 + 7

= (x + 6)² - 29, thus

f(x) = (x + 6)² - 29

6 0
3 years ago
At 8am,Ming Wei started travelling from Town A to Town B.At 8:40am, Ali started travelling from Town B to Town A.Mingwei's speed
Vesnalui [34]
Let's write some equations.

Mingwei's distance from Town A after x hours from 8:00 is 45x.

Ali's distance from Town B after x hours is 30x-20, since he doesn't start walking for 40 minutes.

When Mingwei's distance is twice Ali's, they've met up (since their distance from Town A is twice their distance from Town B).

So, this gives 45x=60x-40, so 15x=40, so x=\frac{40}{15} = \frac{8}{3}, so the time is 10:40.

After \frac83 hours, Mingwei has traveled 45 * 8 / 3 = 120 kilometers while Ali has traveled sixty, so the distance between the towns is 180 kilometers.
7 0
3 years ago
2. In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF ar
gavmur [86]
FD/CA = EF/BC
x/(8.5 mm) = (12 mm)/(4 mm)
x = (8.5 mm)*(12/4)
x = 25.5 mm . . . . . . . . . . . the 3rd selection
5 0
3 years ago
Let X be the temperature in at which a certain chemical reaction takes place, and let Y be the temperature in (so Y = 1.8X + 32)
Black_prince [1.1K]

Answer:

See explanation

Step-by-step explanation:

Solution:-

The random variable, Y be the temperature of chemical reaction in degree fahrenheit be a linear expression of a random variable X : The  temperature in at which a certain chemical reaction takes place.

                             Y = 1.8*X + 32

- The median of the random variate "X" is given to be equal to "η". We can mathematically express it as:

                             P ( X ≤ η ) = 0.5

- Then the median of "Y" distribution can be expressed with the help of the relation given:

                             P ( Y ≤ 1.8*η + 32 )

- The left hand side of the inequality can be replaced by the linear relation:

                             P ( 1.8*X + 32 ≤ 1.8*η + 32 )

                             P ( 1.8*X ≤ 1.8*η )   ..... Cancel "1.8" on both sides.

                            P ( X ≤ η ) = 0.5 ...... Proven

Hence,

- Through conjecture we proved that: (1.8*η + 32) has to be the median of distribution "Y".

b)

- Recall that the definition of proportion (p) of distribution that lie within the 90th percentile. It can be mathematically expressed as the probability of random variate "X" at 90th percentile :

                             P ( X ≤ p_.9 ) = 0.9 ..... 90th percentile

- Now use the conjecture given as a linear expression random variate "Y",

          P ( Y ≤ 1.8*p_0.9 + 32 ) = P ( 1.8*X + 32 ≤ 1.8*p_0.9 + 32 )

                                                 = P ( 1.8*X ≤ 1.8*p_0.9 )

                                                 = P ( X  ≤ p_0.9 )

                                                 = 0.9

- So from conjecture we saw that the 90th percentile of "X" distribution is also the 90th percentile of "Y" distribution.

c)

- The more general relation between two random variate "Y" and "X" is given:

                            Y = aX + b

Where, a : is either a positive or negative constant.

- Denote, (np) as the 100th percentile of the X distribution, so the corresponding 100th percentile of the Y distribution would be : (a*np + b).

- When a is positive,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≤ p_% )

                                                 = np_%        

- When a is negative,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≥ p_% )

                                                 = 1 - np_%        

                                                           

4 0
3 years ago
You have $3.20 in quarters and dimes. You have four fewer quarters than dimes. What would the associated system of equations loo
Harlamova29_29 [7]
 The equation is 
Dimes is x

x+x-4=3.20


5 0
3 years ago
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