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solong [7]
3 years ago
5

Please can someone help me with this: A swimming pool is 50m long and 20 m wide. Its depth decreases linearly along the length f

rom 3m to 1m. It is initially empty and is filled at a rate of 1m^3/min. How fast is the water level rising 250 min after the filling begins? How long will it take to fill the pool?
Mathematics
1 answer:
son4ous [18]3 years ago
3 0

The speed the water level rising 250 min after the filling begins is 1/500 m/min and it will take 2000 minutes to fill the pool. I am hoping that these answers have satisfied your queries and it will be able to help you, and if you would like, feel free to ask another question.

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If the two triangles shown below are similar based on the giveninformation, complete the similarity statement, otherwise choose
SVETLANKA909090 [29]

1) Two triangles are similar if they have congruent angles and proportional sides (for each corresponding leg).

2) So let's check whether there are similar triangles by setting a proportion:

\begin{gathered} \frac{HC}{CA}=\frac{JH}{CB} \\ \frac{9}{18}=\frac{7}{14} \\ Simplify\text{ both:} \\ \frac{1}{2}=\frac{1}{2} \end{gathered}

3) So yes they are similar, i.e. ΔCAB ~ΔHGJ

5 0
1 year ago
A truck hauled 208 cubic feet of sand to a construction site the sand is dumped into a cone shaped pile of 10 feet
stealth61 [152]

Answer:

8.9 feet to the nearest tenth.

Step-by-step explanation:

The volume of a cone is 1/3 π r^2 h  where r = the radius of the base and h = the height.

So we have the equation:

208 = 1/3  π r^2 10

r^2 = 208 / (1/3 *  π * 10)

r^2 =  19.85 sq feet

so r = √19.86

= 4.457 feet.

So the diameter = 2 * 4.457 = 8.914 feet.

3 0
4 years ago
Read 2 more answers
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Reb
Marta_Voda [28]

Complete Question

1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match.

(a) How many schedules are there?

(b) How many schedules include neither sister?

Answer:

a

   N  =  1,411,200

b

  M  =  302, 400

Step-by-step explanation:

From the question we are told that

   The  number of players in Taft High School is t =  8

    The  number of players in McKinley High School  is k = 7

   The number of rounds is  n  =  4

   The highest number of match each player can play is  w =  1

   

Generally the total number of schedules is  

      N  = ^tP_4 * ^k P_4

      N  = ^8P_4 * ^7 P_4

=>   N  =  \frac{8!}{(8-4)!} * \frac{7!}{(7-4)!}

=>   N  =  \frac{8!}{4!} * \frac{7!}{3!}

=>  N  =  \frac{8*7 *6*5*4*3*2*1}{4*3*2*1} * \frac{7*6*5*4*3*2*1}{3*2*1}

=>  N  =  1,411,200

Generally the  number of schedules that include neither of the sisters is  mathematically represented as

        M= \ ^{t-1}P_4 *\ ^ {k-1} P_4

        M= \ ^{8-1}P_4 *\ ^ {7-1} P_4

=>    M= \ ^{7}P_4 *\ ^ {6} P_4

=>     M  =  \frac{7!}{(7-4)!} * \frac{6!}{(6-4)!}

=>     M  =  \frac{7!}{3!} * \frac{6!}{2!}

=>     M  =  \frac{7 *6*5*4*3*2*1}{3*2*1} * \frac{6*5*4*3*2*1}{2*1}

=>      M  =  302, 400

8 0
3 years ago
Joe has 37 coins consisting of nickels, dimes, and quarters. There are four more nickels than dimes and two more quarters than n
astraxan [27]

Answer:

  15

Step-by-step explanation:

Let n, d, q represent the numbers of nickels, dimes, and quarters. The problem statement tells us ...

  n +d +q = 37

  n = d +4

  q = n +2

___

Rearranging the second equation gives ...

  d = n -4

Substituting that into the first, we get ...

  n + (n -4) +q = 37

  2n +q = 41 . . . . . . . add 4 and simplify

Rearranging the third original equation gives ...

  n = q -2

Substituting into the equation we just made, we get ...

  2(q -2) +q = 41

  3q = 45 . . . . . . . . add 4 and simplify

  q = 15 . . . . . . . . . divide by 3

Joe has 15 quarters.

_____

<em>Check</em>

The number of nickels is 2 fewer, so is 13. The number of dimes is 4 fewer than that, so is 9. The total number of coins is 15 + 13 + 9 = 37, as required.

5 0
3 years ago
International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple. 50
Tanya [424]
Cherry sales as a % of total sales = (0.5 x 1.2)/(0.5 x 1.2 + 0.2 x 1.4 + 0.3 x 1.6) = 0.6 / (0.6 + 0.28 + 0.48) = 0.6 / 1.36 = 0.4412 = 44.12%

Therefore, 44.12% of the total sales will be cherry.
8 0
3 years ago
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