1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wolverine [178]
3 years ago
14

A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft

at the south end to 7 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

Volume of water = 1800π ≈ 5655m³

Step-by-step explanation:

If we assume that "y" varies from north to south since height varies from south to north. We will obtain;

h(y) = ay + b

Thus,

At, h(-20) = 2 ; 2 = -20a + b ___ eq(1)

At, h(20) = 7; 7 = 20a + b ___ eq(2)

Add eq 2 to eq 1;

7 + 2 = 20a - 20a + b + b

9 = 2b; b = 9/2

Plug in 9/2 for b in eq 2;

7 = 20a + 9/2

Multiply through by 2;

14 = 40a + 9

40a = 14 - 9; a = 5/40 = 1/8

Thus, h(y) = (1/8)a + (9/2)b

The rest of the process involves double integral, so i have attached it for clarity.

You might be interested in
please help all the answers are to the right each answer goes into a box match it correctly (: tysm i mark brainliest
melisa1 [442]

Answer:

Heredity is the passage of traits from parent to offspring.

Heredity material is also known as DNA.

Heredity is responsible for traits such as eye color and skin color.

Step-by-step explanation:

6 0
2 years ago
The product of two numbers is 161 , one of number is 7,find the other number. ​
Diano4ka-milaya [45]

let the other number be " n "

now, according to above condition :

  • n × 7 = 161

  • n = 161 ÷ 7

  • n = 23

therefore, the other number would be 23.

4 0
3 years ago
The ratio of the perimeters of two similar polygons is 5:9. What is the ratio of the areas?​
lyudmila [28]

The ratio of the areas of the two polygons can be 25:45

Just Multiply the two give numbers by 5 and you get the answer.

6 0
2 years ago
Read 2 more answers
Write the ratio:2 2/5to 5 1/5 as a fraction in the lowest terms
yuradex [85]
2 2/5=12:5
5 1/5= 26:5
12:26:5
I think.
4 0
3 years ago
Find the distance between the points R(0,1) and S(6,3.5)
Genrish500 [490]

Answer:

Step-by-step explanation:

=(3)2+(5.5)2‾‾‾‾‾‾‾‾‾‾‾‾√

d=(3)2+(5.5)2

=9+30.25‾‾‾‾‾‾‾‾‾√

d=9+30.25

=3‾√9.25

d=39.25

=6.264982

5 0
2 years ago
Other questions:
  • Find the values of x and y
    12·1 answer
  • The sum of two numbers is 7/8. one addend is 3/4. what is the other
    6·2 answers
  • Simplify the problem
    7·1 answer
  • Complete the formulas for surface area and volume of a cube, where a is the length of an edge
    7·1 answer
  • 6.) A completely full spherical hot air balloon with a radius of 9 meters is being deflated at a rate of 22 cubic meters per min
    12·1 answer
  • Colin invest in £5000 into his bank account. He receives 10% per year simple interest. How much will Colin have after 3 years?
    15·1 answer
  • Given m Please help me I’m in need!!
    14·1 answer
  • Which of the following expressions is equivalent to.
    15·1 answer
  • Hcf or LCM
    8·1 answer
  • In the figure below, B is between A and C, and C is between B and D. If AC=9, BD=10, and BC-2, find AD
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!