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
laiz [17]
3 years ago
8

A surveyor find that the cross section of the bottom of a circular pound has the shape of a parabola. The pond is 24 feet in dia

meter. The middle of the pond is the deepest part at 8 feet deep. At a point 2 feet from shore the water is 3 feet deep. How deep is the pond at a point 6 feet from shore?
Mathematics
2 answers:
Savatey [412]3 years ago
6 0

Answer:

2.32 feet

Step-by-step explanation:

Given;

The cross section of the bottom of a circular pound has the shape of a parabola

Now,

For the circular parabola, the equation is given as:

y² = 4ax

here,

y is the depth

x is the horizontal distance from the center

a is the constant

also,

at diameter of the pond = 24 feet

and,

at x = 0 ; y = 8 feet

now,

the point 2 feet from the shore with respect to the center of the pond = radius of the pond - The distance from the shore

= \frac{\textup{24}}{\textup{2}} - 2 = 10 feet

thus,

at x = 10 feet ; y = 3 feet

thus,

we have

the equation as:

3² = 4a × 10

or

0.9 = 4a

or

a =  0.225

therefore,

we get the equation as;

y² = ( 4 × 0.225 ) × x

and, for point  6 feet away from the shore, i.e \frac{\textup{24}}{\textup{2}} - 6 = 6 feet away from the center

we have

y² = ( 4 × 0.225 ) × 6

or

y² = 5.4

or

y = 2.32 feet   (negative value is neglected as the depth cannot be negative)

Rzqust [24]3 years ago
4 0

Answer:

I wanna say 48 squared feet

Step-by-step explanation:

You might be interested in
Which of the following functions has an inverse that is not a function?
hichkok12 [17]
<h2><u>Answer:</u></h2><h2>y=x^2 has an inverse but it is not a function</h2><h2><u>Step-by-step explanation:</u></h2><h2>y = x</h2><h2>y=x has an inverse function. y=x is the equation of a line. All line has an inverse function and it is also a function</h2><h2>y = 2x + 1 is the equation of a line.</h2><h2>All line has an inverse function and it is also a function</h2><h2>y = x^2 is the equation of a quadratic Quadratic equation has an inverse but it does not pass vertical line test.Hence it is not a function</h2><h2><u></u></h2><h2><u>Thank you</u></h2><h2><u>sunshinemadison101</u></h2>

5 0
3 years ago
Find the slope of a ski run that descends 15 feet for every horizontal change 24 feets
Diano4ka-milaya [45]

Answer: 5/8


Step-by-step explanation:


Slope is determined by dividing the amount of vertical movement by the amount of horizontal movement and then simplifying the answer. In this case it is 15/24. To simplify you need to find the least common denominator (LCD), which is 3, and divide both numbers by it. 15/3=5 and 24/3=8, so the answer is 5/8.


7 0
3 years ago
A wildlife reserve had 8 elephant calves born during the summer and now has 31 total elephants. How many elephants were reserved
julia-pushkina [17]
The correct answer is 23

5 0
3 years ago
Read 2 more answers
There are 6 times as many dogs as cats. If total the total number of dogs and cats is 21, how many dogs are there?
artcher [175]

there are 18 dogs and 3 cats.

3 0
3 years ago
A family of 2 adults and 1 child plans to spend the day at the baytown zoo . how much does administration for the family cost ex
hodyreva [135]
15.75+15.75=31.50 you add the two 15.75's because there are two adults then you add the amount of the admission for the adults and the kid 31.50+8.25 and you get $39.75
3 0
3 years ago
Other questions:
  • 3. When building a square-shaped outdoor fireplace (same length X and width x).
    6·1 answer
  • A rectangular prism has a base that is 6 m by 3.5 m in the prism is 9 m high what is the surface area of the prism
    6·1 answer
  • A parking lot has sixty-one parking spaces numbered from 1 to 61. There are no cars in the parking lot when Jillian pulls in and
    6·1 answer
  • Find the measure of
    6·1 answer
  • Solve with subsitution <br> y-3x=2<br> y=-2x-8 <br> show ur work HURRY PLSS
    8·2 answers
  • a class has 32 pupils 18 are boys the others are girls 12 pupil from this class went on trip one of these 12 pupils is chosen at
    5·1 answer
  • I'm taking a test rn does anyone know this question
    11·2 answers
  • If (44)x = 432, what is the value of xIf (44)x = 432, what is the value of x?
    9·1 answer
  • Help me 1-6 with an explanation for a brainliest.
    7·1 answer
  • Proving Pythagorean Theorem
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!