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
insens350 [35]
3 years ago
14

An arched drainage culvert can be modelled by the function:

Mathematics
1 answer:
Zanzabum3 years ago
5 0

Substitute 136.5 for y.

136.5=\frac{x(191-x)}{60}

8190=x(191-x)

8190=191x-x^{2}

x^{2} -191x+8190=0

Compare this equation with ax^{2} +bx+c=0

a = 1, b = - 191, c = 8190

x=\frac{-b+\sqrt{b^{2}-4ac } }{2} or

x=\frac{-b-\sqrt{b^{2}-4ac } }{2}

x=\frac{191+\sqrt{191^{2}-4(1)(8190) } }{2} or

x=\frac{191-\sqrt{191^{2}-4(1)(8190) } }{2}

x=\frac{191+\sqrt{36481-32760 } }{2} or

x=\frac{191-\sqrt{36481-32760 } }{2}

x=\frac{191+\sqrt{3721 } }{2} or

x=\frac{191-\sqrt{3721 } }{2}

x=\frac{191+61}{2} or

x=\frac{191-61}{2}

x=\frac{252}{2} or

x=\frac{130}{2}

x = 126 or x = 65

Hence, the points on the curve are (65, 136.5) and (126, 136.5).

The width of the air space is the distance between these points.

Width = \sqrt{(x_{2}- x_{1})^{2} +( y_{2}- y_{1}) ^{2}

= \sqrt{(126- 65)^{2} +(136.5-136.5) ^{2}

= 126 - 65

= 61

Hence, width of the air space is 61m.



You might be interested in
hannahs hourly wage at the icecream shop is $5.85. the table shows the number of hours she worked. She estimates her earnings to
____ [38]
109.69 is act ual so her estimate is more
5 0
3 years ago
Starting from 50 feet away your friend skates towards you and then passes you. She skates at a constant speed of 10 feet per sec
Kitty [74]
12 sec..............
6 0
3 years ago
Solve the equation.<br><br> x2 = 160
Airida [17]
Divide both side by 2 ad you get x=80
6 0
3 years ago
Find angle sum therom ​
Allisa [31]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Sum of the interior angles of any triangle is 180° .

Thus ;

y + 48° + 90° = 180°

y + 138° = 180°

Subtract sides 138°

y + 138° - 138° = 180° - 138° \\

y = 42°

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

4 0
3 years ago
Geometry math question no Guessing and Please show work thank you
nasty-shy [4]

We can name an angle either by naming its vertex or by three letters , keeping the letter of vertex in between.

so here vertex is F

we can name it as ∠EFG, ∠F , ∠GFE

This strikes out the option B that is ∠G

so option B is the answer

6 0
3 years ago
Other questions:
  • The probability that it will snow on the last day of January is 85%. If the probability remains the same of the first eight day
    14·1 answer
  • Find the distance between the points (11, 4) and (10, 5). 1 2
    13·2 answers
  • Jenna and her mom are addressing envelopes for Jenna's wedding invitations. So far, Jenna has addressed 2/9 of the envelopes, an
    5·2 answers
  • What is the positive solution to the equation 0=1/3 x^2 -3
    15·1 answer
  • Yo can someone help me out
    11·1 answer
  • Find the value of x (help quick)
    5·1 answer
  • Pls Help me!A,B,C OR D​
    6·2 answers
  • Divide.<br><br> (5/6)÷(−2/3)
    5·1 answer
  • 2. Rainey graphed a function with exponential growth and an initial value of 15. Which of the following could represent the equa
    15·1 answer
  • Convert 359in^2 to square feet. round to 1 decimal place.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!