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
AVprozaik [17]
3 years ago
14

A bridge on a river is modeled by the equation h = -0.2d2 + 2.25d, where h is the height and d is the horizontal distance. For c

leaning and maintenance purposes a worker wants to tie a taut rope on two ends of the bridge so that he can slide on the rope. The rope is at an angle defined by the equation -d + 6h = 21.77. If the rope is attached to the bridge at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point A?
Mathematics
2 answers:
icang [17]3 years ago
6 0
The answer is 2.2108
Solution:
first equation:
h = -0.2d² + 2.25d-d + 6h = 21.77
2nd equation:-d + 6h = 21.77d = 6h - 21.77
Then substitute:h = -0.2(6h - 21.77)² + 2.25(6h - 21.77)h = 3.9968
Answer:d = 2.2108

algol133 years ago
6 0

Answer:

Point A is approximately 4 unit above the ground.

Step-by-step explanation:

A bridge on a river is modeled by the equation h = -0.2d² + 2.25d -------(1)

Where h is the height and d is the horizontal distance.

For cleaning and maintenance purpose a worker wants to tie a taut a rope on two ends of the bridge so that he can slide on the rope.

The rope is at an angle defined by the equation

-d + 6h = 21.77

d - 6h = -21.77

d = 6h - 21.77 -------(2)

Now we have to find the value of h which is the distance from the ground level.

Now we substitute d from equation 2 to equation 1

h = -0.2(6h - 21.77)²+ 2.25(6h - 21.77)

h = -0.2(36h²+ 473.9329 - 261.24h) + 13.5h - 48.9825

h = -(7.2h² + 94.79 - 52.25h) + 13.5h - 48.98

h = -7.2h² - 94.79 + 52.25h + 13.5h - 48.98

h = -7.2h² + 65.75h - 143.77

0 = -7.2h² + 65.75h - h - 143.77

0 = -7.2h² + 64.75h - 143.77

7.2h²- 64.75h + 143.77 = 0

Now we divide the equation by 7.2

h² - 9h + 20 = 0

h² - 5h - 4h + 20 = 0

h(h - 5) - 4(h - 5) = 0

(h - 4)(h - 5) = 0

h = 4 or 5

Therefore, point A is approximately 4 unit above the ground.

You might be interested in
What percent of 630 is 270
Tatiana [17]
I don't Clearly understand your question but I think it is 0.428571
8 0
3 years ago
Given: 18x-2(3x+1)=5x-16<br> Prove: x=-2
zlopas [31]

Answer:

True

Step-by-step explanation:

Evaluate 18 x - 2 (3 x + 1) = 5 x - 16 where x = -2:

-2×18 - 2 (1 - 2×3) = -2×5 - 16

3 (-2) = -6:

-2×18 - 2 (-6 + 1) = -2×5 - 16

1 - 6 = -5:

-2×18 - 2-5 = -2×5 - 16

18 (-2) = -36:

-36 - 2 (-5) = -2×5 - 16

-2 (-5) = 10:

10 - 36 = -2×5 - 16

5 (-2) = -10:

10 - 36 = -10 - 16

10 - 36 = -26:

-26 = -10 - 16

-10 - 16 = -26:

-26 = -26

-26 is equal to -26:

Answer:  True

3 0
3 years ago
Read 2 more answers
kim is using 1-inch-square tiles to cover a rectangular tabletop. what is the area, in square inches, of the tabletop?
Gekata [30.6K]
Not enough information
5 0
3 years ago
Read 2 more answers
If it is 5:00 pm in Bloomington, OH, what time is it in St. Louis, MO?
insens350 [35]

Answer:

4:00. I am sure that it is 4 o clock!

Step-by-step explanation:

it is 4:00

8 0
3 years ago
What is the ordered pair for point C?
slava [35]

Answer:-6,5

Step-by-step explanation:the first digit is your x and the second is your y so we go 6 back from the origin and 5 up from zero and we get -6,5. Also you always do x first

8 0
2 years ago
Read 2 more answers
Other questions:
  • Does 5x-1=3(x+11) have one solution
    12·2 answers
  • Convert the improper fraction to a mixed number.<br> negative StartFraction 28 Over 3 EndFraction
    13·1 answer
  • Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
    9·1 answer
  • What is the order from least to greatest
    9·1 answer
  • On a given day, the coldest surface temperature on the Moon, $-280$°F, is $53.6$°F colder than twice the coldest surface tempera
    14·2 answers
  • 10 to the zero power times 0.23=
    13·1 answer
  • Can you help me with this problem?​
    9·1 answer
  • Which one of these polls is the correct answer? Please help.
    9·1 answer
  • What L is alternate interior at L6?<br><br> A. L3<br> B. L5 <br> C. L1<br> D. L4
    12·1 answer
  • Find 60% of 264. i dont understand how to find what the answer is :(
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!