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
Dvinal [7]
3 years ago
6

A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

from the point on the ground halfway between the poles the height of the cable in feet is h(x)=10+(0.1)(x1.5). The cable weighs 10.4 pounds per linear foot. Find the weight of the cable.
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

You might be interested in
Family bought 12 oranges from the market. However, one-fourth of these oranges were rotten. How many oranges were not rotten?
sashaice [31]

Answer:

1/4 of them were rotten

rotten ones = 1/4 × 12 = 3

ones that weren't rotten = 12 - 3 = 9

4 0
2 years ago
On the first math test, Keiko answered 19 out of 20 correct. On which test did she get a better grade? Write a ratio in faction
frosja888 [35]
The fraction for is 19/20
3 0
3 years ago
Read 2 more answers
I’ll give brainly i need 2 answers
marta [7]

Answer:

Step-by-step explanation:

15%(p)

3 0
2 years ago
I don't understand how to find a. Please help!
Rama09 [41]
The small right angled triangle with hypotenuse vale 5 is similar to the big triangle with b as the hypotenuse
Corresponding sides are in the same ratio so we can write 
a/12 = 5/b.....(1)

Also  applying pythagoras theorem to the large triangle 
b^2 = 5^2 + 12^2
b^2 = 169
b = 13

So substituting in equation (1):-
a  / 12 = 5  / 13
a = (5*12 ) / 13

8 0
3 years ago
Read 2 more answers
8-1-(18-2)/18 /= divide use pemdas
Blizzard [7]
The correct answer is 0.5, I hoped this helped! :)
7 0
3 years ago
Other questions:
  • I need help asap please! <br><br> WILL GIVE BRAINLIEST!!!
    13·1 answer
  • PLEASE ANSWER BOTH OF THEM ASAP!!!!
    13·2 answers
  • I need help with number 8 and 9! :) Thanks!
    10·1 answer
  • Pool is 25ft long and 15 ft wide and the width of the walkway is to be the same all around the pool. How wide do I make the walk
    14·1 answer
  • Somebody please help me
    9·2 answers
  • Total of y and five divided by x
    7·2 answers
  • If EG=50 , and point F is 2/5 of the way between e and g,find the value FG A.30 B.25 C.40 D.20
    8·1 answer
  • Given A(0,-4), B(0,-9), and C(-2,-5). Find the length of BC.
    7·1 answer
  • Area of triangle Question 4
    8·1 answer
  • Work out the size of angle a and angle b
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!