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
boyakko [2]
3 years ago
8

A cable is installed around two edges of the rectangular field that is 860 feet long and 340 feet wide, as shown below. Suppose

the cable costs $2100 per foot to install. Round all answers to the nearest hundredth.
a. How much did it cost to run the cable along the two edges of the field?



b. How much would it have cost to run the cable along the diagonal?



c. How much money would have been saved if the cable were installed along the diagonal of the field instead of around the edges of the field?

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer:

<em>a. 2,520,000.00</em>

<em>b. $1,942,017.51</em>

<em>c. $577,982.49</em>

Step-by-step explanation:

<u>Distances in a Rectangle</u>

a.

Running the cable along the edges of the field would need a total length of 860 ft + 340 ft = 1,200 ft of cable. The unit cost of the cable is $2,100 per foot, thus the cost of the total lenght of cable was 2,100*1,200= $2,520,000.

b. If the cable ran along the diagonal, the distance must be computed by

D=\sqrt{x^2+y^2}

where x = 860 ft and y = 340 ft, thus

D=\sqrt{860^2+340^2}=924.77

D = 924.77 ft. The cost of the cable would be 2,100*924.77= $1,942,017.51

c. The savings if the cable were installed along the diagonal of the field instead of around the edges of the field would be

$2,520,000 - $1,942,017.51 = $577,982.49

You might be interested in
PLAEASE Help If you answer this right I will mark you brainlist
liubo4ka [24]

Answer:

Hello! answer: 65

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees therefore... 180 - 115 = 65 therefore x = 65 hope that helps!

8 0
3 years ago
Read 2 more answers
The members of an organization are 10 men and 11 women
12345 [234]

do you have any more information?

5 0
3 years ago
Read 2 more answers
On Monday, the temperature at 10 a.m. at Sam’s house was –6° Fahrenheit. The
Alika [10]

Answer:

8

Step-by-step explanation:

to find the answer, subtract the second amount (2) from the first amount (-6), -6 - 2 = -8, the temperat decreased by 8

6 0
3 years ago
Read 2 more answers
Malorie took out a loan to build a deck.The loan was for $15000 and had a 7.5% simple interest rate. If she paid a total of $1,6
attashe74 [19]

Answer:

  • The final value (FV)  that is paid in a loan (which is the sum of the capital and the interests) equals the present value (PV) of the loan  multiplied by (1+i\times{n}), in a simple interest context, where "n" equals the periods of time and "i" equals the interest rate valid for that periodicity.
  • Then FV=PV\times(1+i\times{n}). In this case, PV=$15,000; final value equals FV=$15,000+1,687.5= $16,687.5.
  • We should clear "n" from our equation, which means: 16,687.5=15,000\times(1+n\times0.075). Dividing both sides by 15,000, then subtracting 1 both sides, and finally dividing by 0.075 both sides, results in n=1.5.
  • Then, Malorie had the loan for one an a half periods.

3 0
3 years ago
Claire says that she can draw an obtuse equilateral triangle. Is she correct? Explain.
notka56 [123]
No, because an equilateral triangle is also equiangular so all sides must be 60° (60+60+60=180) and an obtuse angle is more than 90° so the triangle would not be equilateral.

Hope I Helped (:
7 0
3 years ago
Read 2 more answers
Other questions:
  • Every year, Calaveras County holds a frog jumping contest. Mia entered her frog into the 100-yard contest and it completed the r
    12·1 answer
  • What is the value of a in the equation a = 2 + 3a + 6?<br><br> −8<br> −4<br> 4<br> 8
    8·2 answers
  • Find the distance covered by a car travelling at 65 65-kmh-1 for 7 hours.​
    15·1 answer
  • PLEASE HELPPPPPPPPPP!!!!!!!!!
    13·1 answer
  • How many complete pieces of ribbon 7/8cm long can be cut from a roll of ribbin that is 149 cm long
    13·2 answers
  • Sonny substituted 5 for x in the proportion 16/x =48/12 and cross multiplied to get 240 = 240. Why is this?
    11·1 answer
  • Is this true or false? Pls help a dumb person out
    7·2 answers
  • Square tiles are 5 inches long. They plan to make a row of tiles that is 4 feet 2 inches long. How many tiles are there needed t
    8·2 answers
  • Does anyone know what X x X x X is?​
    14·1 answer
  • 62 divided by 8,694
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!