answer.
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
vekshin1
2 years ago
6

A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon to make a triangle. We can us

e the Pythagorean Theorem to find the length of guy wire needed. The square of the distance between the wire on the ground and the pylon on the ground is 90,000 feet. The square of the height of the pylon is 160,000 feet. So the length of the guy wire can be found by evaluating 90,000 + 160,000 . What is the length of the guy wire?
Mathematics
1 answer:
PolarNik [594]2 years ago
4 0

Answer:

The guy wire lenght is 500 ft.

Step-by-step explanation:

The Pythagorean Theorem says the sum of the squares two adyacent sides is equal to the square of the opposite side.

Applied in this example, we can rephrase it as:

The sum of the square of the pylon height with the square of the distance from the guy wire tip to the pylon is Equal to the  square of the Guy wire lenght.

So:

PylonHeight^{2}  + floordistance^{2} = GuyWireLength^{2} \\160.000 + 90.000 = GuyWireLength^{2} \\\\\sqrt{160.000 + 90.000} =GuyWireLength\\GuyWireLength= 500 ft

You might be interested in
$24 saved after 3 weeks; $52 saved after 7 weeks. are these ratios equivalent
SIZIF [17.4K]
To figure out this question, I first divided 24 into 3, which gives me an answer of 8. then I divided 52 into 7 , which also is 8 . because the two numbers are the same, I know the ratios are equivalent.
4 0
2 years ago
Read 2 more answers
Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are
Cloud [144]

Answer:

9 feet

Step-by-step explanation:

Given:

The border of the garden is a right angled triangle.

Two lengths are given as 12 ft and 15 ft.

Let the length of the shortest timber be 'x' feet.

Now, in a right angled triangle, the longest length is called the hypotenuse.

As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

(Leg1)^2+(Leg2)^2=(Hypotenuse)^2\\x^2+12^2=15^2\\x^2+144=225\\x^2=225-144\\x^2=81\\x=\pm \sqrt{81}=\pm 9

The negative value is neglected as length can never be negative.

Therefore, the length of the shortest timber is 9 feet.

8 0
2 years ago
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to
wolverine [178]
The function for conversions from Fahrenheit to Celsius is:

Celsius = (Fahrenheit - 32) x 5/9 

C(76.1) = (76.1 - 32) x 5/9
             = (44.1) x 5/9
             =  24.5

Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius. 
5 0
2 years ago
Read 2 more answers
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
Merei and Jona buy the $2000 Super PC special package desktop computer. What is the total amount they will pay? Question respons
omeli [17]

Answer:

$2000

Step-by-step explanation:

Given data

We are given that the price of the super PC is $2000

Since they are buying only one of the super PC they will have to pay

$2000

Hence option C is the correct answer

5 0
2 years ago
Other questions:
  • Write the number with the same value as 28 tens
    7·2 answers
  • marta bought new fish for her home aquarium. she bought 3 guppies and 2 platies for a total of 13.95. hank also ought guppies an
    7·1 answer
  • Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield th
    9·2 answers
  • The graph below could be the graph of which exponential function?
    9·2 answers
  • Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.
    14·1 answer
  • Rafael took 4 pumpkin pies to a family gathering.If he divides each pie into six equal-size slices,haw many slices can he serve
    11·1 answer
  • 5. How long will it take Greg to earn $500.00? Round to the nearest hour​
    7·1 answer
  • The cafeteria creates pre-made boxed lunches with equal numbers of the following items:
    10·2 answers
  • Allison is evaluating the expression -5-(-2) using integer tiles. She begins with 5 negative tiles as shown. What should Allison
    8·1 answer
  • Evaluate b(x)=18−0.5x when x=−2,0, and 5.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!