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
NemiM [27]
3 years ago
6

A zip-line at a water park runs from the top of a wall, down to the ground on the other side of a pool. The top of the zip cord

is 45 ft above the ground and the zip-line is 500 ft long. What is the horizontal distance between the wall and the end of the zip-line? Round your answer to the nearest foot.
Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

498 ft

Step-by-step explanation:

The zip-line, wall and end of the zip-line to wall form a right-angled triangle.

Since the zip-line which is 500 ft long represents the hypotenuse side, the top of the zip cord to the ground represents one side of the triangle which is 45 ft long and the third side is represented by the horizontal distance between the wall and the zip-line.

By Pythagoras' theorem,

L² = h² + d² where L = length of zip-line = 500 ft, h = height of top of zip cord from ground = 45 ft and d = horizontal distance between the wall and the zip-line.

So, d² = L² - h²

d² = (500 ft)² - (45 ft)²

d² = 250,000 ft² - 2025 ft²

d² = 247,975 ft²

d = √247,975 ft²

d = 497.97 ft

d ≅ 498 ft

You might be interested in
PLEASE HELP ME THIS IS DUE IN TWO HOURS! :(
Damm [24]

Answer:

2.0 x 10^{1}

Step-by-step explanation:

1. length = 3.2 x 10^{5} m

width = 1.6 x 10^{4} m

Area of a rectangle = length x width

                                = (3.2 x 10^{5}) x (1.6 x 10^{4})

                                = 5.12 x 10^{9} m^{2}

2. length = 1.28 x 10^{7} m

   width = 8 x 10^{3} m

Area of a rectangle = length x width

                                 = (1.28 x 10^{7}) x (8 x 10^{3})

                                 = 1.024 x 10^{11} m^{2}

\frac{Area of rectangle 2}{Area of rectangle 1} = \frac{1.024*10^{11} }{5.12*10^{9} }

                       = 20

                       = 2.0 x 10^{1}

Thus,

The area of rectangle 2 is 2.0 x 10^{1} times greater than the area of rectangle 1.

5 0
3 years ago
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were tiger trout?
wel

Answer:81%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
John bought three thermos flask at a total of st 1080 he later sold at 400 each what was his percentage ​
trasher [3.6K]

Answer:

\boxed{ \bold{ \boxed{ \sf {11.11\%}}}}

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

<u>Finding </u><u>the </u><u>selling </u><u>price </u><u>of </u><u>three </u><u>thermos </u><u>flask</u>

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

\sf{profit = sp \:  -  \: cp}

⇒\sf{1200 - 1080}

⇒\sf{120}

Profit amount = 120

<u>Finding </u><u>the </u><u>profit </u><u>percentage</u>

\sf{profit\% \:  =  \frac{profit}{cp}  \times 100 \%}

⇒\sf{ \frac{120}{1080 } \times 100\%}

⇒\sf{11.11\%}

Hope I helped!

Best regards!!

6 0
3 years ago
13. This shows a part of a multiplication table. Find the
IRISSAK [1]

Answer:5x7=35

8x5=40

Step-by-step explanation: well first think of what number can divide into 40 and 35 and come out as 5. So for example 35 divided 7 equals 5 and 40 divided 8 = 5 so the missing number is either 8 or 7

5 0
3 years ago
Which property of real numbers is shown below?<br><br> -6 + 6 = 0
Aneli [31]

Answer:

Additive inverse property

Step-by-step explanation:

When you add opposites you get 0.

Another word for opposites is additive inverses.

This is the additive inverse property.

It says when you do -a+a or a+(-a) you get 0 for any number a.

8 0
3 years ago
Read 2 more answers
Other questions:
  • ASAP WILL GIVE BRAINIEST TO FIRST PERSON TO ANSWER
    14·1 answer
  • What is the difference?
    13·2 answers
  • Solve for x. Solve for x.
    12·2 answers
  • If the cost of a notebook is 2x-3 and the cost of a pen is x-4, what is the cost of 3 notebooks and 5 pens?
    12·1 answer
  • Geometry question finding radius and area<br> Thank You!!
    5·1 answer
  • Find the measure of the third angle classify the triangle?
    7·1 answer
  • Michael and Daniel are on a team together. Michael scores 5 points on his turn, but Daniel loses 5 points on his turn.
    13·2 answers
  • Plz i have no clue and this is due in 15 mins
    14·2 answers
  • That’s why the words “Member FDIC” are so important. This indicates that your bank is covered by the federal government. If anyt
    10·1 answer
  • Solve for x. x = [?] = 5x - 73x + 27 Enter​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!