Answer:
63.8ft
Step-by-step explanation:
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.
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
The horizontal distance between the wall and the end of the zip-line is:498 ft.
Horizontal distanceUsing Pythagoras theorem formula
d= √L² + h²
Let plug in the formula
d=√500 ft² - 45 ft²
d=√ 250,000 ft² - 2025 ft²
d = √247,975 ft²
d = 497.97 ft
d= 498 ft (Approximately)
Inconclusion the horizontal distance between the wall and the end of the zip-line is:498 ft.
Learn more about horizontal distance here:https://brainly.com/question/24784992
The critical points of a rational inequality are -1, 3, and 4. Which set of points can be tested to find a complete
solution to the inequality?
x= 1 and x = 3.5
x= -1, x= 3, and x = 4
O x = -2, x = 2, and x = 5
O x= -3, x= 1, x= 3.5, and x = 5
Nexty
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Mark this and return
Answer:
It's D I got it right
Step-by-step explanation:
I know
Answer:
D
Step-by-step explanation:
x = –3, x = 1, x = 3.5, and x = 5
Help me please due 10 minutes
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
what is 60 divided by 95 (or is it the other way around?)
Answer:
it would be 95 divided by 60
Step-by-step explanation:
but the answer to that is 1.5833333333333333333
What is the rule for the reflection?
ry=x(x, y) → (–y, –x)
ry=–x(x, y) → (–y, –x)
ry=x(x, y) → (y, x)
ry=–x(x, y) → (y, x)
Answer:
B
Step-by-step explanation:
Answer:
B. ry=–x(x, y) → (–y, –x)
Step-by-step explanation:
Two large and 1 small pump can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool? Please help me answer I'm in 5th grade and this is so hard.
Answer:
Let's define.
L = rate at which the large pump fills the pool.
S = rate at which the small pump can fill the pool.
We have two relations:
"Two large and 1 small pump can fill a swimming pool in 4 hours."
(2*L + S)*4h = 1
"One large and 3 small pumps can also fill the same swimming pool in 4 hours."
(L + 3*S)4h = 1
Then we have the system of equations:
(2*L + S)*4h = 1
(L + 3*S)4h = 1
To solve this system, we need to isolate one of the variables in one of the equations, i will isolate S in the first equation:
S = 1/4h - 2*L
Now we can replace that in the second equation:
(L + 3*(1/4h - 2*L))4h = 1
L + (3/4h) - 6*L = 1/4h
-5*L = 1/4h - 3/4h = -2/4h
L = (2/4h)*(1/5) = (2/20h) = 1/10h
This means that one large pump needs 10 hours to fill one pool.
With this, we can find the value of S:
S = 1/4h - 2*L = 1/4h - 2/10h = 5/20h - 4/20h = 1/20h
This means that a small pump needs 20 hours to fill a pool.
Now we can answer:
How many hours will it take 4 large and 4 small pumps to fill the swimming pool?
We need to solve the equation:
(4*(1/10h) + 4*(1/20h))*T = 1
We need to find the value of T.
T = 1/((4*(1/10h) + 4*(1/20h)) = 1.67 hours.
This means that 4 large and 4 small pumps need 1.67 hours to fill a pool.
What is the value of x
a 10
b -12
c -10
d-9
HELPP PLEASEE!!
three times the sum of a number and 9 is 8
use the variable W for the unknown number
plz help Find a pattern for the sequence. Use the pattern to show the next two terms. 20 17 14 11...
Answer:
8,5
Step-by-step explanation:
20,17,14,11,8,5,2,
can someone please help me!!
Answer:
The probability is
Step-by-step explanation:
11%
Select all ratios equivalent to 3:5.
6 : 10 10 : 25 25 : 15
Can some one help me.
SOMEBODY PLS HELP ILL MARK U BRAINLIEST
Answer:
- 16x + 3y
Step-by-step explanation:
this can be done in two ways- vertical method or horizontal :
I did one:
( i hope this is right)
i'm stuck, plsss help ASAPP!!! :))
Answer:
15 units
Step-by-step explanation:
[tex]d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
d = 14.866
d = 15
What is the unit rate for 46$ for 5 toys
Answer:
The unit rate is $9.20 per toy
Step-by-step explanation:
Since the total of the toys is 46, you divide by 5, to see how much each toy is
can someone help! with this please.
write an equation for each line in slope intercept form
Answer:
(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly kcharacterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness
Step-by-step explanation:(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness
Helpppp I’ll give you a star
Answer:
b
Step-by-step explanation:
b
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8
Answer:
x = -2, x = 6
Step-by-step explanation:
18 = 3|x - 2| + 6
12 = 3|x - 2|
4 = |x - 2|
4 = x - 2 and -4 = x - 2
x = 6 and x = -2
Answer:
C
Step-by-step explanation:
x = -2 x = 6
got it right on EDGE
h*es on me left and..
Answer:
gl*ck 9 put em out like a light
Step-by-step explanation:
Coupe tinted like a thief in the night
There were some people on a train.
18 people get off the train at the first stop and 21 people get on the train.
Now there are 65 people on the train.
How many people were on the train to begin with?
Answer:
62
Step-by-step explanation:
let there be X people in the beginning
so
X-18+21=65
X+3=65
X=65-3
X=62
Solve: 10 < 12x + 41
Answer:
8
Step-by-step explanation:
what is the percent decrease from 9,000 to 0
Answer:
-100%
Step-by-step explanation:
Answer:
-100
Step-by-step explanation:
I got u bro
hey! im confused on this. ill give more points if you end up being correct :)
Answer:
A
Step-by-step explanation:
a plumber charges a flat fee of $79 to visit a home and examine a clogged drain the plumber charges an additional $24 per hour spent fixing the drain. the total cost C in dollars for fixing to dream that takes H hours is given by the following :
C=24h + 79
question 1 ? what is the total cost for fixing a drain that takes 5 hours ?
question 2? if the plumber charged a total of $343 how many hours did he spend fixing to drain ?
i just wanted to make sure my answers are correct could someone tell me if they are or not correct or tell me which ones are wrong?
14. Is B
16. Is B
correct
Kylie is hosting a movie marathon over the weekend. There will be p people at the party altogether. Kylie estimates she'll need one bag of cheese popcorn and one pack of gummy worms per person. A bag of cheese popcorn costs $2.50, and a pack of gummy worms costs $1.50.
what type of angle is this?
URGENT‼
The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:
I. 10 yards
II. 44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?
Option A: I, only
Option B: II, only
Option C: I and III
Option D: II and III
The values of following are 10 yards = 0.009144 km, 44,880 feet = 13.678, 15,560 yards = 14.228
What is kilometer ?"The kilometer spelt kilometer in American English, is a unit of length in the metric system, equal to one thousand meters (kilo- being the SI prefix for 1000). It is now the measurement unit used for expressing distances between geographical places on land in most of the world; notable exceptions are the United States and the United Kingdom where the statute mile is the unit used."
Given,
(i) 10 yards
1 yard = 0.0009144
then 10 yard = 10*0.0009144 = 0.009144 km
(ii) 44,880 feet
1 feet = 0.00030478
then 44,880 feet = 44,880*0.00030478 = 13.678 km
(iii) 15,560 yards
15,560 yards = 15,560 *0.0009144 = 14.228 km
Hence, D is the correct option.
To know more about kilometer here
https://brainly.com/question/9135515
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Your parents take your family out to dinner on a Wednesday night when they have a 15% off coupon. Your parents wanted to give the waiter a 18% tip for doing a great job. If the total amount of the dinner was $42.00, how much tip money should the waiter get? What is the new total? **Tip is given before the discount**
Answer:
a. Tip is before the discount so the waiter will get;
= 42 * 18%
= $7.56
b. New total;
Coupon of 15% off applies;
= 42 * (1 - 15%)
= $35.70
Add the tip;
= 35.70 + 7.56
= $43.26