8. A chair lift at a ski resort travels along the
cable as shown.
AY
6
4
O
U
w
w
2
t
0
0 2
4 6 8 10 12 14 16 18
1 unit = 10 ft
How long is the cable? Round your answer
to the nearest whole foot.
Answers
This value is approximate.
==========================================================
Explanation:
The cable is connected by these key points
A = (0,3)B = (6,5)C = (12,4)D = (18,2)Let's use the distance formula to find the length of segment AB.
[tex]A = (x_1,y_1) = (0,3)\\\\B = (x_2,y_2) = (6,5)\\\\d = \text{Distance from A to B} = \text{length of segment AB}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-6)^2 + (3-5)^2}\\\\d = \sqrt{(-6)^2 + (-2)^2}\\\\d = \sqrt{36 + 4}\\\\d = \sqrt{40}\\\\d \approx 6.325\\\\[/tex]
Segment AB is roughly 6.325 units long. You could use the pythagorean theorem as an alternative route instead of the distance formula.
If you repeated this process for the other segment lengths, then you should get these other approximate lengths.
BC = 6.083CD = 6.325Add up those three results:
AB+BC+CD = 6.325+6.083+6.325 = 18.733
The entire cable is roughly 18.733 units long.
Since 1 unit = 10 feet, we'll multiply that result by 10.
18.733*10 = 187.33 feet
This rounds to 187 feet which is the approximate length of the cable.
The length of the cable will be 187.2 feet long.
What is the distance between two points?Let one point be (x, y) and another point be (h, k). Then the distance between the points will be
D² = (x - h)² + (y - k)²
From the diagram, the length between (0, 3) and (6, 5), (6, 5) and (12, 4), and (12, 4) and (18, 2) will be the length of the cable (L).
[tex]\rm L = \sqrt{(6 - 0)^2 + (5-3)^2} + \sqrt{(12 - 6)^2 + (4 - 5)^2} + \sqrt{(18 - 12)^2 + (2 - 4)^2}\\[/tex]
Simplify the equation, then we have
L = √40 + √37 + √40
L = 6.32 + 6.08 + 6.32
L = 18.72 units
L = 18.72 x 10
L = 187.2 ft
The length of the cable will be 187.2 feet long.
Learn more about the distance between two points here:
https://brainly.com/question/18296211
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Related Questions
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Answer:
408
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136 accounts for one rectangular prism.
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Answer:
280 in²
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The mean age of 6 women in an office is 23 years old.
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
At stationary point (turning point), dy/dx :
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2. The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops. If there
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Throughout Singapore it has been estimated that about a billion (1 000 million) cubic meters of water are used each day. If we assume a population of 3 million, what is the rate of consumption of water per person?
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Answer:
333 cubic meters of water are used each day by one person
Step-by-step explanation:
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Answer:
856.3
Step-by-step explanation:
The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.
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Answer:
they collected altogether 63204 cans
so,they collected 13204 cans more than desired
Please helppp!!! I have this question for geometry and I can’t figure it out.
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Answer:
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Is 17 a interger or a counting number
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Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7
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Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
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To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
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Answers
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Answers
Answer:
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$1.15 = Estimate.
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Step-by-step explanation:
14 Divided 12.44
Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality
Answers
Answer:
step 1. Subtraction Property Of Equality
step 2.Associative Property Of Equality
step 3.Division Property Of Equality
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Answers
Answer:
58.3
Explanation:
x is the depth that the scientist started at. The asked equation is
x + 23.9 = 82.2
To find x, all we have to do is reverse the equation by doing
82.2 - 23.9 = x
This gives us x = 58.3
Solve the equation-
200=16(6t-3)
Answers
Hi ;-)
200 = 16(6t - 3)
16 · 6t - 16 · 3 = 200
96t - 48 = 200 / + 48
96t = 248 / : 96
t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
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The linear equation is given below.
200 = 16 (6t - 3)
Simplify the equation, then the value of the variable t will be
200 = 16 (6t - 3)
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t = 2.58
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Xavier buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of the juice per fluid ounce?
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How many fluid ounces of juice did Xavier buy?
Answers
Answer:
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2 lol
Answer:
Q1. $2.56
Q2. 2 fluid ounces
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Q2. 2 fluid ounces (inferred from qn)
PLS HELP ASAP PLS
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96 square feet
108 square feet
120 square feet
Answers
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1/2*3*4= 6 ft
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6*2=12
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That should be your answer!
A flea which is 8 x 10^-3 can jump 3.5 10^2 times of its own
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meters
Answers
Answer:
(8 × 10 ^-3) (3.5× 10 ^2)
= 2.8 meters
Select all expressions that are equivalent to x2 - 4x – 32.
0 (x – 16)(x + 2)
(x + 2)(x – 16)
(2 – )(x + 4)
(x + 8)(x – 4)
(x + 4)(x – 8)
(x – 4)(x+8)
Answers
Answer:
(x + 4)(x – 8)
Step-by-step explanation:
1. (x – 16)(x + 2)
x² - 2x - 16x - 32
x² - 18x - 32
2. (x + 2)(x – 16)
x² - 16x + 2x - 32
x² - 14x - 32
3. (2 – )(x + 4)
2x + 8
4. (x + 8)(x – 4)
x² - 4x + 8x - 32
x² + 4x - 32
5. (x + 4)(x – 8)
x² - 8x + 4x - 32
x² - 4x - 32
6. (x – 4)(x+8)
x² + 8x - 4x - 32
x² + 4x - 32
(-4, 6) and (3,-7)
Find the distance between each pair of points
Answers
Answer:
14.76482306
Step-by-step explanation:
distance equals the square root of (x2-x1)^2 + (y2-y1)^2.
think of your ordered pairs as set 1 and set 2. (-4, 6) would be set 1 and (3, -7) would be set 2. so your equation will look similar to: (3- -4)^2 + (-7-6)^2 then you square root the whole thing and you will have your answer.
How do you solve this?
Answers
Answer:
Its minus 70 every time
Step-by-step explanation:
n=32
Answer:
it will take 36 months to completely pay the loan
Step-by-step explanation:
see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380
every month we have to substract 70
so we can make a pattern
0 months = 2520
1 month = 2450 that is 2520 - 70
2 months = 2380 that is 2520 - (2 × 70)
3 months = 2310 that is 2520 - (3 × 70)
.....
then it continues till n months
so
n months = 2520 - (n ×70)
n months = 2520 - (36 × 70)
36 months = 2520 - 2520
Rewrite in simplest terms: -10f – 6(-9f +2)
Answers
Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
[tex]44f - 12[/tex]
Step-by-step explanation:
[tex] - 10f - 6( - 9f + 2)[/tex]
[tex] - 6( - 9 + 2)[/tex]
[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]
[tex]6 \times 9f - 6 \times 2[/tex]
[tex]54f - 6 \times 2[/tex]
[tex]54f - 12[/tex]
[tex] - 10f + 54f[/tex]
[tex]( - 10 + 54)f[/tex]
[tex] = 44f - 12[/tex]
At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?
Answers
Answer:
If there were only 100 students, there would be enough food for 3 days.
Step-by-step explanation:
Set up an equation:
Variable x = number of days
150/5 = 100/x
Cross multiply:
150 × x = 5 × 100
150x = 500
x = 3.3333...
Round down to a whole number which represents a full day of food.
x = 3
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answers
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
Which numbers are a distance of 3.5 units from −4 on a number line?
A number line with increments of .5 with a range of 0 to negative 7.5
Select the two correct answers.
−7
−7.5
−6.5
−4.5
−3.5
−0.5
(help)
Answers
-4 - 3.5 = -7.5
-4 + 3.5 = -0.5