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LiRa [457]
3 years ago
10

Eight striped ties and 6 polka dot ties are on a

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer: 6 out of 14 or 3 out of 7

Step-by-step explanation: just add up all the ties and put polka dot ties out of the total and

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What is the slope of this line? (The answer should be a decimal.)
Airida [17]

Answer:

10/3 = 3.3333333...

Step-by-step explanation:

Point A -> (x₁,y₁) -> (0,1)

Point B -> (x₂,y₂) -> (3,11)

Slope -> (y₂-y₁)/(x₂-x1) -> (11-1)/(3-0) -> 10/3 -> 3.3333

Therefore, the slope of the line is 3.3 repeating

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4 0
3 years ago
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 85 meters above the road surf
Dmitry_Shevchenko [17]

Answer:

The required height of the cable is 21.25 meter

Step-by-step explanation:

Consider the provided information.

A suspension bridge with weight uniformly distributed along its length has twin towers that extend 85 meters above the road surface and are 800 meters apart.

Let the road surface is the x-axis, and the point (0,0) represents the point that is on the road surface midway between the two towers.

Now it will form an upward parabola whose vertex is at (0,0), one on either side of vertex at a distance x= 400 or x= -400, and y for each of these points is 85.

The equation of parabola is: y=ax^2

Substitute (400,85) in above formula

85=a(400)^2

\frac{85}{160000}=a

Therefore, the required equation is y=\frac{85}{160000}x^2

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So substitute x=200 in above equation.

y=\frac{85}{160000}(200)^2

y=\frac{85}{160000}(40000)

y=\frac{85}{4}

y=21.25

Hence, the required height of the cable is 21.25 meter

5 0
3 years ago
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