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Komok [63]
3 years ago
5

A rappelling rope used for outdoor programs, rescue and industrial work, can safely support a weight "W" (in pounds) provided, w

here "d" is the rope's diameter (in inches). Determine the diameter of rope that would be needed to support a weight of at least 5,500 pounds.
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

D =  ( d * 5500 ) / W

Step-by-step explanation:

Diameter of rope " d "  supports "w" weight

i.e.  d = W

d ( inches ) = W ( pounds )

   ? ( inches ) = 5500 pounds

The Unknown diameter  D ( ? ) = d * 5500 / W

 

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Whats the area of 8ft, 6ft and 2ft?
Vitek1552 [10]

Answer:

96

Step-by-step explanation:

8x6=48

48x2=96

5 0
3 years ago
Solve for x. 6x-10≤8 or 1/3 x+6>12
Feliz [49]

The solution is  

x\le 3 \:or \:x>18

EXPLANATION

6x-10\le 8\: or \frac{1}{3}x+6>12

We group like terms, to obtain;

6x\le 8+10\: or \frac{1}{3}x>12-6

Simplify to get,

6x\le 18\: or \frac{1}{3}x>6

We further simplify to get;

x\le 3\: or x>18

This can also be rewritten as;

x\le 3, x>18

Or

(-\infty 3] \cup (18,+ \infty)

This can be represented on the number line as shown in the diagram.


6 0
4 years ago
Read 2 more answers
What is the slope intercept of a line perpendicular to the line y=2x+3 with the point (-2,-4)
olchik [2.2K]

Answer:

y = - \frac{1}{2} x - 5

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 2x + 3 is in this form with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}

y = - \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 2, - 4) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = - \frac{1}{2} x - 5 ← equation of perpendicular line


4 0
3 years ago
What are the missing numbers?
pashok25 [27]
2.089 and 2.095 because it goes by thousandths.
7 0
3 years ago
Read 2 more answers
Please help urgently
Reika [66]

Answer:

<u>2</u>

Step-by-step explanation:

Take two points which lie on the line :

  • (0, 1)
  • (1, 3)

Gradient (slope) formula :

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  • m = <u>2</u>
5 0
2 years ago
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