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padilas [110]
3 years ago
15

Scale on a map of Ireland is 1.2 000000 how many square centimetres are represented on the map by the province of Munster.

Mathematics
1 answer:
zavuch27 [327]3 years ago
3 0

Question is incomplete, we will however explain how the scale works using examples

Answer and explanation:

Given the map scale 1:2000000, the fraction from this 1/2000000 is the representative fraction. The representative fraction is the ratio of distance on the map to the real distance on ground.

With the representative fraction 1/2000000, we can find how many meters on the ground is represented by a unit of measurement in centimeters on the map thus:

Given 1m= 100cm

Representative fraction broken down = 1/2×10000×100

Therefore 1cm on the map = 20000m on ground

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A 20.3 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless wall. The
VMariaS [17]

Answer:

Q = arctan(7.1739) = 82.06

Step-by-step explanation:

Given:

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- The gravitational constant g = 9.8 m/s^2

- The coefficient of static friction u_s = 0.23

- Total length of the ladder

Find:

The minimum angle θ, that would allow the person to climb without ladder slipping

Solution:

- Taking moments about point of ladder and wall contact A to be zero:

                   -F_n,b*cos(Q)*4 - F_f*sin(Q)*4+ m*g*cos(Q)*2.6 = 0

- Taking Sum of vertical forces to be zero:

                    F_n,b - m*g = 0

                    F_n,b = m*g

- The frictional force F_f is given by:

                   F_f = u_s*F_n,b = u_s*m*g

- Plug the values back in:

                  - m*g*cos(Q)*4 + u_s*m*g*sin(Q)*4 - m*g*cos(Q)*2.6 = 0

Simplify:

                  4*cos(Q) + 2.6*cos(Q) = u_s*4*sin(Q)

                        6.6*cos(Q) = 4*u_s*sin(Q)

                               tan(Q) = 6.6 / 4*u_s

- Plug in the values:

                               tan(Q) = 6.6 / 4*0.23

                                    Q = arctan(7.1739) = 82.06

                   

                     

4 0
3 years ago
I will mark you brainlest!
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Answer:

46 in²

Step-by-step explanation:

8 0
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