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deff fn [24]
3 years ago
8

Find the measure of angle 5. PLEASE HELP

Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer: 82

Step-by-step explanation:

The labeled angle of 82 is a corresponding angle to angle 8. Corresponding angles are equal, therefore angle 8 is 82 degrees as well. Angle 8 and 5 are vertical angles. Vertical angles are also equal. Since we now know angle 8 is 82, this means angle 5 is also 82.

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If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

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3 years ago
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