Answer:
24
Step-by-step explanation:
there are six sides of a dice, numbered one through six. 5 and 6 are greater than four, so there is a 2/6 chance that you will roll a number greater than 4, or 1/3. multiply 72 times 1/3 and that equals 24. 24 out of the 72 (24/72 = 1/3)times is how much you could expect to get a number greater than 4.
<em>The range is 6.25 and the interquartile range is 3.25.</em>
Given :
- CD is the altitude to AB.
A = 65°.
To find :
- the angles in △CBD and △CAD if m∠A = 65°
Solution :
In Right angle △ABC,
we have,
=> ACB = 90°
=> CAB = 65°.
So,
=> ACB + CAB+ZCBA = 180° (By angle sum Property.)
=> 90° + 65° + CBA = 180°
=> 155° +CBA = 180°
=> CBA = 180° - 155°
=> CBA = 25°.
In △CDB,
=> CD is the altitude to AB.
So,
=> CDB = 90°
=> CBD = CBA = 25°.
So,
=> CBD + DCB = 180° (Angle sum Property.)
=> 90° +25° + DCB = 180°
=> 115° + DCB = 180°
=> DCB = 180° - 115°
=> DCB = 65°.
Now, in △ADC,
=> CD is the altitude to AB.
So,
=> ADC = 90°
=> CAD = CAB = 65°.
So,
=> ADC + CAD +DCA = 180° (Angle sum Property.)
=> 90° + 65° + DCA = 180°
=> 155° +DCA = 180°
=> DCA = 180° - 155°
=> DCA = 25°
Hence, we get,
- DCA = 25°
- DCB = 65°
- CDB = 90°
- ACD = 25°
- ADC = 90°.
Answer:
1.
- Heat capacity is defined as the total amount of heat required to increase the temperature of a substance in 1°C.
- Specific heat is defined as the total amount of heat required to increase the temperature of a substance in 1°C per unit mass. Hence this property depends of the mass of the substance.
- Latent heat is the amount of energy absorbed or released by a substance in a phase change (physical change) without a change in temperature.
2.
- Degrees of freedom is the number of parameters that define the configuration of a system. For example, in a system with we want to know about the dynamic in the three dimension x,y,z and also about the rotation around a fixed axe we have four degrees of freedom.
- Equipartition theorem relates the temperature of a system with the average energy of the system (this average is taken for those degrees of freedom that appears quadratically).
I hope this is useful for you
regards
