Answer:

Explanation:
The incident angle is
so the reflected ray will also be
.
The normal divides the angle between the incident and reflected ray. So, the angle between them would be

So, the angle between the incident and reflected rays is
.
Explanation:
Given that,
The disintegration constant of the nuclide, 
(a) The half life of this nuclide is given by :



(b) The decay equation of any radioactive nuclide is given by :


Number of remaining sample in 4.44 half lives is :


So, 

(c) Number of remaining sample in 14.6 days is :


So, 

Hence, this is the required solution.
Answer:
Explanation:
The east vector is 10cos45 = 7.07 km
The north vector is 10sin45 - 10 = -2.93 km
The displacement magnitude is
d = √(7.07² + 2.93²) = 7.65... = 8 km
θ = arctan(-2.93/7.07) = -22.51... = 23° south of east.
Answer:
The cable run exceeds the specifications for Ethernet over twisted pair.
Explanation:
When using an Ethernet network, the network's router also serves as a bridge to the Internet. The router connects to the modem, which carries the Internet signal, sending and receiving data packet requests and routing them to the proper computers on the network. Ethernet is a way of connecting computers together in a local area network or LAN. It has been the most widely used method of linking computers together in LAN s since the 1990 s. The basic idea of its design is that multiple computers have access to it and can send data at any time.
Answer:
The change in temperature is
Explanation:
From the question we are told that
The temperature coefficient is 
The resistance of the filament is mathematically represented as
![R = R_o [1 + \alpha \Delta T]](https://tex.z-dn.net/?f=R%20%20%3D%20%20R_o%20%5B1%20%2B%20%5Calpha%20%20%5CDelta%20T%5D)
Where
is the initial resistance
Making the change in temperature the subject of the formula
![\Delta T = \frac{1}{\alpha } [\frac{R}{R_o} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BR%7D%7BR_o%7D%20-%201%20%5D)
Now from ohm law

This implies that current varies inversely with current so

Substituting this we have
![\Delta T = \frac{1}{\alpha } [\frac{I_o}{I} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7BI%7D%20-%201%20%5D)
From the question we are told that

Substituting this we have
![\Delta T = \frac{1}{\alpha } [\frac{I_o}{\frac{I_o}{8} } - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7B%5Cfrac%7BI_o%7D%7B8%7D%20%7D%20-%201%20%5D)
=> 