We can solve for the resultant x and y components by using
the sine and cosine functions.
resultant x = 2.5 cos 35 + 5.2 cos 22 = 6.87 km
resultant y = 2.5 sin 35 + 5.2 sin 22 = 3.38 km
The resultant displacement is calculated using hypotenuse
equation:
displacement = sqrt (6.87^2 + 3.38^2)
displacement = 7.66 km
The resultant angle is:
θ = tan^-1 (3.38 / 6.87)
θ = 26.20°
Therefore the magnitude and direction is:
7.66 km, 26.20° to the ground
Answer:
Option C is the correct answer.
Explanation:
By Charles's law we have
V ∝ T
That is

Here given that
V₁ = 0.20 cubic meter
T₁ = 333 K
T₂ = 533 K
Substituting

New volume of the gas = 0.3198 m³
Option C is the correct answer.
Answer:
The length of her shadow is changing at the rate -2 m/s
Explanation:
Let the height oh the street light, h = 22 ft
Let the height of the woman, w = 5.5 ft
Horizontal distance to the street light = l
length of shadow = x
h/w = (l + x)/x
22/5.5 = (l + x)/x
4x = l + x
3x = l
x = 1/3 l
taking the derivative with respect to t of both sides
dx/dt = 1/3 dl/dt
dl/dt = -6 ft/sec ( since the woman is walking towards the street light, the value of l is decreasing with time)
dx/dt = 1/3 * (-6)
dx/dt = -2 m/s
Answer:
The area is 15.502 km².
The fraction is 
Explanation:
Given that,
Daily average insolation = 6 kWh/m²
Efficiency = 20%
Population = 324 million
Per capita power = 1378 watts
Area of tennessee = 109250 km²
We need to calculate the daily power required
Using given data

Put the value into the formula



We need to calculate the total energy per day
Using given data


We need to calculate the out of total energy
Using energy and efficiency



We need to calculate the area
Using formula of area

Put the value into the formula


We need to calculate the fraction of Tennessee that is required to power
Using given data

Put the value into the formula


Hence, The area is 15.502 km².
The fraction is 