For this case, we have the following expression:
We simplify the expression:
If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that
So, we have to:
Answer:
-3x + x + 5 = -2x + 5
Step-by-step explanation:
Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.
In ΔJKL
s = JK+KL+LJ/2
= 25+7+21/2
= 28
then,
ΔJKL = √[s(s-a)(s-b)(s-c)]
= √[28(28-25)(28-24)(28-7)
= √(28×3×4×21)
= √(7056
= 84cm²
Again,
ΔJKL = 1/2×JL×LK×∠L
or, 84 = 1/2×24×7×sin x°
or, 84/168 = sin x°
or, 1/2 = sin x°
or sin 30° = sin x°
or x° = 30°
At last,
∠K+∠L+∠J = 180° (sum of angle of triangle)
or, ∠K+30°+90° = 180°
or, ∠K = 180°- 120°
or, ∠K = 60°
Answer:
75 feet
Step-by-step explanation:
45 divided by 6 is 7.5
7.5 times 10 is 75