Answer:
<h3>lt = lo/cos²θ</h3>
Step-by-step explanation:
Given the intensity of the transmitted light It and θ are related by the equation Cosθ= √ Io/It, we are to write lt as a function of lo
Given the equation
Cosθ= √ Io/It
Let us make lt the subject of the formula;
square both sides of the equation
(Cosθ)²= (√ Io/It)²
cos²θ = lo/lt
cross multiply
ltcos²θ = lo
divide both sides by cos²θ
ltcos²θ/ cos²θ= lo/cos²θ
lt = lo/cos²θ
Hence the expression of lt as a function of lo is lt = lo/cos²θ
Answer:
5
Step-by-step explanation:
multiply 1/10 by 50
1/10×50= 5
Jones takes 8 hours , therefore in one hour he paints a fraction of 1/8
smith takes 6 hours, thus in one hour he paints a fraction of 1/6
When working together they paint a fraction of 7/24 in an hour.
After 2 hours they will have painted a fraction of (7/24) ×2 = 7/12
The remainder will be 5/12 which will be undertake by smith alone.
Smith will therefore take 5/12 ×6/1 = 2.5 hour or 2 hours 30 minutes
Answer:
906 inches³
Step-by-step explanation:
The volume of a triangular pyramid = 1/3 (area of base) × h
area of the base = 1/2 × 19 × 13 = 123.5 inches²
v = 1/3 × 123.5 × 22 = 905.666... ≈ 906 inches³
The volume of the triangular pyramid is 906 inches³
Hope this helps!
Answer:
point slope form: y + 4 = 3/8 (x + 5) slope intercept: y = 3/8x - 17/8
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-4) / 3 - (-5)
slope = 3/8
y + 4 = 3/8 (x + 5)
y = 3/8x + b
-1 = 3/8(3) + b
-1 = 9/8 + b
-17/8
y = 3/8x - 17/8