Answer:

Step-by-step explanation:
-Given that ΔBCD is a right triangle with ∠D=90° as in the attached figure.
-The ratio of Cos of ∠B can be obtained using the right triangle identities:

Hence, the cosine of ∠B can be represented by the ratios 
Answer:
15%
Step-by-step explanation:
180 x 15% = 27
Answer:
3.1 miles
Step-by-step explanation:
2.5 + 4.4 = 6.9
10 - 6.9 = 3.1
Total pressure is constant and PT = P = 1/2*ρ*v^2
So p1 + 1/2*ρ*v1^2 = p2 + 1/2*ρ*v2^2 and from continuity we have ρ*A1*v1 = ρ*A2*v2
So v2 = v1*A1/A2 since r2 = 2r1 then A2 = 4A1
so v2 = v1/4
Now from above p2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v2^2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v1^2/4^2
So p2 = 3.0x10^4Pa + 1/2*1000kg/m^3*(12m/s)^2 - 1/2*1000kg/m^3*12^2/16
= 9.75x10^4Pa = 9.8x10^4Pa
Answer:
V = 118 in³
Step-by-step explanation:
The volume of a cone of radius r and height h is V = (1/3)(π)(r^2)(h).
In this case, the volume is V = (1/3)π(3 in)^2·(6 in), or π(18 in³)
Using 3.14 as the approximate value of π, we get V = 118 in³