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:
Step-by-step explanation:
Explicit formula of the sequence,
sin 45 = opp/hyp
sin 45 = 4 / y
y = 4/sin 45
y = 4 /((sqrt2)/2)=4* sqrt(2)
tan 45 =opp/adj
tan 45 = 4/(x-3)
1 = 4/(x-3)
x-3 = 4
x=7
B
Answer:
$4.34
Step-by-step explanation:
Given the information:
- The original price: $5
- Discount : 20%
- Tax: 8.5%
We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:
= the original price (100% - discount rate)
= 5(100% -20%)
= $4
- The tax amount she need to pay is:
= The actual price*tax rate
= $4*8.5%
= $0.34
=> the total cost of the bunch of balloons :
The actual price + tax price
= $4 + $0.34
= $4.34
Hope it will find you well.
