Answer:
The number is 49
Step-by-step explanation:
I used calculator gheheheh
112 m³
the solid is a rectangular pyramid with volume (V)
V = × area of base × height = × (8 × 4.2 ) × 10 = 112 m³
Your current balance if you started the day with $100 in your account is $73
First step is to calculate the total cash at bank
Using this formula
Total Cash at bank= Cash at bank + Deposit
Let plug in the formula
Total Cash at bank=$100+90
Total Cash at bank=$190
Second step is to calculate the amount debited
Debit amount=($60+$3)+($34+$20)
Debit amount=$63+$54
Debit amount=$117
Now let determine your current balance
Current balance=Total cash at bank-Amount debited
Let plug in the formula
Current balance=$190-117
Current balance=$73
Your current balance if you started the day with $100 in your account is $73
Learn more here:
brainly.com/question/22165984
There you go! Hope that helps
Answer:
we get:
= 1/2 ʃ02π ʃ14 ( √u -1)du dθ
= ʃ02π 11/12 dθ
= 11/6 π
Step-by-step explanation:
Given:
Radius = 2 units
Plane 1 unit from center of sphere.
The volume of D as an triple integral in spherical, cylindrical and rectangular coordinates are:
Spherical:
ʃ02π ʃ0π/3 ʃsecΦ2 p2 sinΦ dp dΦ dθ
Cylindrical:
ʃ02π ʃ0√3 ʃ1√4-r2 r dz dr dθ
Rectangular:
ʃ-√3√3 ʃ-√3-x2√3-x2 ʃ1√4-x2-y2 1dz dy dx
Solving the integral by using cylindrical coordinates:
ʃ02π ʃ0√3 ʃ1√4-r2 r dz dr dθ = ʃ02π ʃ0√3 r ( √(4-r2) -1) dr dθ
put u = 4-r2, by substituting,
we get:
= 1/2 ʃ02π ʃ14 ( √u -1)du dθ
= ʃ02π 11/12 dθ
= 11/6 π