Step-by-step explanation:
tan(Θ + 30°)
Use angle sum formula:
tan(A + B) = (tan A + tan B) / (1 − tan A tan B)
So we can write this as:
(tan Θ + tan 30°) / (1 − tan Θ tan 30°)
tan 30° = 1/√3, so:
(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)
Multiply top and bottom by √3:
(√3 tan Θ + 1) / (√3 − tan Θ)
Answer:
ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .
π x 82 cm2 x 12 cm
Raise 8 cm power of 2
π x 64.0 cm2 x 12 cm
Multiply 64.0 cm2 and 12 cm
π x 768.0 cm3
Combine π and 768.0 cm3
The result can be shown in multiple forms.
Exact Form
Volume = 768.0π cm3
∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3
Decimal Form
Volume = 2411.52 cm3
Step-by-step explanation:
Are there answer choices? If not, the older brother will get 5, and the younger sister will get 4.
Answer:
thanks for points.........
Answer:
$ 2.5
Step-by-step explanation:
Given that
Total Amount to be invested = P = $3400
Total Time of investment = t = 13 years
Rate of interest = r = 1.15 %
Lets calculate Simple interest first
As we know formula for simple interest is
Substituting the values
A = $ 3944.9
Lets now calculate the compound interest
As we know formula for simple interest is
As compound interest applies every 3 months so n =3
So,
A = $ 3947.4
Now Lets calculate how much more he will earn using compound interest.
It can be found by taking difference of compound interest and simple interest
Amount = 3947.4 - 3944.9 = $ 2.5
So Skyler must have earned 2.5 dollar more using the compound interest.
