To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
at half-life,
ln 1/2 = -k(6)
k = 0.12/hr
An = 80e^-0.12(14)
An = 15.87 mg
The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
</span>
Tan(α)=Opposite leg/Adjacent leg
α=30°
Opposite leg=x
Adjacent leg=200 feet
When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:
Tan(α)=Opposite leg/Adjacent leg
Tan(30°)=x/200
You must clear "x":
x=200xTan(30°)
Therefore, the value of "x" is:
x=115 feet
<span>
How high above the ground the is the helicopter?
The answer is: 115 feet</span>
Assuming you are multiplying 5 times 2/11 then you just put 5/1 because anything divided by 1 is still one, and then multiply 5/1 by 2/11. Meaning, 5 times 2 is 10. And 1 times 11 is 11. So it would be 2/11. You multiply the numerators(top number) and denominators(bottom number). 2/11 is already simplified
Answer:
The answer is 1 5/6
Step-by-step explanation:
Answer:
C. 72 cm^3
Step-by-step explanation:
Volume of rectangular prism is length times width times height
