Find the measure of <2
2 answers:
Answer:
Step-by-step explanation:
In every parallelogram, when you have two diagonal segment bisectors, you will always have a circumcentre showing all midpoints of both segment bisectors, plus, it measures 90° all around, so to get the m∠2, simply do this:
180° = 30° + 90° + m∠2
180° = 120° + m∠2
- 120° - 120°
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(See attached picture for the diagram of both fuel tanks)
Answer:
2ft
Step-by-step Explanation:
==> Given:
Two cylindrical fuel tanks, one has a radius of 3ft, and height of 8ft, the second tank has a radius of 6ft and unknown height.
Also, volume of 1st tank = volume of 2nd tank
==> Required:
Find h = unknown height of the the 2nd tank.
=>Solution:
To find the height of the 2nd tank = h, we need to know the volume. Thus, volume of first tank = volume of 2nd tank.
Since the dimensions of the 1st tank are all given, let's find its volume.
Thus, volume of 1st tank using the formula V = πr²h (where π = 3.14, r = 3ft, h = 8ft)
V = 3.14*3²*8
= 3.14*9*8 = 226.08 ft³
Volume of first tank = volume of 2nd tank = 226.08 ft³
=> Let's find the height of the 2nd tank with same volume of 226.08ft³
Therefore, V = πr²h (V = 226.08, r = 6ft, h = ?)
226.08 = 3.14*6²*h
226.08 = 3.14*36*h
226.08 = 113.04*h
226.08/113.04 = h
2 = h
Height of the second fuel tank (h) = 2ft
Answer:
Using continuous interest 6.83 years before she has $1600.
Using continuous compounding, 6.71 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
Continuous compounding:
The amount of money earned after t years in continuous interest is given by:
In which P(0) is the initial investment and r is the interest rate, as a decimal.
If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?
We have to find t for which when
Using continuous interest 6.83 years before she has $1600
If the compounding is continuous, how long will it be?
We have that
Then
Using continuous compounding, 6.71 years.