In a triangle abc, angle A=67 degrees and angle B=32 degrees. What is the measure of angle C?
2 answers:
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Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
b. After 8 bounces we can apply the previous formula with n = 8 to get
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
Answer:
One scientist was working two molecules:
And verified that geometrically speaking, those are trigonal planar molecules made up of an equilateral triangle. He designed both molecules and classified them as Plane dihedral Groups. Was he correct? Why?
Step-by-step explanation:
Yes He was right. Place one atom in the centroid of the equilateral triangle (S or B), and each atom in each vertex(O or F).
We can apply geometric transformations (plane) rotations: R0, R2π/3, R4π/3
(And spatial ones, as R1, R2, R3 180º rotation over each median.)
Composite functions show that this is not an Abelian Group:
