<h3>
Answer: 0</h3>
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Explanation:
The original equation is in the form a+b = 1, where
a = sin(theta)
b = cos(theta)
Square both sides of a+b = 1 to get
(a+b)^2 = 1^2
a^2+2ab+b^2 = 1
(a^2+b^2)+2ab = 1
From here notice that a^2+b^2 is sin^2+cos^2 = 1, which is the pythagorean trig identity. So we go from (a^2+b^2)+2ab = 1 to 1+2ab = 1 to 2ab = 0 to ab = 0
Therefore,
sin(theta)*cos(theta) = 0
Answer:
Step-by-step explanation:
There are two shuffled decks each of which contains 12 cards.
we need to collect two cards, 1 card from each shuffled decks.
Taking the 1st suffled decks we need to drawn one. The probability of getting 6 from the 1st shuffled decks is . In this scenario we need to find the probability of not getting 6 from the 2nd shuffled decks. The probability of not getting 6 is .
The case can also be vice-versa, that is we can get one 6 from the 2nd shuffled decks.
Hence the total probability is .
Theoritical probability refers to those outcomes which we suppose to be happen. Experimental probability means the outcomes which can come true if tried.
The given scenario is an example of Experimental probability, as it can also be true if tried.
Answer:
A = 160 in²
Step-by-step explanation:
Split this up into 3 rectangles and find the area of each (A = bh). Then add up all the areas to get the total area of the figure.
Rectangle A
A = 10 x 7
A = 70 in²
Rectangle B
A = 11 x 6
A = 66 in²
Rectangle C
A = 4 x 6
A = 24 in²
Total Area
A = 70 + 66 + 24
A = 160 in²
Hope this helps and God bless!
Answer: 31.416
Step-by-step explanation: Multiply the diameter by pi OR you could divide the diameter by 2 and then use the formula 2(pi)(radius).