Answer:
see explanation
Step-by-step explanation:
Using the Addition formula for sine
sin(x ± y) = sinxcosy ± cosxsiny
Consider the left side
sin(360 - Θ ), then
= sin360°cosΘ - cos360°sinΘ
= 0 × cosΘ - 1 × sinΘ
= 0 - sinΘ = - sinΘ → verified
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so
- The length of the fencing is 80 meters, so
Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:
Then substitute for y in the first:
b) To maximize A, find the zero of the first derivative:
So y = (80-40)/2 = 20 meters.
To find the probability that A occurs given B occurs, multiply the Probability of A by the probability of B.
3/4 x 5/8 = 15/32
Answer:
12 cards is the correct answer of this questions.
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Answer: C) They have equal volumes
Step-by-step explanation:
Volume of Rectangular Prism = length x width x height
Green: 4 x 2 x 2 =16
Purple: 8 x 2 x 1 = 16