How can you use slope to determine whether the parallelogram is a rectangle?
1 answer:
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Answer:
Ф =
Step-by-step explanation:
It is a bit difficult to input the work here, so I uploaded an image
- First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of
and
so these are the solutions to the problem
Answer:
Step-by-step explanation:
3 out of 12 children at the day care center are 5-year-olds. So, the probability of a randomly selected child being a five-year old is , or
.