A meteorologist says that there is a 50% greater chance of rain than no rain on Wednesday. What is the probability that it will
1 answer:
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Given:
The given equation is
To find:
All the real solutions.
Solution:
We have,
It can be written as
Using zero product property, we get
and
and
and
We know that is an imaginary number because there is a negative sign under the square root.
Therefore, is the only real solution of the given equation.
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
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