Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
In my opinion I think you would be able to make atleast 2 outfits
The average is (0.76+0.88) / 2 = 1.64 / 2 = 0.82
The area of this square is said to be 576 square inches.
The formula for the area of a square is the length of one side squared.
Let's use l to represent the side length.
This means l^2 = 576.
To find l, find the square root of both sides.
<span>√576 = 24
</span>
The length of each side of the square is 24 inches.
But the question is asking for it in feet.
12 inches = 1 foot so 24 inches = 2 feet
This means each side of the square is 2 feet long.
Answer:
2 feet
the time taken to get to your work place is 0.5 hour.
The given parameters;
- distance between your new job and your house = 25 miles
- speed to work, v = 50 mph
The time taken to get to work is obtained by dividing the distance between your new job and your house, by speed of your motion to work.
Distance = speed x time

Thus, the time taken to get to your work place is 0.5 hour.
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