Sharon can also benefit from the positive publicity that comes with being an environmentally friendly business. This can lead to increased sales and more customers.
Finally, operating her business in a more environmentally friendly manner can help Sharon save money on energy costs, as well as reduce her carbon footprint. This can help her save money in the long run, which can be reinvested into her business and help increase her profits.
Why might operating her business in a more environmentally friendly manner help increase Sharon’s profits?
Many consumers spend their money with businesses that are demonstrating sustainability and respect for key environmental issues.
The local state governments offer all businesses that care about the environment a massive influx of free cash annually.
Making environmentally friendly products is significantly cheaper than not.
Sharon can double the price of her products if they are made with even a small amount of consideration for the planet Sharon can double the price of her products if they are made with even a small amount of consideration for the planet
3 answers
solve 4cos(t)=3 in the interval from 0 to 2pi round to the nearest hundredth
EXPLAIN
EXPLAIN
To solve for t, we need to isolate the variable (t) on one side of the equation. Here's how we can do it:
4cos(t) = 3
cos(t) = 3/4
We know that cosine is positive between 0 and π/2 and also between 3π/2 and 2π. Therefore, we need to find the values of t in these intervals that satisfy cos(t) = 3/4.
Using a calculator, we can find that arccos(3/4) is approximately 0.72 radians or 41.41 degrees. So one solution is t = 0.72.
To find the other solution, we need to use the symmetry of the cosine function. Since cosine is an even function, we have:
cos(-t) = cos(t)
So if t is a solution, then -t is also a solution. In other words, the solutions occur at two points that are symmetric about the y-axis.
The value of arccos(3/4) is also valid in the fourth quadrant, which is symmetric to the first quadrant about the y-axis. Therefore, the other solution is:
t = -0.72 + 2π
or
t = 5.56
Therefore, the solutions for t are approximately t = 0.72 and t = 5.56 in the interval from 0 to 2π. Rounded to the nearest hundredth, we get t ≈ 0.72 and t ≈ 5.56.
4cos(t) = 3
cos(t) = 3/4
We know that cosine is positive between 0 and π/2 and also between 3π/2 and 2π. Therefore, we need to find the values of t in these intervals that satisfy cos(t) = 3/4.
Using a calculator, we can find that arccos(3/4) is approximately 0.72 radians or 41.41 degrees. So one solution is t = 0.72.
To find the other solution, we need to use the symmetry of the cosine function. Since cosine is an even function, we have:
cos(-t) = cos(t)
So if t is a solution, then -t is also a solution. In other words, the solutions occur at two points that are symmetric about the y-axis.
The value of arccos(3/4) is also valid in the fourth quadrant, which is symmetric to the first quadrant about the y-axis. Therefore, the other solution is:
t = -0.72 + 2π
or
t = 5.56
Therefore, the solutions for t are approximately t = 0.72 and t = 5.56 in the interval from 0 to 2π. Rounded to the nearest hundredth, we get t ≈ 0.72 and t ≈ 5.56.
1 answer