Answer:
x = 99,53633682
Step-by-step explanation:
sin(34) = x/178
x = sin(34)×178
x = 99,53633682
Answer:
3x - y = -28
Step-by-step explanation:
Given the equation y-4 = 3(x+8), distribute and simplify to get the Standard Form.
y-4 = 3(x+8)
y - 4 = 3x + 24
y = 3x + 28
-3x + y = 28
Standard form does not allow the coefficient of x to be negative so multiply the equation by -1.
3x - y = -28
When you are looking at a graph, a minimum point would be where the curve is decreasing, then begins to increase. Right at the point where it switches, the slope is a horizontal line, or 0. We can take the derivative is f(x), then look for all the x values where the slope (which is equal to the first derivative) is equal to zero.
f'(x) = 2 * -4sin(2x - pi)
The 2 comes from the derivative of the inside, 2x-pi.
So now set the derivative equal to 0.
-8sin(2x-pi) = 0
We can drop the -8 by dividing both sides by -8.
sin(2x-pi) = 0
This can be rewritten as arcsin(0) = 2x-pi
So when theta equals 0, what is the value of sin(theta)? At an angle of 0, there is just a horizontal line pointing to the right on the unit circle with length of 1. Sine is y/h, but there is no y value so it is just 0. If arcsin(0) = 0, we can now set 2x-pi = 0
2x = pi
x = pi/2
This is a critical number. To find the minimum value between 0 and pi, we need to find the y values for the endpoints and the critical number.
f(0) = -4
f(pi/2) = 4
f(pi) = -4
So the minimum points are at x=0 and x=pi
Go to Calvin. Edu hope this helps.
Explanation:
Since we have given that
On Thursday,
Amount of rain fall on Deborah's garden = r centimeters
On Saturday,
15% more rain fell on the garden ,
So, amount of rain fall on Deborah's garden is given by
Now, it becomes
