It looks like the given equation says
When <em>x</em> = 0, you have
Differentiating both sides with respect to <em>x</em> gives
That is, the derivative operator distributes over sums, and the derivative of a constant is 0; apply the product rule on the first term and chain rule on the second; then use chain rule one more time.
Now plug in <em>x</em> = 0 and <em>y</em> = 5, and solve for <em>y'</em> :
Answer:
b = 65 degrees
Step-by-step explanation:
As we can see, the line that angle b and 115 deg correspond to is a straight line. A straight line <em>always</em> measures at 180 deg.
Because of this principle, we know that:
We can simplify this one variable equation now:
Now solve:
And this makes sense. Just by eyeballing the angle, we can see that it is under 90 degrees.
So, b = 65 degrees
The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
<h3>How to determine the equation?</h3>
The attached table of values represents the missing piece in the question.
Start by calculating the rate of change using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (14.77 - 10.55)/(7- 5)
Evaluate
m = 2.11
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 2.11(x - 5) + 10.55
Evaluate
y = 2.11x - 10.55 + 10.55
y = 2.11x
Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
Read more about linear equations at:
brainly.com/question/14323743
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cos is . So, if cos(a)= then use Pythagorean Theorem to determine the length of the "opposite" side.
5² + x² = 13²
25 + x² = 169
x² = 144
x = 12
Now that you know the length of the opposite side, you can plug it in for sin.
sin is . So, sin(a) =
Now, if you switch so you are looking for sin(b), the cos and sin also switch.
cos(b) = sin(a) =
sin(b) = cos(a) =
Answer: sin(b) =
That would be 6552 / 12 = 546 boxes.
(Im assuming that its 6552 ounces of cereal )