you can use the value of sin\
sin(theta) = 12/16
Now solve for theta, and do inverse sine
so theta would be 48.59037789
, or around 50 degrees
Answer:
B ) The slope of the triangle P and Q is equal to 2
Step-by-step explanation:
slope of a line, in this case is hypotenuse, is given by rise by run.
For triangle P
Here rise is 6 units and run is 3 units
slope= rise/run = 6/3 = 2
Also for triangle Q
rise is 3 and run is 1.5
hence slope= 3/1.5=2
hence 2 is the answer
-1
The inequality is negative 1
Height of the water increasing is at rate of 
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given 
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
<h3>Formula used: </h3>
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Answer:
K'= (-1,-1)
J'= (-1,-5)
L'= (0,-3)
Step-by-step explanation:
What you do here is, input the (x,y) coordinates into the translation.
For example, the original point K is (-3,5). Insert this into the translation.
(-3,5) → (-3+2, 5-8) = (-1,-3)
Repeat this for the next coordinates of L and J.
J= (-3,3)
(-3,3) → (-3+2, 3-8) = (-1,-5)
L= (-2, 5)
(-2, 5) → (-2+2, 5-8) = (0,-3)
