Start by using trig to find the length of the line LJ
The triangle KJL (big right angled triangle) has been given the following dimensions
Hypotenuse =
![8 \sqrt{2}](https://tex.z-dn.net/?f=8%20%5Csqrt%7B2%7D%20)
The adjacent angle is 30 degrees
Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse
Opposite= sin30 x
![8 \sqrt{2}](https://tex.z-dn.net/?f=8%20%5Csqrt%7B2%7D%20)
Opposite=
![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D%20)
Therefore line LJ is
![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D%20)
Now look at the smaller right angled triangle (LMJ)
Hypotenuse is the line LJ which is
![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D%20)
The adjacent angle is 45
Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h
therefore
x=
![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D%20)
* sin45= 4
Answer:
As the depth decreases. the temperature of the water increases.
Step-by-step explanation:
The graph is showing the depth increasing (to the right) and the temperature decreasing (down).
Locate the y-intercept on the graph and plot the point.
From this point, use the slope to find a second point and plot it.
Draw the line that connects the two points.
1 and 146
2 and 73
and that's about it
Answer:
c. -17
Step-by-step explanation:
We have the function f(x) = -2t^2 + 1 and we need to solve for x if f(-3).
Substitute the x in the function with the x in the equation :
f(-3) = -2(-3)^2 + 1
Solve for the answer :
f(-3) = -2(9) + 1
f(-3) = -18 + 1
f(-3) = -17
Therefore, c. -17 is the answer.