For the given triangle, the cosine of angle A equals
.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9 units, the adjacent side has a length of 3√3 units while the hypotenuse of the triangle measures 6√3 units. To calculate the cosine of angle A we divide the adjacent side by the hypotenuse side.
cos A =
.
Step 2; Length of the adjacent side = 3√3 units.
Length of the hypotenuse side = 6√3 units.
cos A = 3√3 / 6√3
cos A =
.
To check we also have A = 60° and cos 60° =
.
120
You can find out how many she has graded by multiplying 150 by the decimal version of 20% (.20). Then, subtract the number you get by 150.
Answer:
5
Step-by-step explanation:
Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)
Step-by-step explanation:
To find a linear equation you must look at the line already drawn on the graph and its points to make a linear equation. You also have to follow the formula y=mx+b. M will be your slope or your rise over run on your graph. You can find the slope by choosing two points on the line and dividing them. For example, (2, 1) and (5, 3). You have to subtract y2 from y1 and then x2 from x1. This will be 3-1/5-2= 2/3= 0.6666.... After you find that, you will use 2 for our x (you can use any x point on the line that you would like). Lastly, to find our b we just have to find the point value that intersects the x-axis. If you need another example please let me know and I'd be happy to help!
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Answer:
y = 6^x -3
Step-by-step explanation:
The graph is that of an exponential function that has been translated downward. We notice the horizontal asymptote is -3, and a couple of points on the graph are (0, -2) and (1, 3).
The shifted parent function will look like ...
y = a·b^x +c
where c is the horizontal asymptote. Using the two points we found, we have ...
-2 = a·b^0 -3 . . . . . using (x, y) = (0, -2)
1 = a . . . . . . . . . . add 3 and simplify
Then using (x, y) = (1, 3), we have ...
3 = b^1 -3
6 = b . . . . . . . . . add 3 and simplify
So, the equation is ...
y = 6^x -3