See the attached sketch. Let
denote angle ABC and
denote angle CBD. Then
.
From the sketch, we see that


Write
in terms of
. Recall the angle sum identity for tangent:

This gives us

and plugging in
leaves us with

and so AD = 5 * 37/55 = 37/11.
Answer:
X + P = 34
330X + 250P = 9620
Step-by-step explanation:
The question tells us that there were 34 consoles sold. Therefore, we can draw the straight forward conclusion that whatever combination of consoles were sold, the number Xboxes (X) and PS4s (P) sold together has to be 34 in total. Thus:
X + P = 34
Now, we know the each Xbox sold for $330, and each PS4 sold for $250, and the total sales from the consoles bought was $9620. Thus:
$330X + $250P = $9620
Hope this helps!
Answer:

Step-by-step explanation:
Think of a right triangle. It may help you to draw it.
Start at a point. Draw a point and label it point A. That is where the plane takes off from. Now draw a diagonal segment tilted up to the right and stop at a point and label it B. Segment AB is the path of the airplane. Now draw a segment down vertically to a point you will label C, so that points A and C are on the same horizontal line. Connect points A and C.
You now have a right triangle. Angle C is the right angle. AB is the hypotenuse and is 5.4 km. That is the actual distance the plane traveled. BC is 1.12 km (since 1120 m = 1.12 km) and is a leg of the right triangle. The angle you are looking for is angle A.
For angle A, BC is the opposite leg. AB is the hypotenuse.
The trig ratio that relates the opposite leg to the hypotenuse is the sine.





Answer: 12.0 degrees
Answer:
b
Step-by-step explanation: