Answer:
y ≈ 12.3
Step-by-step explanation:
Using the SOH CAH TOA identity to get the value of y as shown;
sin theta = opposite/hypotenuse
opposite = y
hypotenuse = 15cm
theta = 180-(35+90)
theta = 180-125
theta = 55 degrees
sin 55 = y/15
y = 15sin55
y = 12.287
y ≈ 12.3 (to the nearest tenth)
Answer:

Step-by-step explanation:
In coordinate geometry distance between the two points can be find by using the distance formula:
For two points :

For points: P(3,-1) and Q(-5,6)
Distance (PQ):

<h3>
Answer: Choice B) 468 cm^2</h3>
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Explanation:
As the diagram shows, we have a triangular face with a base of b = 18 and height of h = 13. The area of this triangular face is:
A = 0.5*b*h
A = 0.5*18*13
A = 117 square cm or cm^2
This represents the area of one face, but there are 4 identical copies of this triangular face assuming this tetrahedron is a regular polyhedron. So we have a total surface area of 4*117 = 468 cm^2 which points us to choice B
This is the amount of paint you'll need to cover the outer surface of the pyramid, or you can think of it as the amount of wrapping paper needed. This assumes there are no gaps or overlaps.