1. The square on the inside is 8 x 8 = 64
2. The triangle's area is 8x9x1/2= 72 x 1/2 = 36
3. there are 4 triangles so 36 x 4 = (or 72 x 2 ) = 144 :)
Answer: 333.2ft
Step-by-step explanation:
We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)
The height of the building is the other cathetus.
Now, we know that the angle of depression from the top of the building to the car is 42°
This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:
90° - 42° = 48°
if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.
Here we can use the relation:
Tan(A) = Opposite cathetus/adjacent cathetus:
Then:
Tan(48°) = H/300ft
Tan(48°)*300ft = H = 333.2ft
Answer:
(c) (-3, 0) and (-5, 0)
Step-by-step explanation:
The given coordinates are -3 -(-5) = 2 units apart on the horizontal line y=-2.
Then the needed coordinates will be on the vertical lines x=-5 and x=-3, and will have y-coordinates that are different from -2 by 2: either -4 or 0.
The points that meet these requirements are (-3, 0) and (-5, 0).
Answer:
c
Step-by-step explanation:
<h3>Answer: Choice D
</h3>
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Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
- Choice A) This is true because as we approach x = 2 from the left hand side, the y values get closer to y = 1 from the top
- Choice B) This is true. As we get closer to x = 4 on the left side, the blue curve is heading downward forever toward negative infinity. So this is what y is approaching when x approaches 4 from the left side.
- Choice C) This is true also. The function is continuous at x = -3 due to no gaps or holes at this location, so that means its limit here is equal to the function value.
- Choice D) This is false. The limit does exist and we find it by approaching x = -4 from either side, and we'll find that the y values are approaching y = -2. In contrast, the limit at x = 2 does not exist because we approach two different y values when we approach x = 2 from the left and right sides (approach x = 2 from the left and you get closer to y = 1; approach x = 2 from the right and you get closer to y = -2). So again, the limit does exist at x = -4; however, the function is not continuous here because its limiting value differs from its function value.
- Choice E) This is true because the function curve approaches the same y value from either side of x = 6. Therefore, the limit at x = 6 exists.
