Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 106 ft from camera 2, which was 133
ft from camera 3. Cameras 1 and 3 were 151 ft apart. Which camera had to cover the greatest angle?]
A. Camera 3
B. Cannot tell
C. Camera 2
D. Camera 1
A. Camera 3
B. Cannot tell
C. Camera 2
D. Camera 1
1 answer:
Correct Answer:
Option C. Camera 2
The greatest angle is always opposite to the side measure greater in length. So first we find the greatest side.
The distance between cameras is:
Camera 1 and Camera 2 : 106 feet
Camera 2 and Camera 3 : 133 feet
Camera 1 and Camera 3 : 151 feet
So the largest side of the triangle is the side between camera 1 and camera 3. So the camera opposite to this side will have to cover to greatest angle. The camera opposite to this side is Camera 2. This scenario is also shown in figure below.
Therefore, Camera 2 had to cover the greatest angle.
Option C. Camera 2
The greatest angle is always opposite to the side measure greater in length. So first we find the greatest side.
The distance between cameras is:
Camera 1 and Camera 2 : 106 feet
Camera 2 and Camera 3 : 133 feet
Camera 1 and Camera 3 : 151 feet
So the largest side of the triangle is the side between camera 1 and camera 3. So the camera opposite to this side will have to cover to greatest angle. The camera opposite to this side is Camera 2. This scenario is also shown in figure below.
Therefore, Camera 2 had to cover the greatest angle.
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Answer:
All the options are correct.
Step-by-step explanation:
Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.
The pattern which she choses is where n denotes the number of days.
A)
The graph of this sequence would pass the vertical line test.
" Vertical line test: A function can only have one output, y, for each unique input, x " .
Here also y=2^n and x=n.
B)
Each day corresponds to a unique amount of pennies in this sequence.
Since the sequence is increasing, hence option B is correct.
C)
The graph of this sequence would pass the horizontal line test.
A test use to determine if a function is one-to-one.
As for each n we get a unique value.
Hence, option C is correct.
D)
Each amount of pennies corresponds to a unique day in this sequence.
This option is also true as each amount is a function of number of days.