The usefulness is that this data allows you to understand how well students perform with their instruction, based on a standardized test. The limitation is that the scores don't account for different situations that may affect the results you receive.
Answer:
Step-by-step explanation:
Let the height of the street lamp be x
Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.
- sin 40° = x/20
- x = 20sin 40°
- x ≈ 12.86 ft
1. 1 7/8
wait a minute for me to answer number 2
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.