Answer:
Height of the building ≈ 947.34 ft
Step-by-step explanation:
Jack eyes are 5 ft above the ground .He is standing 500 ft from the base of a building .His line of sight forms angle with the top of the building at 67°. The height of the building can be computed below.
The illustration forms a right angle triangle. The opposite sight of the triangle is the unknown. The height of the building can be found by using the tangential ratio.
adjacent = 400 ft
angle = 67°
tan 67° = opposite/adjacent
tan 67° = a/400
cross multiply
a = 400 tan 67°
a = 400 × 2.35585236582
a = 942.34094633
Adding 5 ft to the total height of the building will be 5 + 942.34094633 = 947.34094633
Height of the building ≈ 947.34 ft
Answer
Option C is correct.
Explanation
We are told that the equation of a straight line is
y = 3x + 9
We are then told that if the 9 is replaced with a 3, what does this indicate?
When graphs are shifted upwards or downwards along the y-axis, the effect of this translation is shown in the new equation for the graph.
If a graph, y = f(x) is moved a units upwards on the y-axis, the new graph has an equation of y = f(x) + a
If a graph, y = f(x) is moved b units downwards on the y-axis, the new graph has an equation of y = f(x) - b
So, when a graph of y = 3x + 9 changes to y = 3x + 3, it indicates that 6 units have been subtracted from the original function; showing that the original function has been moved 6 units downwards.
Hope this Helps!!!
Answer:
y=1
Step-by-step explanation:
y= 4 - 2x
y= -5 + 4x
4 - 2x = -5 + 4x
4 + 5 = 4x +2x
9 = 6x
9/6 = x
3/2 = x
y= 4 -2(3/2)
y = 4 - 3
y = 1
Answer: C. -12 - 3 + 9
Step-by-step explanation:
-12 because the fish are 12 m <em>below</em> the ocean.
-3 because the fish swim <em>down</em>.
+9 because the fish swim <em>up</em>.
