the sum of the measures of the central angles of a circle is 360°. Find the measures of each angle labeled x.
1 answer:
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Answer:
i) D: All real numbers
ii) R:
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is
The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is
The function has vertex .
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore or
iii) To find the y-intercept, put into the function.
The y-intercept is (0,2) or
See attachment for graph.
Answer: Yes the ladder will reach the fire
Step-by-step explanation: Please refer to the attached diagram for details.
The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.
The angle of the ladder with the top of the truck is 75 degrees. Therefore,
Sin 75 = opposite/hypotenuse
Sin 75 = 16/b
By cross multiplication we now have
b = 16/Sin 75
b = 16/0.9659
b = 16.56
If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.
