Answer:
−3 < x ≤ 1
Step-by-step explanation:
The domain of a function is the set of x-values.
In this graph, the open circle at (-3, -4) means the segment goes back up to this point but this point is not part of the segment itself.
The closed circle at (1, 2) means this is the endpoint and part of the segment.
This means the x-values range from almost -3 up to and including 1; this gives us the inequality
−3 < x ≤ 1
Answer: Choice A)
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Work Shown:
This is not the only way to solve for H.
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
You have 3hours 25seconds left to assemble the machine.
