Answer:
the height of the tree is <em>15.49 m</em>
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Step-by-step explanation:
Step 1:
From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:
∠ ATB = 180° - 98° - 20°
∠ ATB = 62°
Step 2:
Therefore, using the law of sines, we can determine the height of the tree.
TB / sin(20°) = 40 / sin(62°)
TB = 40 × (sin(20°) / sin(62°))
<em>TB = 15.49 m </em>
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Therefore, the height of the tree is <em>15.49 m</em>
Answer: Third option
Step-by-step explanation:
For this exercise it is important to remember the following:
1. By definition, the Associative property of addition states that it does not matter how you grouped the numbers, you will always obtained the same sum.
2. The rule for the Associative property of addition is the following (given three numbers "a", "b" and "c"):
Knowing the information shown before, you can identify in the picture attached that the option that illustrates the Associative property of addition is the third one. This is:
As you can notice that you will always get the same result:
ANSWER
-2 shift the graph of the basic function down by 2 units.
EXPLANATION
The given cosine function is:
This equation can be rewritten as:
We compare this to
The effect d has on the graph is that, it shifts the graph up by d units.
If d is negative the graph shifts down by d units.
Since d=-2, the graph will shift down by 2 units.