Answer:
D.) (14, 0); the time it takes for the bird to reach the ground
Step-by-step explanation:
The attached graph shows a plot of the table values and the two offered solution options.
The dependent variable in this scenario is the bird's height above the ground. When that is zero, the bird is on the ground. This fact makes choices B and C seem ridiculous.
We note from the table and graph that the bird is on a path that decreases in height by 3 feet every 2 seconds. If the bird continues that rate of descent, it will reach the ground after 14 seconds.
That is, its (time, height) pair will be (14, 0), matching choice D.
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Choosing any answer to this question requires making assumptions that are inconsistent with real-world bird behavior. At least, the problem statement should say what assumptions are applicable.
◆ Trigonometric Identities ◆
Hey !!
Check the attachment.
Hope it helps you :)
Answer:
441
Step-by-step explanation:
Answer:
x = 23
y = 128
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
98 = 2x + 3x - 17
115 = 5x
x = 23
Angles 3x - 17 and y form a linear pair, so they are supplementary.
3x - 17 + y = 180
3(23) - 17 + y = 180
69 - 17 + y = 180
52 + y = 180
y = 128
Answer:
129.8 approximately
Step-by-step explanation:
So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.
So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.
My math is case sensitive.
X is the angle opposite to the side x.
Law of cosines formula is:

So we are looking for X.
We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).



Subtract 80 on both sides:


Divide both sides by -64:

Now do the inverse of cosine of both sides or just arccos( )
[these are same thing]

Time for the calculator:
X=129.8 approximately