Use △DEF, shown below, to answer the question that follows:

Mathematics

2 answers:

Alex3 years ago

5 0

Answer:

40.87

Step-by-step explanation:

Nikitich [7]3 years ago

4 0

There are several ways to solve this, but the law of sines is probably the easiest...

Law of Sines: sina/A=sinb/B=sinc/C for any triangle...in this case we can say:

sin48/x=sin90/55

xsin90=55sin48

x=55sin48/sin90

x≈40.873 (to nearest one-thousandth, not sure which precision you needed)

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For a science class, Sweet T counts clusters of bacteria growing in two Petri dishes. He records his findings as a linear functi

Pachacha [2.7K]

Answer:

dish A has a greater rate of change

Step-by-step explanation:

8 0

3 years ago

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A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(

masha68 [24]

For this case we have the following function:
f (t) = -16t2 + 32t + 384
By definition we have to:
The average rate of change:
AVR = (f (t2) - f (t1)) / (t2 - t1)
Where,
For t1 = 4
f (4) = -16 * (4) ^ 2 + 32 * (4) + 384
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For t2 = 6
f (6) = -16 * (6) ^ 2 + 32 * (6) + 384
f (6) = 0
Substituting values we have:
AVR = (0 - 256) / (6 - 4)
AVR = -128
Answer:
The average rate of change of f (t) from t = 4 seconds to t = 6 seconds is -128 feet per second.

6 0

3 years ago

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Write 256 as a product of prime factors

Kipish [7]

256 -> 4 -> 2 & 2
-> 64 -> 8 & 8
8 -> 4 & 2
4 -> 2 & 2
8 -> 4 & 2
4 -> 2 & 2
(I hope this format makes sense) So you are left with 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 or $2^{8}$ . I hope this helps!