Anyone help please!!!!
2 answers:
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Answer:
1.98
Step-by-step explanation:
In this problem, we are:
Given: ∠D = 26°, Hypotenuse (DF) = 4.5
To solve: EF
Now through the given, we are to focus on point D to solve for EF.
We need to find the relationship of point D to DF and EF.
The relationship here is sine.
Reason:
Through point D, DF is the hypotenuse and EF is the opposite side.
So let's solve this simply through algebra,
sin =
sin(26°) =
0.44 =
0.44 × 4.5 = EF
1.98 = EF
Answer:
f(x) = -4x + 20
Refer attachment for graph.
Step-by-step explanation:
Given: when Zane was 20 meters below the edge of a volcano. He heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely.
We have to graph Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds).
Let he takes x seconds to get out of the volcano.
and y be the distance covered by the volcano to reach Zane.
Then, to reach the edge of volcano,
Thus, The equation that represent Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds). is given by
f(x) = -4x + 20
At x = 0 the Zane will be at f(0) = 20 that is 20 meter below the volcano.
Thus points are (0,20)
and when x = 5 Zane will be escaped from volcano.
Thus points are (5,0)
Plot this and obtained the graph for the given equation as attached below.
The statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = lnx
g(x) = -5 lnx
The domain of the both functions x > 0
The function will be touch the y-axis when x reaches to the infinite.
The graphs of both functions have a vertical asymptote of x=0.
Unlike the graph of function f, the graph of function g decreases as x increases.
The graph of function g is the graph of function f vertically stretched by a factor of 5 and reflected over the x-axis.
Thus, the statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
Learn more about the function here:
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