Answer:
30 degrees.
Step-by-step explanation:
The ladder that extends from the floor to the storeroom makes a right triangle. The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees.
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In mathematics, number with a symbol of a point, is expressed in decimal form. When they are read, the numbers after the decimal point are read digit after digit. Therefore, in word form, the number is read as: Two hundred nine point one zero six.
To identify the function that contains the data in the table, we should first visualize the data.
A graph of the data is shown below:
From the plot above, we can identify that:
The graph above is a graph of f(x) = |x|, translated to the right 2 units and translated upwards 1 unit.
Hence, the function is:
Answer:
Option D
The functions and their properties are
- The function f(x) has its vertical asymptote at x = 0
- The x-intercept of the function h(x) is (0.5,0)
<h3>How to match the functions and their properties?</h3>
The equations of the functions are given as:
f(x) = ln(x)
g(x) = -1/2f(x - 2)
h(x) = f(x - 1/2)
From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0
h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)
This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)
Hence, the x-intercept of the function h(x) is (0.5,0)
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