Answer:
Latest time for start hiking = 4:57 PM
Step-by-step explanation:
Given:
Time of sunset = 9:26 P.M
Time taken for hiking = 3 hours and 3 minutes (03:03)
Time taken for set up = 1 hour and 26 minutes (1:26)
Find:
Latest time for start hiking
Computation:
Latest time for start hiking = Time of sunset - Time taken for set up - Time taken for hiking
Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking
Latest time for start hiking = 8:00 PM - 03:03
Latest time for start hiking = 7:60 - 03:03
Latest time for start hiking = 4:57 PM
That would be 177.5 in standard form.
6/8 because 3/4 is an equivalent fraction with 6/8.
The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>
In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
To learn more on rigid transformations: brainly.com/question/1761538
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Answer: 456 inches cubed
Step-by-step explanation:
Volume is the area of the base multiplied by the height so you have to do 38 times 12 to get 456.