Which of the following represents an irrational number?
2 answers:
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Option A: d(t) = 360-60t is the right answer
Step-by-step explanation:
We will write the given problem in terms of function to find the correct answer.
Let d(t) be the function and t be the number of hours.
Total distance is 360 miles and with each passing hour the distance will reduce 60 miles
So,
The function is:
Hence,
Option A: d(t) = 360-60t is the right answer
Keywords: Functions, word problems
Learn more about functions at:
#LearnwithBrainly
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
