Question:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.
What is the solution set of this problem?
Answer:
Step-by-step explanation:
Given
<em>Represent the number with x</em>
So:
Required
Determine the solution set
Open Both Brackets
Collect Like Terms
Multiply both sides by -1
Hence, the solution set is
Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.
Evaluate the exponents
Evaluate the sum
Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>The direction (∅) is calculated using the following tangent ratio.
Evaluate the quotient
Take the arc tan of both sides
Evaluate
Hence, Lyra's direction of travel is 27 degrees north of east
Read more about speed and distance at:
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