The hypotenuse is 20 ft
Step-by-step explanation:
- Step 1: This is a right triangle, so the trigonometric ratio cosine can be used to find the length of the hypotenuse. Given side opposite to ∠B, AC = 18 ft and ∠A = 40°,
cos 40° = adjacent side/hypotenuse = AC/AB = 18/AB
⇒ AB = 18/cos 40° = 18/0.76 = 23.5 ft ≈ 20 ft
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The range of this function is all real numbers such that 0 ≤ y ≤ 40.
<h3>What is a range?</h3>
A range is the set of all real numbers that connects with the elements of a domain. This simply means that, a range is the solution set on the y-axis.
<h3>How to determine the range?</h3>
Based on the table (see attachment), we can logically deduce that when the time (x) is zero (0), the amount of water remaining in the bathtub (y) is 40.
Therefore, the range of this function is all real numbers such that 0 ≤ y ≤ 40.
Read more on range here: brainly.com/question/16610662
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Answer:
Step-by-step explanation:
Let x represent the certain number of of subscriptions in an hour that each of them would sell so that they will end up earning the same amount.
Michelle earns a base wage of $8 per hour, as well as $1 for every subscription that she sells. This means that the total cost of selling x subscriptions in an would be
x + 8
Cody gets $3 per subscription sold, in addition to a base wage of $4 per hour. This means that the total cost of selling x subscriptions in an hour would be
3x + 4
For both of them to earn the same amount,
x + 8 = 3x + 4
3x - x = 8 - 4
2x = 4
x = 4/2 = 2
They would earn the same amount when they sell 2 subscriptions.
The amount that each would earn is
2 + 8 = $10
