From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that:
- The initial height is the intercept.
- The melting rate, as a negative, is the slope.
Hence the functions are given as follows:
The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.
More can be learned about linear functions at brainly.com/question/24808124
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In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.
So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.
If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.
The distance across the lake, a is 611 yards
<h3>Right angle triangle:</h3>
Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,
Therefore,
tan 47° = opposite / adjacent
tan 47° = a / 570
cross multiply
a = 570 tan 47°
a = 570 × 1.07236871002
a = 611.250164714
a = 611 yards
learn more on right triangle here: brainly.com/question/18450490
To find new price after discount we are going to find 10% of $13,999.00, then subtract the discount amount from $13,999.00.
13,999.00 × ¹⁰/₁₀₀ = $1,399.90
13,999.00 - 1,399.90 = $12,599.10
Therefore, new price = $12,599.10
