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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Answer:
Miki had 288 stickers and Ken had 252 stickers.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
Miki has x stickers.
Ken has y stickers.
The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.
This means that 
, that is: 
, or 
After Miki gave Ken 18 of her stickers, they had the same number of stickers.
This means that:
Since
And
Miki had 288 stickers and Ken had 252 stickers.
<h2>
Measure of the angle between their courses is 95°</h2>
Step-by-step explanation:
Speed of submarine 1 = 25 knots = 28.77 mph
Speed of submarine 2 = 20 knots = 23 mph
Time taken = 3 hours
Distance traveled by submarine 1 = 28.77 x 3 = 86.31 miles
Distance traveled by submarine 2 = 23 x 3 = 69 miles
Distance between them is 100 nautical miles = 115.08 miles
Refer the figure
By cosine formula we have
a = 86.31 miles
b = 115.08 miles
c = 69 miles
Substituting
Measure of the angle between their courses is 95°
The answer would be 4.5 have fun with ur math
