Area of the shaded region is 540 – 65.25π.
Solution:
Length of the rectangle = 12 + 9 + 6 + 3 = 30 in
Width of the rectangle = 18 in
Radius of the larger circle (
) = 12 ÷ 2 = 6 in
Radius of the medium circle (
) = 9 ÷ 2 = 4.5 in
Radius of the smaller circle (
) = 6 ÷ 2 = 3 in
Area of the shaded region = Area of the rectangle – Area of the larger circle – Area of the medium circle – Area of the smaller circle
Area of the shaded region is 540 – 65.25π.
The value of the composite function f(g(x)) is 5x + 2
<h3>Composite functions</h3>
Composite functions are functions inside another function. Given the following functions:
f(x) = 5√x+1 - 2
g(x) = x² - 1
Determine the composite function f(g(x))
f(g(x)) = f(x² - 1)
f(x² - 1) = 5√x² - 1+1 - 2
f(x² - 1) = 5√x² + 2
f(x² - 1) = 5x + 2
Hence the value of the composite function f(g(x)) is 5x + 2
Learn more on composite function here: brainly.com/question/13502804
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In first 40 hours he earns = 7.30 x 40 = $292
Each hour after his rate = 7.20 x 1.5 = $10.80 per hour
In extra four hours he earns = 10.80 x 4 = $43.20
Total earnings = $292 + $43.20 = $335.20
Therefore you don't agree
Answer: the distance between points L and M
Step-by-step explanation:
If you multiply 7 and 15 you will get 105 combinations
