Answer:
2 sin x + √3 = 0
2sinx=-√3
sinx=-√3/2
x=sin-¹(-√3/2)(sin-¹ means inverse of sin)
x=-60
No, Alex is wrong. The correct expanded form would be 100+60+5+.03+.008
By using the definition of inverse functions, we will see that:
g(g(f(f(f(36))))) = f(36) = 25.
<h3>
What are inverse functions?</h3>
Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then we can rewrite:
g(g(f(f(f(36)))))
First, we can see that:
g(f(f(f(36)))) = f(f(36))
Replacing that in our expression, we get:
g(g(f(f(f36))))) = g(f(f(36)))
And the above expression is equal to f(36), to be sure of that, let's replace:
u = f(36)
Then we can rewrite:
g(f(f(36))) = g(f(u))
And by definition, the above thing is equal to u:
g(f(u)) = u = f(36).
Finally, we conclude that:
g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25
If you want to learn more about inverse functions, you can read:
brainly.com/question/12220962
Complete question :
The sugar maple tree in Joshua's yard is 1/4 the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is the oak tree?
Answer:
80 years
Step-by-step explanation:
Given that :
Sugar maple tree = 1/4 age of oak tree
Age of sugar maple tree = 20
Age of oak tree = x
20 = 1/4 * x
20 = x / 4
Multiply both sides by 4
20 * 4 = (x / 4) * 4
80 = x
Hence, Age of oak tree = 80 years
Answer:
21.63 m
Step-by-step explanation:
Given :
Hypotenus = 42 m
Base = 36 m
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Height = √42²-36²
Height = √1764 - 1296
Height = √468
= 21.63 m
