The value of x in the special right triangle is 39.60 ft.
<h3>Right angle triangle</h3>
Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.
Therefore, let's find the base of the triangle with 30 degrees.
sin 30° = opposite / hypotenuse
1 / 2 = 7 / b
b = 14 ft
Let's use the value(14 ft) to find the height of the biggest triangle.
sin 30 = opposite / hypotenuse
sin 30 = 14 / h
0.5h = 14
h = 14 / 0.5
h = 28 ft
Therefore, let's find the value of x .
sin 45° = 28 / x
x = 28 / 0.70710678118
x = 39.5979797464
x = 39.60 ft
learn more on right triangle here: brainly.com/question/10412877
Given: <span>f(x) = log3 (x + 1), look for f^-1 (2)
We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:
</span><span>f^-1 (2) = 8</span>
If the bases ar same, assume exponents are same
if
x^z=x^m
assume z=m
so
base is both 7 therefor
3x+5=1-x
solve
add x
4x+5=1
minus 5
4x=-4
divide 4
x=-1
