It is 45 yd from the base of the pole.
The pieces of the right triangle we are given are one of the legs (the height of the pole, 60 yd) and the hypotenuse (the length of the cable, 75 yd). Using the Pythagorean theorem, we have:
60²+b²=75²
3600+b²=5625
Subtract 3600 from both sides:
3600+b²-3600=5625-3600
b²=2025
Take the square root of both sides:
√(b²) = √2025
b = 45
Putting the square root of 130 in the calculator you would get around 11.4 which if rounded to the next whole number would be 11. The closest whole number to the square root of 130 is 11.
Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.
<h3>What is an
invertible function?</h3>
An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).
In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:
f⁻¹(f(6.022)) = 6.022.
From the table, we have:
f⁻¹(-10) = -6
f(-6) = -10
Therefore, f⁻¹(-10) + f(-6) is given by:
f⁻¹(-10) + f(-6) = -6 - 10
f⁻¹(-10) + f(-6) = -16.
Read more on invertible function here: brainly.com/question/15635761
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Answer:
Step-by-step explanation:
we have
-----> equation A
----> equation B
To find the solutions for x of the system of equations
equate equation A and equation B
The values of x of the intersection points are the solutions of the system
Using a graphing tool
see the attached figure
There are two intersection points
therefore
The solutions are
I got 105in². When you multiply the two roots, everything goes under one 'roof', and then it's a matter of taking out the perfect squares.
Like: √175 × √63
√(7×5×5) √(3×3×7)
the pairs come out
7×5×3 = 105
Hope that's not toooooo confusing xD
