Answer:
x = 90 degrees and y = 43 degrees
Step-by-step explanation:
We have an isosceles triangle here, since the length of AB equals the length of AC.
That also means that angle ABC equals angle ACD = 47 degrees.
The sum of the interior angles of a triangle equals 180.
47 + 47 + 2y = 180
94 + 2y = 180
2y = 86
y = 43 degrees
x + 43 + 47 = 180
x + 90 = 180
x = 90
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Answer:
The distance between them after 1 hour and 30 minutes will be of 63.64 miles.
Step-by-step explanation:
This question can be solved using the Pythagorean Theorem.
Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.
The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So



The distance between them after 1 hour and 30 minutes will be of 63.64 miles.
Answer:
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Step-by-step explanation:
Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6