Circumference of the smaller circle, using
, is approximately equal to 18.85 (I used the high floating point precision approximation of pi my calculator has in memory, then rounded to 2 decimal points.)
Using the formula
, which in English says "the smaller circle's circumference is equal to 20% of the larger circle's", we can substitute the known value S:
and solve for L:
.
So the larger circle has a circumference approximately equal to 92.5 units.
The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.
The complete question is attached below.
<h3>What is inverse of a function?</h3>
Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'
The function is given below.
f(x) = (1/4)x – 12
Then the inverse function of the function f(x) will be
(1/4)f⁻¹(x) - 12 = x
f⁻¹(x) = 4x + 48
Then the correct option is D.
Learn more about inverse function here:
brainly.com/question/19425567
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Answer:
1. 90°
2. 90°
3. 40°
4. 45°
5. 45°
Step-by-step explanation:
<u>Given:</u> ΔABC,
CD⊥AB,
m∠A=50°,
m∠ACB=85°
<u>Solution:</u>
1. ∠ADC is a right ange, because CD⊥AB, so
2. ∠CDB is a right ange, because CD⊥AB, so
3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so
4. By Angle Addition Postulate,
5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so
Answer:
-1 3/4
Step-by-step explanation:
Answer:
I plotted it out on the graph and here it is: