Answer:
Probability that the measure of a segment is greater than 3 = 0.6
Step-by-step explanation:
From the given attachment,
AB ≅ BC, AC ≅ CD and AD = 12
Therefore, AC ≅ CD =
= 6 units
Since AC ≅ CD
AB + BC ≅ CD
2(AB) = 6
AB = 3 units
Now we have measurements of the segments as,
AB = BC = 3 units
AC = CD = 6 units
AD = 12 units
Total number of segments = 5
Length of segments more than 3 = 3
Probability to pick a segment measuring greater than 3,
=
=
= 0.6
Answer:
Simplifying the expression we get
Step-by-step explanation:
We need to simplify the expression
Solving:
Applying exponent rule:
Factors of
Factors of
Replacing terms with factors
Using exponent rule:
Using exponent rule:
Now using exponent rule:
So, simplifying the expression we get
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
<h2>
Answer:</h2><h2>X=41°</h2><h2>Y=41°</h2><h2>
Step-by-step explanation:</h2>
<h2>Y= 41° ( vertically opposite angles are equal)</h2><h2>X=Y ( alternate angles are equal)</h2><h2>therefore X = 41°</h2>
Answer:
C
Step-by-step explanation: