Brainliest pls?
Answer:
13/145
Step-by-step explanation:
The average rate of change of f(x) on the interval [a,b] is f(b)−f(a) / b−a.
We have that a=0, b=8, f(x)=2x−1 / 3x+5.
Thus, f(b)−f(a) / b−a =
[{(2(8)−1)/(3(8)+5)} − {(2(0)−1)/(3(0)+5)}] / {8−(0)} =
13/145
Answer:
m∠FAD=48°
Step-by-step explanation:
we know that
The<u><em> Perpendicular Bisector Theorem</em></u> states that: A radius that bisect a chord is perpendicular to the chord
we have
FD=DE
The radius AC bisect the chord FE
so
AC is perpendicular to FE
The triangle FAD is a right triangle
m∠FAD+m∠AFD=90° ---> by complementary angles in a right triangle
we have
m∠AFD=42°
substitute
m∠FAD+42°=90°
m∠FAD=90°-42°
m∠FAD=48°
The angle between the legs labeled
and
is complementary to the angle with measure 31 degrees, so that angle has measure 90 - 31 = 59 degrees. Then

This type of combination problem involves combined probability, or the chance that a specific set could be chosen based on the probability of multiple variables.
The number that could be generated follows the example:
XXYZZZZ
where X describes a letter, and Y describes a number that isn’t zero, and Z describes any number.
Two probabilities exist in this situation, depending on the circumstances of the question. By pressing any number once, only 8 letters can be used (ten digits, minus the one and two keys, since they don’t have letters). This means that the probability of this event is:
8 x 8 x 9 x 10 x 10 x 10 x 10
where the two eights are for the letters, the nine is for the digit that isn’t zero, and the tens are for any numbers from the keypad. This permutation yields 5,760,000 choices.
If you are allowed to press the numbers more than once to generate a letter, then the probability changes to account for the entire alphabet. The new probability of this event is :
26 x 26 x 9 x 10 x 10 x 10 x 10
where this permutation yields 60,840,000 choices.
Hope this helps!
The diagonal line is the hypotenuse of a triangle whose sides are both 50 yds, so you can use Pythagoras (a^2 + b^2 = c^2) to find the answer. 50 × 50 = 2500, and 2500 + 2500 = 5000. Because 5000 is c^2, the answer is D) √5000. I hope this helps!