Based on the graphs of f (x) and g(x), in which interval(s) are both functions increasing? Polynomial function f of x, which increases from the left and passes through the point negative 5 comma negative 4 and goes to a local maximum at negative 4 comma 0 and then goes back down through the point negative 3 comma negative 2 to a local minimum at the point negative 2 comma negative 4 and then goes back up through the point negative 1 comma 0 to the right, and a rational function g of x with one piece that increases from the left in quadrant 2 asymptotic to the line y equals 1 passing through the points negative 6 comma 2 and negative 3 comma 5 that is asymptotic to the line x equals negative 2 and then another piece that is asymptotic to the line x equals negative 2 and increases from the left in quadrant 3 passing through the point negative 1 comma negative 3 and 2 comma 0 that is asymptotic to the line y equals 1 (–°, °) (–°, –4) (–°, –4) ∪ (–2, °) (–°, –4) ∪ (2, °)
Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
Answer:D
Step-by-step explanation:
Probability of rolling a 5 on the first roll is 1/6 because there is only 1 number to roll out of 6. Then, roll a number larger than 4 is 5 and 6. That is 2 numbers. 2 numbers out of 6. Multiply those 2. 1/6 * 2/6=2/36. Simplified is 1/18
