Answer:
145.9
Step-by-step explanation:
Gave up on delta math.
<span>A. y=secx
This problem deals with the various trig functions and is looking for those points where they are undefined. Since the only math operations involved is division, that will happen with the associated trig function attempts to divide by zero. So let's look at the functions that are a composite of sin and cos.
sin and cos are defined for all real numbers and range in value from -1 to 1.
sin is zero for all integral multiples of pi, and cos is zero for all integral multiples of pi plus pi over 2. So the functions that are undefined will be those that divide by cos.
tan = sin/cos, which will be undefined for x = π/2 ±nπ
cot = cos/sin, which will be undefined for x = ±nπ
sec = 1/cos, which will be undefined for x = π/2 ±nπ
csc = 1/sin, which will be undefined for x = ±nπ
Now let's look at the options and pick the correct one.
A. y=secx
* There's a division by cos, so this is the correct choice.
B. y=cosx
* cos is defined over the entire domain, so this is a bad choice.
C. y=1/sinx
* The division is by sin, not cos. So this is a bad choice.
D. y=cotx,
* The division is by sin, not cos. So this is a bad choice.</span>
The diameters of the circles given are listed as: 2.5 cm, 3.1 cm, 3.7 cm, and 4.3 cm. It can be observed that there is a common difference between the terms of the progression such that the difference between the first two terms is 0.6 cm. The difference between the third and the second is also 0.6, and so on. Thus, the equation that will be able to represent the given is,
<em> f(n) = 2.5 + 0.6(n - 1)</em>
Given:
3kg book
speed of falling of 4.0 m/s
acceleration due to gravity -9.8 m/s²
Vf² = Vi² + 2 * a * d
Vf = final velocity ; Vi = initial velocity ; a = acceleration ; d = distance
0² = (4 m/s)² + 2(-9.8m/s²) * d
0 = 16 m²/s² -19.6 m/s² * d
-16 m²/s² = -19.6 m/s² * d
-16 m²/s² / -19.6 m/s² = d
0.82 m = distance
The 3 kg book fell from the a shelf at the height of 0.82 meters.
