Answer:
The height of the building: g
Distance from the building to the base of the ladder: 57
The length of the ladder: m
Angle the ladder makes with the building: k
Angle the ladder makes with the ground: 55
Step-by-step explanation:
Based off the location of the variables and numbers, the descriptions match where they are.
Hope that helps!
We're looking for coefficients a, b, and c such that
f(t) = a sin(bt) + c
where t is time.
b represents the period of the sine wave. If the wheel makes 1 revolution every 1.6 seconds, then it has a period of 1.6 s/rev. 1 complete revolution is a turn of 2π radians, so the period is
1.6 s/rev × (1 rev)/(2π rad) = 4π/5 s/rad
The period of sin(bt) is 2π/b, so it follows that
2π/b = 4π/5 ⇒ b = 5/2 = 2.5
a represents the amplitude. Relative to the center of the wheel, the ant's vertical position would oscillate between -11 and 11 inches; this means the amplitude is a = 11.
c represents a vertical shift of the wave. We want the ant's position relative to the ground, not the wheel's center. So we shift the wave up by a constant c such that the lowest and highest points are 3 and 22 + 3 = 25 in above the ground, respectively. In other words, we pick c so that
-11 + c = 3
11 + c = 25
Either equation tells us that c = 14.
So, the equation for the sine wave is
f(t) = 11 sin(2.5t) + 14
Answer:
Step-by-step explanation:
''Vedavit walks his dog the same distance each day.''
After 5 days,he has walked his dog 1 mile.''
First we are going to convert the total distance (1 mi) to feet.
The relation is :
After 5 days, he has walked his dog 5280 ft.
The next step is to divide the total distance for the amount of day that he has walked his dog (we do this because Vedavit walks his dog the same distance each day)
Finally, he has walked his dog each day
Answer:
y = 2x -2
Step-by-step explanation:
This is only the answer if you need the slope-intercept form equation.
Answer:
Step-by-step explanation:
If a line is parallel to another it must have the same slope
The slope/intercept form of a line is y = mx + b where m is the slope and b the y intercept
The line y = 2x + 5 has slope 2
So the slope of the line that passes through (2,3) must also have the slope 2
We have
y = 2x + b; Substituting x =2, y =3 in this equation gives us
3 = 2 (2) + b or b = -1
Hence the equation of the line is
y = 2x -1
Cross-check
Substitute for x = 2 ==> y = 2(2) - 1 = 3 which is consistent