<u>Step-by-step explanation:</u>
Use the formula y = A cos (Bx - C) + D where
- A = amplitude
- Period = 2π/B
- Phase Shift = C/B
- D = vertical shift (aka midline)
Given: Max = 8, Min = 2, (1/2)Period = 20 → Period = 40
Amplitude (A) = (Max - Min)/2
= (8 - 2)/2
= 6/2
= 3
Midline (D) = (Max + Min)/2
= (8 + 2)/2
= 10/2
= 5
Period = 2π/B
→ B = 2π/Period
= 2π/40
= π/20
Notice that the Minimum touches the y-axis (not the Max) so there is no phase shift but there is a reflection → C-value = 0 & A-value is negative
Now, let's put it all together:
A = -3, B = π/20, C = 0, D = 5
Answer:
$1.85
Step-by-step explanation:
$7.75 is $1.85 greater then $5.90
How much work is done in an hour by each:
s = 1/6 of the yard in one hourb = 1/10 of the yard in an hour
working together they can do:
1/6 + 1/10 in an hour; or 16/60; we can invert this number to determine how long it takes to finish the yard
60/16 hours
=3 hours and 45 minutes
If line BC is congruent to line BD then angles C and D are also congruent
so you would set up the problem to find <em>x </em>as:
5x-19=2x+14
+19 +19
____________
5x=2x+33
-2 -2
_____________
3/3x=33/3
____________
x=11
Just pug in x to the equations to solve the rest
Answer:
1091 feet
Step-by-step explanation:
172/3 + 1037 = ?
54 + 1037 = ?
1091 = ?
