Circumference of the smaller circle, using
, is approximately equal to 18.85 (I used the high floating point precision approximation of pi my calculator has in memory, then rounded to 2 decimal points.)
Using the formula
, which in English says "the smaller circle's circumference is equal to 20% of the larger circle's", we can substitute the known value S:
and solve for L:
.
So the larger circle has a circumference approximately equal to 92.5 units.
This sin graph doesn't have a phase shift and its vertical displacement (d) is zero, so you don't need to include it in the equation of y = asin[b(x-c)]+d.
Answer:
The measure of ∠SVT is 79°
Step-by-step explanation:
In the given figure
∵ US ∩ RT at V
∴ ∠SVT and ∠UVR are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠SVT = m∠UVR
∵ m∠SVT = (5y + 9)°
∵ m∠UVR = (8y - 33)°
→ Equate them
∴ 8y - 33 = 5y + 9
→ Add 33 to both sides
∴ 8y - 33 + 33 = 5y + 9 + 33
∴ 8y = 5y + 42
→ Subtract 5y from both sides
∴ 8y - 5y = 5y - 5y + 42
∴ 3y = 42
→ Divide both sides by 3
∵ =
∴ y = 14
→ Substitute the value of y in the measure of ∠SVT
∵ m∠SVT = 5(14) + 9
∴ m∠SVT = 70 + 9
∴ m∠SVT = 79°
∴ The measure of ∠SVT is 79°
if you add a negitive to a positive its like subtracting like 20 - (-30) (that would be -10) for your question its 0.6
Divide commission amount by percentage:
83.50 / 0.40 = 208.75
Sales must be $208.75