Answer:
Step-by-step explanation:
Alright so these ratios have many different forms but the way I use to remember the trigonometric ratios is:
SOH
CAH
TOA
This means:
Sine --> Opposite/Hypotenuse
Cosine --> Adjacent/Hypotenuse
Tangent --> Oppositie/Adjacent
With that in mind, number 1:
Would be Sine, or C.
Number 2 would be, Cosine, or E.
And number 3 would be Tangent, or B.
Hope that was helpful.
Slope = -4/6 = -2/3
--------------------
The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))
The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)
S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi
After 30 days, he will have traveled 82.25 miles.
Lets x = Mary's age
Emily is there years older than twice her sister Mary's age = 2x + 3
Sum of both is less than 30:
x + 2x + 3 < 30
Solve for x
3x + 3 < 30
3x < 27
x < 9
Mary's age = 9
Inequality represents Mary's possible age:
0 < x < 9
Answer is the second one
0 < x < 9
