Answer:
C. 
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,

Reference angle = 28°
Adjacent = 15
Hypotenuse = 17
Plug in the values

Answer:
x = 3
Step-by-step explanation:
Given the linear equation :
1/4(x-5)+4=1/3(2x+7)-5/6
(x-5)/4 + 4 = (2x+7)/3 - 5/6
Take the lcm and sum
(x-5+16)/4 = (4x+14-5)/6
(x+11)/4 = (4x+9)/6
Cross multiply
6(x+11) = 4(4x+9)
6x + 66 = 16x + 36
Collect like terms
6x - 16x = 36 - 66
-10x = - 30
x = 30/10
x = 3
Answer:
Answer is option 2
Step-by-step explanation:
We know that Angle M = Angle G (given in diagram)
We also know that Angle L in triangle LMN is equal to Angle L in triangle LGH
As two angles are equal in both triangles they are similar.
But why is it Triangle LGH instead of Triangle HGL?
As we know M=G therefore they should be in the same place in the name Of the triangle. In triangle LMN M is in the middle therefore Angle G should also be in the middle
On Saturday - x tickets
on Friday - (x + 100)
altogether
x+x+100=3300
2x=3200
x=1600
x+100=1600+100=1700
1700 on Friday
Answer:
17.3 years
Step-by-step explanation:
For some annual interest rate r and time in years t, the initial account value is multiplied by e^(rt).
You want the multiplier e^(.04t) to have a value of 2:
2 = e^(.04t)
ln(2) = 0.04t . . . . . take natural logs
t = ln(2)/0.04 = 17.329 . . . . . divide by the coefficient of t
It will take about 17.3 years for the investment to double.