Answer: 
Step-by-step explanation:

Subtract 15 from both sides.

Multiply by -8 to isolate a.
NOTE: When you multiply or divide by negative numbers, the inequality sign flips.


Answer:

Step-by-step explanation:
As given in figure 1 below:
FK = a, m∠F = 45° and m∠L = 30°
Construction: Draw an altitude KE from point K on FL.
Now, In ΔFEK,
FE = EK (Sides opposite to equal angles of a triangle)
Let FE = EK = x
Now, using pythagoras In ΔFEK,



∴ FE = EK = 
Now in ΔEKL, EK = 
Using trigonometry ratio,
TanФ = Altitude\ Base

Tan 30° = 


Now FL = FE + EL
FE =
and 
∴ 
Answer:
sin a = -3/5
Step-by-step explanation:
sin^2(a)+cos^2(a)=1
sin^2(a)+ (4/5)^2 = 1
sin^2(a) = 1 - 16/25 = 9/25
sin a = 3/5 ( in Quadrant 1)
In quadrat IV the sine is negative
so sin a = -3/5
We know that 3.5 is also 3 1/2, and that 3 2/5 and 3 3/8 are both less than 3 1/2.
3.5 must be the greatest.
To convert a fraction to a decimal, divide the numerator by the denominator.
So, 3 2/5 is 3.4, and 3 3/8 is 3.375.
The order is 3 3/8, 3 2/5, and 3.5.