Answer:
Step-by-step explanation:
4x-8<5x+4
4x<5x+12
-x<12
flip sign
x > -12
Answer:
1.98
Step-by-step explanation:
In this problem, we are:
Given: ∠D = 26°, Hypotenuse (DF) = 4.5
To solve: EF
Now through the given, we are to focus on point D to solve for EF.
We need to find the relationship of point D to DF and EF.
The relationship here is sine.
Reason: 
Through point D, DF is the hypotenuse and EF is the opposite side.
So let's solve this simply through algebra,
sin = 
sin(26°) = 
0.44 = 
0.44 × 4.5 = EF
1.98 = EF
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Answer:
An equation represents the number of pieces of lasagna that are left after dinner is 
Step-by-step explanation:
Each piece of Lasagna is 1/6 of the pan
Let x be the number of pieces left
So, x pieces is
of the pan
We are given that After dinner 2/3 of a pan of lasagna is left.
So, 

x=4
So, Number of pieces left = 4
Hence An equation represents the number of pieces of lasagna that are left after dinner is 
Answer:

Step-by-step explanation:
Given:
Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).
So, the 'x' value is 3 and 'y' value id -4.
Using Pythagoras Theorem, we find the hypotenuse.
Hypotenuse = 
Now, using the sine ratio for the angle, we have

Therefore, the value of
is
.
The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,