First, you can combine all of the terms involving x:
0.3x + 0.03x + 0.003x + 0.0003x + 0.00003x = 3
0.33333x = 3
0.33333x / 0.33333 = 3 / 0.33333
x = 9.0000900009…
x ≈ 9
Hope this helps! :)
Answer:
See explanation
Step-by-step explanation:
The standard compound interest formula is
where:
P is the principal amount
r is the interest rate (typically as a percentage)
t is the time
n is the times compounded per unit of time
So,
1) 
2) 
3) 
You should check my answers though, I may have mixed up some terms.
y = mx + b
m: slope
b: y-intercept
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3x + 9y = 18
-3x -3x
9y = -3x + 18
/9 /9
y = -3/9x + 2 OR y = -1/3 + 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
m = -3/9 OR -1/3
b = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Answer:
Slope sides are;
5.07 m and 6.39 m
Step-by-step explanation:
I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.
From the image attached, the missing angle is θ.
From sum of angles in a triangle,
θ = 180 - (44 + 34)
θ = 102°
Now, a & b represent the slopes of the roof.
Thus, using law of sines which is that;
a/sin A = b/sin B = c/sin C, we can solve as follows;
a/sin 34 = 9/sin 102
a = (9 × sin 34)/sin 102
a = (9 × 0.5512)/0.9781
a = 5.07 m
b/sin 44 = 9/sin 102
b = (9 × sin 44)/sin 102
b = (9 × 0.6947)/0.9781
b = 6.39 m