Answer:
9 cm
Step-by-step explanation:
The formula to calculate the area of a triangle is: A = bXh square units.
Therefore simply divide the area given 54 cm over base 6 cm to get the height. 54÷ 6 = 9
Hope this suffices.
Answer:
x = 180
Step-by-step explanation:
First, you need to know
1. Double-angle formula:
cos(2x) = 
2. Pythagorean identity:

Back to your problem, replacing the variable by the above:

By Double-angle formula
By Pythagorean identity
Given 



, we know -1 < sinx < 1, for every x ∈ R



Answer:
940
Step-by-step explanation:
The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).
Also the sales can be modeled by the help of a linear function as:
y = 0.94x + 12.5.
Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.
We know that for any linear function of the type:
y=mx+c
'm' represents the slope and 'c' represents the y-intercept of the line.
Hence, by looking at the equation we get:
m=0.94
but as the sales are multiplied by 1000.
Hence,
0.94×1000=$ 940.
Hence, the company's sales increase per month is:
$ 940