Answer:
y = 0.9x - 0.8
Step-by-step explanation:
First you use the formula m = (y2-y1) / (x2-x1)
Sub in the 2 points you are given and you get m = (-8-1) / (-8-2)
m = -9/-10 = 9/10
Now u use the point slope formula, (y - y1) = m(x - x1)
Sub in the points and you get (y - 1) = 9/10 (x-2)
Expand it out to get y - 1 = 9/10x - 18/10
multiple everything by 10 = 10y - 10 = 9x -18
make y the subject, 10y = 9x - 8
y = 0.9x - 0.8
Answer:
D
Step-by-step explanation:
Using cosine formula, we have
Answer:.......
Step-by-step explanation:
The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°
<h3>Calculation of angle</h3>
The distance of the flagpole from the building = 55ft
The building has the height of = 45ft
The flagpole has the height of = 25ft
The angle can be calculated using the formula;
Tan θ = opposite/adjacent
Where opposite= 45ft
adjacent = 55ft
Tan θ = 45/55 = 0.82
θ = Tan–¹0.82
θ = 39°
Learn more about angles here:
brainly.com/question/25716982
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Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
![P=\$20,000/[(1+\frac{0.0114}{12})^{120}]](https://tex.z-dn.net/?f=P%3D%5C%2420%2C000%2F%5B%281%2B%5Cfrac%7B0.0114%7D%7B12%7D%29%5E%7B120%7D%5D)
