Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
The previous answer from another person got deleted, so I'm here to put it back in my own words.
(Edit: The answer is A)
First of all, you can take 4 out of each, so simplify everything by 4.
4(x^4 - 6x^3 + 9x^2)
Next, you can see that you're able to take out x^2
4x^2(x^2 - 6x + 9)
You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this
(x+3)^2 or (x-3)^2
Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9
This would turn the now factored equation into :
4x^2(x-3)^2 or 4x^2(x-3)(x-3), this means the answer is A
Answer:
2700!
Step-by-step explanation:
hope that helped <3
Answer:
$21.17
Step-by-step explanation:
Simple Interest=P(1+r)^t
Compounded Interest=P(e^rt)
SI=668*(1.0925)^5
SI=1039.64
CI=668(e^(0.0925*5))
CI=1060.81
1060.81-1039.64=21.17
So the difference is $21.17, thus doing compounded interest is better.
Answer:
A.(26)X =1
26x =1
divide both sides by 26 to make x the subject
26x/1=1/26
x = 1/26
Step-by-step explanation:
B 50(x) =1
50x =1
x =1/50