Answer:
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x = 2</h3><h3 />
Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = x
b = 8/2 = 4
c = √20
plugin values into the formula:
x² + 4² = (√20)²
x² + 16 = 20
x² = 20 - 16
x = √4
x = 2
Answer:
Step-by-step explanation:
2 cos x + √ 2 = 0
2 cos x = -√ 2
cos x = -√ 2 / 2
x = arcCos( -√ 2 / 2 )
so to solve we have to use "co-terminal " angles .. do you know what I'm saying? do you understand the words coming out of my mouth :DDDDD OKay back to math and not movie lines .. :P
x = arcCos( √ 2 / 2 )
x = 45 °
now find the "co terminal" angle that is on 45 ° but in the correct quadrant... since the -√ 2 is negative.. we now that we go down the y axis.. but also positive on the x axis.. soooo.. that put the angle in the 4th quadrant... so this is an angle of 315° if we go in the CCW ( counter clock wise ) direction but it's also -45° in the CW (clock wise ) direction
below is the table to remember the trig special angles
notice how it's 1,2,3,4 .. so it's super easy to remember.. the trig books don't show you this "trick" :P
copy and paste this to your computer some where handy
Sin(0) = 0/2 =0
Sin(30)=
/2 = 1/2
Sing(45) =
/2 =
/2
Sin(60)=
/2 =
/2
Sin(90)=
/2 = 1
Cos is exactly the same but counts backwards from 90°
Cos(90) = 0/2 = 0
Cos(60) =
/2 = 1/2
Cos(45) =
/2 =
/2
Cos(30) =
/2 =
/2
Cos(0) =
/2 = 1
Answer:
32 nd term
Step-by-step explanation:
The formula for the sequence is
n² + 1 ( that is 1 added to each square number )
Equate to 1025 and solve for n
n² + 1 = 1025 ( subtract 1 from each side )
n² = 1024 ( take the square root of both sides )
n =
= 32
Answer:
The answer is C. 16x² - 56xy + 49y²
Step-by-step explanation:
A perfect square trinomial is the result of a squared binomial, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
The length of each side of octagon is 1.66 inches.