Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
Answer:
-3
Step-by-step explanation:
start by opening the brackets 4(4x+1)=(3x-46-x)+8
16x+4=3x-46-x+8 then put like terms together =
16x-3x+x=-46+8-4
14x=-42 divide all over by 14
=-3
Answer:
x = 0 1 -1 -2
y = -3 -4 -2 -1
Step-by-step explanation:
equation : 3y+9x = -9
when x = 1
3y+3x = -9
or, 3y + 3×1= -9
or, 3y+3=-9
or, 3y = -12
so, y = -4
Again
Let's suppose x as -1
3y+3x= -9
or, 3y+ 3×-1 = -9
or, 3y-3 = -9
or, 3y = -6
y = -2
Let's suppose x as -2 now,
3y+3x = -9
3y+3×-2 = -9
or, 3y-6 = -9
or, 3y = -3
so, y = -1
Answer:
c = 175
Step-by-step explanation:
When the height of a right triangle is shown this way (at right angles with the hypotenuse, It can be found by using the way the hypotenuse is broken up. The following proportion works.
576/x = x / 49 Cross multiply
x^2 = 576 * 49
sqrt(x^2) = sqrt(576*49)
x = 24 * 7
x = 168
But that's not what you want (although it is close).
What you want is the hypotenuse to the small lower triangle
c = ?
a = 49
b = 168
c^2 = 49^2 + 168^2
c^2 = 2401 + 28224
c^2 = 30625
c = sqrt(30625)
c = 175
Just take n=1,2,3,4,5 respectively to find out the first 5 terms.
First 5 terms = 4,3,2.25,1.69 respectively.
For the 5th partial sum, just add the first 5 terms.
5th partial sum = 10.34
....
First 4 terms : 5,8,11,14 respectively.
Now you need to find the other next 4 terms to find out the 8th partial sum.
17,20,23,26
8th partial sum = 124
Hope this helps:)
