Answer:
45 and 135degrees
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
In trigonometry, cosx = sin(90-x)
Hence:
Cos(8x+21) = sin(90-(8x+21))
Cos(8x+21) = sin(90-8x-21)
Cos(8x+21) = sin(-8x+69)
Substituting into the expression given, :
sin(-8x+69) = sin(-2x+51)
-8x+69 = -2x+51
-8x+2x = 51-69.
-6x = -18.
X = 18/6
X = 3
Since the angles 8x+21
Angle = 8(3)+21
Angle = 45
The angles represented in degrees are 45 and (180-45) = 135degrees
Answer:
x= 6
Step-by-step explanation:
We can use the Pythagorean theorem to find x
x^2 + 2.5^2 = 6.5 ^2
x^2+ 6.25 =42.25
Subtract 6.25 from each side
x^2+ 6.25-6.25 =42.25-6.25
x^2 =36
Take the square root of each side
x = sqrt(36)
x= 6
A regular pentagon has 5 sides, all of equal length.
Simply multiply 17 by 5
The answer is 85
The vertical distance will be given by:
sinθ=opposite/hypotenuse
where:
θ=48°
opposite=h
hypotenuse=100 ft
thus
sin 48=h/100
hence
h=100 sin48
h=74.315 ft
Answer: 74.315 ft
ax^2 +bx+c=0
X^2 + 2x+8=0 so a=1, b=2, c=8
Discriminat= b^2 -4ac=2^2 -4•1•8=4-32=-28
So there are no real number solutions, yet there are complex numbers solutions.
Solutions=(-b+- sqrt (discriminant))/2•a
=(-2+-i sqrt ( 2•2•7))/2
Solutia 1= -1 + i sqrt7
Solutia 2= -1 - i sqrt 7
