Answer:
<8
Step-by-step explanation:
From the diagram, Corresponding angles are congruent that is Corresponding angles are equal in measure. From the diagram shown, the angle corresponding to <4 is <8 since they are located at the same position on both parallel lines that is right below (both at the top and bottom based on geometry )
Answer: x = pi/6 and x = pi/3.
Step-by-step explanation:
We have the function:
y = x + 2*cos(x)
It will have a horizontal tangent at the point where it's derivate is equal to zero.
Then first let's differentiate y.
y' = dy/dx = 1 - 2*sin(x).
Then we must find the value of x between 0 and 2*pi (or 0° and 360°)
y'(x) = 1 - 2*sin(x) = 0.
Let's solve that:
2*sin(x) = 1
sin(x) = 1/2.
We know that:
sin(30°) = 1/2.
and
Sin(120°) = 1/2
Then let's convert 30° into radians.
We know that:
pi = 180°.
Then:
pi/180° = 1.
30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6
120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.
Then the two values of x are: pi/6 and pi/3.
Answer: x=
−2
3
y+20
Step-by-step explanation
240=12x+8y
Step 1: Flip the equation.
12x+8y=240
Step 2: Add -8y to both sides.
12x+8y+−8y=240+−8y
12x=−8y+240
Step 3: Divide both sides by 12.
12x
12
=
−8y+240
12
x=
−2
3
y+20
Answer:
x=
−2
3
y
Answer:
I see your profile everywhere, and the answer is Right scalene Pythagorean triangle.
Step-by-step explanation:
First subtract the installation price:
6855-85= 6,770
Then divide 6,770 by 24(12 months in 1 yr.):
6770/24= $282.08
Your monthly fee is $282.08