9514 1404 393
Answer:
θC = π/4
Step-by-step explanation:
To find the desired angle, subtract multiplies of 2π until the angle is in the desired range.
9π/4 -2π = (9-8)π/4 = π/4
The angle θC = π/4 is coterminal with θ = 9π/4.
Answer:
2.6 or
Step-by-step explanation:
9d×10=240
÷10 ÷10
9d =24
÷9 ÷9
2.6 or
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = (GH + EF) = (90 + 45)° = 0.5 × 135° = 67.5°
We can use the substitution method to solve this problem.
The second equation is
, so we can plug in 2x for 'y' in the first equation:
Multiply:
Combine like terms:
This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:
Multiply:
This is the y-value of our solution. So our entire solution is (3, 6).
Answer:
The solution to the differential equation
y' = 1 + y²
is
y = tan x
Step-by-step explanation:
Given the differential equation
y' = 1 + y²
This can be written as
dy/dx = 1 + y²
Separate the variables
dy/(1 + y²) = dx
Integrate both sides
tan^(-1)y = x + c
y = tan(x+c)
Using the initial condition
y(0) = 0
0 = tan(0 + c)
tan c = 0
c = tan^(-1) 0 = 0
y = tan x