Answer:
7pi/2
Step-by-step explanation:
Given the expression cosec x = -1
I'm trigonometry csecx = 1/sinx
The equation becomes
1/sin(x) = -1
Sinx = -1
x = arcsin(-1)
x = -90°
x is negative in the third and 4th interval
Third interval;
x = 180+90
x = 270°
x = 3pi/2
Since the angle should be within 3pi < x < 4pi
Add 2pi to the angle
x = 2pi+ 3pi/2
x = 7pi/2
Hence the required angle is 7pi/2
Answer:
The estimated population in 2025 will be 22261221.
Step-by-step explanation:
Let us assume that the annual growth rate is compounded annually on the population.
Now, in 2000, the population was 19169000 and the annual growth rate is 0.6%, the the population in the year 2025 will be given by
≈ 22261221
Therefore, the estimated population in 2025 will be 22261221. ( Answer )
Answer:
-2
Step-by-step explanation:
From the given graph, the point A(1, -4) and B(-1, 0)
Slope (m) = (y2 - y1) / (x2 - x1)
x1 = 1, y1 = -4, x2 = -1 and y2 = 0
Slope (m) = (0 - (-4))/(-1 - 1)
= 4/-2
Slope = -2
Thank you.
to find the point, find the location
realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8
perpendicular lines have slopes that multiply to get -1
y=9x+8 has a slope of 9
9*m=-1, m=-1/9
the slope of the mystery line is -1/9
since it passes through the origin, the y intercept is 0
y=(-1/9)x is the equation of the line from the point to the origin
find the intersection of this line and the original line
set them equal to each other
(-1/9)x=9x+8
multily both sides by 9
-x=81x+72
minus 81 both sides
-82x=72
divide both sides by -82
x=-36/41
find y
y=(-1/9)x
y=(-1/9)(-36/41)
y=4/41
the point is 
49/25 converted into decimal form is
1.96
Hope this helps!