Answer:
1) 27.374
2)9.177
Step-by-step explanation:
1) To get the value of x , we use the appropriate trigonometric ratio
From what we are given;
we have the hypotenuse ( the side facing the right angle) and the adjacent
The trigonometric identity to use here is the cos
The cos of an angle is the ratio of the adjacent to the hypotenuse
cos 64 = 12/x
x = 12/cos 64
x = 27.374
2) Here, we are given the hypotenuse and the opposite
The trigonometric ratio to use here is the sine
the sine of an angle is the ratio of the opposite to the hypotenuse
thus, we have it that;
sin 35 = x/16
x = 16 sin 35
x = 9.177
6/(4 - 13i) = 6/(4 - 13i) * (4 + 13i)/(4 + 13i) = (24 + 78i)/(16 + 169) = 6/185 (4 + 13i)
Answer:
The annual percentage rate of change for the population of Oregon is of 8.125%.
Step-by-step explanation:
Total percentage change:
Change multiplied by 100 and divided by the initial value.
Change: 8.7 - 4.8 = 3.9 million
Initial value: 4.8
Percentage change: 3.9*100/4.8 = 81.25%
Annual percentage rate of change
81.25% during 10 years(from 2000 to 2010).
So, per year
81.25%/10 = 8.125%
The annual percentage rate of change for the population of Oregon is of 8.125%.
Answer:
y - 7 = 3(x - 3)
y - 7 = 3x - 9
y = 3x - 2
Step-by-step explanation:
Hope this helped you!
Answer:
y= -3x +6
Step-by-step explanation:
<u>slope-intercept form</u><u>:</u>
y=mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -3, m= -3.
Susbt. m= -3 into the equation:
y= -3x +c
Since the line passes the point (4, -6),
(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.
y= -3x +c
when x=4, y= -6,
-6= -3(4) +c
-6= -12 +c
c= 12 -6
c= 6
Hence, the equation of the line is y= -3x +6.
