The exact value of sin θ and cos θ is: sinθ =(√105)/19 and cosθ =16/19
The terminal side of an angle is the angle at the standard position. The terminal side of an angle θ drawn in angle standard position is the side which isn't the initial side.
Given that the point of intersection of the terminal side of θ an the unit circle is:
(16/19,y)
The exact value of sin θ and cos θ is: sinθ =(√105)/19 and cosθ =16/19
The given parameters is represented by:
(16/19,y)
This means that :
(cosθ ,sinθ )=(16/19,y)
Using the following trigonometric identity:
cos²θ +sinθ =1
We have:
(16/19)²+y²=1
Expand fraction:
(256/361)+y²=1
Collect like terms:
y²=1-(256/361)
Take LCM:
y²=(361-256)/361
y²=105/361
Take square roots
y=(√105)/19
Substitute value for y in
(cosθ ,sinθ )=(16/19,y)
By comparison:
cosθ =16/19
sinθ =(√105)/19
So the exact value of sin θ and cos θ is: sinθ =(√105)/19 and cosθ =16/19
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Answer:
14.
Step-by-step explanation:
3x + 7y = 12
x - y = 1 Multiply this by -3:
-3x + 3y = -3 Add this to equation 1:
0 + 10y = 9
so y = 9/10 = 0.9.
x - 0.9 = 1
x = 1.9.
So 5x + 5y = 5*1.9 + 5*0.9
= 14.
Answer:
25.67 ; 25.71 ; 25.79
Step-by-step explanation:
Give the measurement :
25.67 cm, 25.79 cm, and 25.71 cm.
Arrangement of numbers on a line plot is arranged in ascending order ( lowest to highest)
Hence,
25.67 < 25.71 < 25.79
Therefore they will follow the arrangement :
25.67 ; 25.71 ; 25.79
Sorry, very late response since I had other matters to attend to.
Question 1:
A: Incorrect; if that was the case, on day 1, the price would be 150. Instead here, according to the graph, on day 1 the price is 30.
B: Incorrect; the slope, or rate of change, is 30.
[Note: To calculate the slope, we can take two points (I've chosen points (1,30) [1] and (2,60) [2] for you) and use the formula

.

⇒

.

= x, therefore

= 30.]
C; Correct; each day the price increases by (+) 30.
D: Incorrect; the line does not show a constant decrease, but instead a constant increase.
Question 2:
A: Most likely this answer choice. The equation seems to be in slope-intercept form on accounting that the equation has mx and b. M has the x directly after it while the b is a number that stands alone. [Note: Numbers that stand alone and without a variable are constants.] B stands for the y-intercept/initial value, or amount started with.
In short:
Q1: C
Q2: A
We know that
<span>1. The number of all 4-letter words written using the alphabet of 20 symbols (from A to T) is
20</span><span>^4=160,000
</span><span>
2. The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is
19</span><span>^4=130,321
</span><span>
3. The difference represents exactly the number of all words of the inhabitants of the island of Jumble
difference=</span>(160,000-130,321)= 29679.
the answer is
29679