Complete question is;
The terminal side of angle θ in standard position, intersects the unit circle at P(-10/26, -24/26). What is the value of csc θ?
Answer:
csc θ = -13/12
Step-by-step explanation:
We know that in a unit circle;
(x, y) = (cos θ, sin θ)
Since the the terminal sides intersects P at the coordinates P(-10/26, -24/26), we can say that;
cos θ = -10/26
sin θ = -24/26
Now we want to find csc θ.
From trigonometric ratios, csc θ = 1/sin θ
Thus;
csc θ = 1/(-24/26)
csc θ = -26/24
csc θ = -13/12
Remark
This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.
Solution
The Base of Triangle ABN is AB
The Base of Triangle CDM is CD
The height of both given triangles is h. That is the distance between the two parallel lines.
Area ABN = 1/2*AB * h = 23 cm^2
Area CDM = 1/2*CD * h = 18 cm^2
Now the Area of the trapezoid is
Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.
Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)
Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer
Answer:
8ft
Step-by-step explanation:
Circumference of a circle equation; πd or2πr
16π = 2πr you can then divide both sides by π
16 = 2r then you can divide both sides by 2
8 = r
Answer:
Option D: g = 7 and h = 3
Step-by-step explanation:
The polynomial is;
8x² – 8x + 2 – 5 + x
Simplifying this gives;
8x² - 7x - 3
If this is simplified to 8x² – gx – h
Thus, by comparison of terms;
– gx = - 7x
-x will cancel out to get;
g = 7
Similarly, - h = - 3
Thus,h = 3
Therefore; g = 7 and h = 3
To find the mean or the avg you add up all the numbers you have and then divide by how many numbers you added together in this case 5
so the mean is 22, hope this helped you!
