X, y - the numbers
The product is 18.
The quotient is 2.
Substitute 2y for x in the 1st equation:
The numbers are
6 and 3 or
-6 and -3.
Answer:
#1)
Angle A = 30 degrees; 180 - 150 = 30
Angle B = 120 degrees; 180 - 60 = 120
#2)
Angle A = 65 degrees; 180 - 115 = 65
Angle B = 25 degrees; 180 - 155 = 25
A and D because it is basically saying 3:36 so when you simplify it comes down to 1:12
15.04 degrees or answer A is correct.
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.
You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:
The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).
I hate useless complicated math lol ;)
52 inches - 12 inches = 40 inches
amplitude: a = 40 inches / 2 = 20
<span>f(x)=20cos(bx)+c</span>
the value of c is 32... since the centre of the has been moved up 32 units
the minimum amplitude = 32 - 20 = 12
the maximum amplitude = 32 + 20 = 52
<span>f(x)=20cos(bx)+32</span><span>
if the curve takes 6 1/4 hours from low to high tides (9:15 am to 3:30 pm) then it will take 12 1/2 hours to complete a full cycle.
adjust the period by converting 12 1/2 hours to an angle measure.
360</span>°/12 = 30°
30° / 12 = 15°
12 1/2 = 360° + 15° = 375°
f(x) = 20 cos(375°) + 32
f(x) = 20 * 0.97 + 32
f(x) = 19.4 + 32
f(x) = 51.4
