Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
Step-by-step explanation:
General Equation of circle is
----------- (1)
Here
Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)
Substituting values in equation (1)
Answer:
A. 
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
sin 30°
<u>Step 2: Solve</u>
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
The correct answer is 29/20
Answer:
x
=
±
2
√
3
−
3
Step-by-step explanation:
Add
3
to both sides of the equation.
x
2
+
6
x
=
3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
3
)
2
Add the term to each side of the equation.
x
2
+
6
x
+
(
3
)
2
=
3
+
(
3
)
2
Simplify the equation.
Tap for more steps...
x
2
+
6
x
+
9
=
12
Factor the perfect trinomial square into
(
x
+
3
)
2
.
(
x
+
3
)
2
=
12
