Answer:
C° = 71.6056
Step-by-step explanation:
Law of Cosines: c² = a² + b² - 2abcosC°
Step 1: Plug in known variables
29² = 30² + 15² - 2(30)(15)cosC°
Step 2: Evaluate
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056
And we have our answer!
Hello!
We know that, in terms of radians and degrees, that an angle that turns through the entirety of a circle is 360 degrees. To find 1/3 of it, we just multiply by 1/3.
360(1/3)=120
Therefore, our answer is 120°.
I hope this helps!
Five divided by sixty is twelve, and twelve times two is twenty-four. So your answer will be twenty-four (24).
To solve these kinds of problems, it is necessary to isolate x:
9(2x + 1) <span>< 9x - 18
Distribute 9:
18x + 9 </span><span>< 9x - 18
Subtracting 9 from both sides of the equation:
18x + 9 - 9 </span><span>< 9x - 18 - 9
18x </span><span>< 9x - 27
Subtracting 9x from both sides of the equation:
18x - 9x </span><span>< 9x - 27 - 9x
9x </span><span>< -27
x </span><span>< -3
Therefore, values of x </span><span>< -3 will satisfy the given equation.</span>
