Answer: 81°
Explanation:
1) Law of cosines:
In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:
b² = a² + c² - 2 (a)(c) cos (B)
2) In the triangle of the figure you have
b = 4.0
B = ?
a = 2.2
c = 3.7
⇒ (4.0)² = (2.2)² + (3.7)² - 2 (2.2) (3.7) cos(B)
⇒ 16 = 4.84 + 13.69 - 16.28cos(B)
⇒ 16.28 cos(B) = 4.84 + 13.69 - 16 = 2.53
⇒ cos(B) = 2.53 / 16.28
⇒ X = arccos(2.53 / 16.28 ) = 81.06° ≈ 81°
Answer:
72
Step-by-step explanation:
Let
Carl grades = x = 62, 78, 59, 89
Number of grades, N = 4
Mean of Carl's grade = sum of x / number of grades,N
= (62 + 78 + 59 + 89) / 4
= 288/4
= 72
Therefore, mean of Carl's grade = 72
Answer:
Infinitly many solutions
Step-by-step explanation:
1 Expand.
3x+3+1+2x=4x+4+x
2 Simplify 3x+3+1+2x to 5x+4.
5x+4=4x+4+x
3 Simplify 4x+4+x to 5x+4.
5x+4=5x+4
4 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
