We will use the Cosine law:
c² = a² + b² - 2 a b cos C
In this case:
15² = 10² + 7² - 2 · 10 · 7 cos K
225 = 100 + 49 - 140 cos K
76 = - 140 cos K
cos K = - 76 / 140
cos K = - 0.5428
∠ K= cos ^(-1) ( -0.5428 ) = 122.88° ( the largest angle )
49 = 100 + 225 - 2 · 10 · 15 cos J
- 276 = -300 cos J
cos J = 0.92
∠J = cos ^(-1) 0.92 = 23.08° ( the smallest angle )
122.8° - 23.08° = 99.8°
Answer: D )
Answer:
r = 6
Step-by-step explanation:
Hello!
-8 - 2(7r + 1) = -94
Add 8 to both sides
-2(7r + 1) = -86
Divide both sides by -2
7r + 1 = 43
Subtract 1 from both sides
7r = 42
Divide both sides by 7
r = 6
Hope this Helps
2x-3y+6=0 has an x intercept of 2 and a y intercept of -3.
That means the 2 sides of the right triangle are 2 and -3
Area of triangle= 1/2×base×height
= 1/2×-3×2
=-3
∴ Area of the triangle=-3