The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
Answer:
can I see a copy of the picture? I will edit answer once I can see the picture of the gingerbread man
Answer:
1.1
Step-by-step explanation:
Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1
Answer:
Option C: 6(7 * 7)
Step-by-step explanation:
There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.
Answer:
66.3 sq ft
Step-by-step explanation:
Here's the plan: we'll find the area of the circle then subtract the area of the triangle.
Area of circle:
A = pi•r^2
= pi•6^2
= 3.14•36
~= 113.04
Area of triangle:
A = 1/2bh
= 1/2(10.39)(9)
The height is the 6+3 in the image.
~= 46.755
Subtract to find
Area of Shaded:
113.04 - 46.755
= 66.285
Round to nearest tenth.
~= 66.3 sq ft
