<span><span><span>Side c = </span>18</span><span>
<span>Angle B = </span>79°
</span><span><span>Side a = </span><span>12
AB = side b
</span></span></span><span><span>Use the Law of Cosines to find the length of side b.</span><span> <span>
b^2 = </span><span>a^2 + c^2 − 2ac cos(B)</span></span><span> <span>
b^2 = </span><span>(122 + 182) − ( 2 x 12 x 18) cos(79°)</span></span><span>
<span>b^2 = </span>(144 + 324) − 432 x 0.191</span><span> <span>
b^2 = </span>468 - 432 x 0.191</span><span> <span>
b^2 = </span>468 - 82.429</span><span> <span>
b^2 = </span>385.571</span><span>
b = √385.571</span><span>
b = 19.636
Rounded to the nearest tenth is 19.6 cm.
Hope this helps!</span></span>
Answer:
Daughter is 25, mother is 58
Step-by-step explanation:
Let m = age of mother now
Let d = age of daughter now
m - 14 = 4(d - 14)
m = 2(d + 4)
m - 14 = 4d - 56
m = 2d + 8
subtracting them gets
14 = -2d + 64
2d = 50.
d = 25
m = 58
Answer: 9 pieces of ribbon
Explanation: 4.5 / 0.5 = 9
The point is inside the circle
192cm2 to get this answer you multiply 12x16 which is 192cm2 the reason for the (2) is because you multiplied 2 numbers