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:
Step-by-step explanation:
Tienen 15 hojas de pegatinas en total.
<h3>
Answer: Choice D</h3>
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Explanation:
The first figure has 4 sides (quadrilateral)
The second figure has 5 sides (pentagon)
The third figure has 6 sides (hexagon)
Each time we increase the number of sides by 1.
The fourth figure must have 7 sides (heptagon). The only thing that has 7 sides is the figure listed in choice D.
Answer: D
Step-by-step explanation:
Triangle D is not a enlargement of Triangle A because it is not the same type of number. 3 is an odd number, while 60 is an even number. The answer is D.
Hope this helps!
Answer:
the second bag because the ratio is greater
Step-by-step explanation:
Bag1
fruits 3 : 5 nuts so 3+5=8 and 60/8=7.5 but 7.5*3=22.5
ratio is 3/5=0.428
Bag2
fruits 7 : 10 nuts so 10+7=17 and (60/17)*7 ≈ 24.7
ratio is 7/10=0.7
