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Answer: B
Step-by-step explanation:
Let's analyze each option:
A) We know all the sides:
Ok, if we know all the sides, we can make only one triangle with it, so this defines only one triangle:
B) We know only the angles, all the angles are the same so this is an equilateral triangle, now we can make infinity equilateral triangles if we change the length of the side, so this criterion makes more than one triangle.
C) We have two angles (so we basically have 3 angles, because all the angles of a triangle must add up to 180°) and one side, so the other two sides are defined already, with this we can make only one triangle.
D) Two sides and one included angle (meaning that this angle goes between the two known sides)
With this, we already can find the missing side and then the complete triangle, so this criterion only defines one triangle.
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
Answer:
се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см