Find a. Round to the nearest tenth.
1 answer:
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
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We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
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I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
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Answer:
Length of rotated segment = 94 cm
Step-by-step explanation:
Rotation is transformation of a figure or a segment about a center which rotates the figure or segment about the center with the angle of rotation.
Rotation is that type of transformation in which the image and pre-image are congruent. This means that rotation has no effect on shape and size of figure or segment and thus, the shape and size of the figure or segment remains same after rotation.
It is given that a segment of length 94 cm is rotated degrees around a center
.
The rotation will have no effect on size of the segment as stated above.
Thus, the segment after rotation will still measure 94 cm.