Analyze the diagram below and complete the instructions that follow.
2 answers:
Answer:
D. x=7√3 , y=4√2
Step-by-step explanation:
<em>Step 1: Lets assume an imaginary line from A to B to make the triangle ABC( (refer to the attached image).</em>
AB = 4
BD = 3
<em>Step 2: Find the value of y by the sin formula.</em>
opposite = 4
adjacent = BC
hypotenuse = AC
sin (angle) = opposite/hypotenuse
sin (45) = 4/AC
√2/2 = 4/AC
AC = y = 4√2
<em>Step 3: Find the value of x</em>
Tan (45) = opposite/adjacent
1 = 4/CB
CB = 4
x = CB + BD
x = 4 + 3
x = 7
Therefore, the answer is D where x = 7 and y = 4√2
!!
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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.