Answer:
90°, 270°
Step-by-step explanation:
2r sin(Ф/2) = c
2r sin (Ф/2) = √2r
divide both sides by 2r
sin (Ф/2) = √2r/2r
sin(Ф/2) = √2/2
From the unit circle sin is √2/2 at 45°, and 135°
so Ф/2 = 45
Ф=90°
and Ф/2 = 135
Ф= 270°
Answer:
The correct answer is D. The points are rotated 180 degrees and scaled by a factor of 0.5. I assume that the 0.5 is the expected value in the text box labelled "D" (for dilation perhaps?)
<h3>
Answer: 35</h3>
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Explanation:
Check out the diagram below.
U is between T and V, and U is on segment TV. We can see that the smaller pieces TU and UV add back up to the largest segment TV
TU + UV = TV
17 + 18 = TV
35 = TV
TV = 35
Segment TV is 35 units long.
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Answer:
a. 0.8727rad
b. 5.585rad
that should be correct, if not, i apologize T_T
