What is the length of line segment c d? round to the nearest tenth. 2.3 cm 4.0 cm 10.7 cm 18.6 cm
1 answer:
The value of CD is 10.7 cm , Option C is the right answer.
<h3>What is a Line Segment ?</h3>A line segment is a line of fixed measure.
From the figure , as Triangle ABC is a right angled triangle
sin 30 degree = (Perpendicular / Hypotenuse)
∠ B = 30° , AB= 10 cm
sin 30 = AC/10
AC = 5 cm.
To determine CD ,
In Triangle ADC ,
tan 25 = Perpendicular / Base
tan 25 = AC / CD
tan 25 = 5 / CD
CD = 5 / 0.4663
CD = 10.7 cm
Therefore the value of CD is 10.7 cm , Option C is the right answer.
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ANSWER
The graph in option D.
EXPLANATION
The given function is:
We complete the square to obtain:
The graph of this function opens upwards and has its vertex at (2,-2).
The y-intercept is 10.
From the options the graph that satisfies all these properties is D.