TheThe smallest diameter of wrapper that will fit the candy bar is 5cm.
Given:
AD = DC
AC = AD + DC
Segment AD = 2.5cm
Hence:
AC = AD + AD (AD = DC)
AC = 2AD
Where:
AD=2.5
So,
AC = 2(2.5cm)
AC = 5cm
Therefore the smallest diameter of wrapper that will fit the candy bar is 5cm.
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Answer:
or , where is an integer.
There are three such angles between and : , , and .
Step-by-step explanation:
By the double angle identity of sines:
.
Rewrite the original equation with this identity:
Note, that and share the common factor . On the other hand, and share the common factor . Combine these terms pairwise using the two common factors:
Note the new common factor . Therefore:
This equation holds as long as either or is zero. Let be an integer. Accordingly:
Any that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined: