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Answer:

Step-by-step explanation:
According to congruent chords and arcs theorem, if
then
.
This means that
Thus:
(full circle = 360°)



Plug in the values into the equation


Add like terms

Subtract 36 on both sides


Divide both sides by 12

Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft
Answer:
Surface area of square box cover is 4x12=48
Step-by-step explanation:
Given cylindrical cup have 2 in of radius and height of 6 in.
It is said that we need to cover the cup leaving top and bottom of cup.
To find how much material to cover:
After covering the cup, square box will be formed around the cup.
As shown in figure, Top view of square cup and box.
One face of box has length of diameter of cup = 2 in and height of box as height of cup = 6 in
Therefore, Area of one face of square box is length x height = 2 x 6 =12 
Since, Box having 4 faces
Surface area of square box cover = 4 x area of one face of box
= 4x12=48