Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.
Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.
We are to find the lengths of the sides of the mirror and the painting.
Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.
According to the given information, we have

Therefore, the side length of mirror is 7 ft and the side length of painting is (7+2) = 9 ft.
Thus, the side lengths of mirror and painting are 7 ft and 9 ft respectively.
Since cosecant is 1/sine and since cosine is just sine shifted by π/2, the reciprocal of the cosine, that is y = sec x must have the same range.
Answer:
=14+7x=35
=7x =35-14
=x =21/7
x=3
The answer is 3
Step-by-step explanation:
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Answer:

Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be
of the circle's length (circumference).
The circumference of a circle is given by
, where
is the radius of the circle. Therefore, the circumference of the circle is
. As we found earlier, the length of the arc is
of this circumference. Therefore, the arc's length is
.
To the nearest integer, this is
.
Answer:

Step-by-step explanation: