Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x - x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley,
Length is 5 times the width.
Let width be .
So, as per question,
Length,
Now, perimeter of rectangle is given as:
Plug in 48 for , for and for b.
Therefore, width is 4 m.
Length is m.
Answer:
15 feet
Step-by-step explanation:
Quadrilateral ABCD has a scale facter of 2.5 over the quadrilateral EFGH. The order of ABCD is 60, 40, 30, and x, EFGH has y, z, 12, and 6.
6 times the scale factor of 2.5 is 15, the answer.
Answer:
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