8. For what values of x and y must the quadrilateral be a parallelogram?
1 answer:
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Answer:
C.
D.
E.
Step-by-step explanation:
Formula for volume of a cuboid . where l is the length, w is the width and h is the height.
Using this equation we can answer the question by using the values given.
From the list of answers, we can compare each one to the answer we got and see if they match up.
The answers that match up are:
C. - it is exactly like the answer we got.
D. - if we simplify the brackets, it is exactly like the answer we got.
E. - once again, if we simplify the brackets it is like the answer we got.
None of the other answers are correct as they do not match up with the answer we got.
The values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4
<h3>How to evaluate the trigonometry functions?</h3>The figure that completes the question is added as an attachment
From the figure, we have the third side of the triangle to be
Third = √(7^2 - 4^2)
Evaluate
Third = √33
The sin(α) is calculated as:
sin(α) = Opposite/Hypotenuse
This gives
sin(α) = 4/7
The cos(β) is calculated as:
cos(β) = Adjacent/Hypotenuse
This gives
cos(β) = 4/7
The tan(α) is calculated as:
tan(α) = Opposite/Adjacent
This gives
tan(α) = 4/√33
The cot(β) is calculated as:
cot(β) = Adjacent/Opposite
This gives
cot(β) = 4/√33
The sec(α) is calculated as:
sec(α) = Hypotenuse/Adjacent
This gives
sec(α) = 7/√33
The csc(β) is calculated as:
sec(β) = Hypotenuse/Opposite
This gives
sec(β) = 7/√4
Hence, the values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4
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