Answer:
Sin (E) = √74/(2√23)
Step-by-step explanation:
Reference Angle = E
Hypotenuse = 2√23
Adjacent = 3√2
Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)
Recall SOHCAHTOA.
Thus,
Sin (E) = opp/hyp
Sin (E) = √74/(2√23)
Answer:The length of each piece of fabric is 1/8 yards.
Step-by-step explanation:
Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. This means that he cut 1/4 yards of fabric into two equal pieces.
An expression for the length, in yards, of each piece of fabric will be
Let the length of the fabric be x in yards. Also, let the length of each piece of fabric be y in yards. It becomes
y = x/2
Since x = 1/4
y =( 1/4)/ 2 = 1/4 × 1/2
y = 1/8
The length of each piece of fabric is 1/8 yards.
What was the original container?