Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
Answer:
42 yards 2 feet 11 inches
Step-by-step explanation:
Freya, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton.
She has to repair 17 cartons.
The amount of twine needed to wrap 17 cartons
= (2 yards 1 foot 7 inches) x 17
= 34 yards 17 feet 119 inches
Now let's convert the answer to larger units
1 yard = 36 inches
1 yard = 3 feet
Convert 119 inches to yards
119 inches = 3 yards 11 inches
17 feet = 5 yards 2 feet
Therefore, 34 yards 17 feet 119 inches = (34 + 3 + 5 ) yards 2 feet 11 inches
Answer = 42 yards 2 feet 11 inches
Thank you.
Step-by-step explanation:
Hope you understand through the steps on the attachment, if not kindly reach out
Answer:
b 375
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
