Answer:
0.125 and 1/8
Step-by-step explanation:
To convert a percentage to a decimal, divide by 100 to move 2 decimal places to the left.
12.50% / 100 = 0.125
To convert a percentage into a fraction, rewrite the decimal number you got and put it over 1. Multiply the numerator and denominator by 1000 to move 3 decimal places to the right and get your fraction.
· 
= 125/1000
Divide the numerator and denominator by the GCF, 125, to get your simplified fraction.
125/125 = 1
1000/125 = 8
125/1000 = 1/8
Since all three sides are different lengths and angles, that triangle would be considered an Isosceles triangle.
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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
To find volume you just multiply the length, width, and height, so 15,000 cubic feet.
