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 is number d
volume = area × height
= 750 × 25 = 18750 cubic in
Hello! So, to find the mass of the bag of rice in kilograms, you must do 3.18/2.2. 3.18/2.2 is 1.4454 and other numbers or 1.45 when rounded to the nearest hundredth. The bag of rice weighs about 1.45 kilograms.
Answer:
16 times
Step-by-step explanation:
The question is basically asking :
<em>what number multiplied with the least amount would give me the greatest amount??</em>
<em />
<em>Let that number be x, so we can say:</em>
<em>least amount * x = greatest amount</em>
<em />
From the plot, we can see that least amount is 1/8 inches
The greatest amount is 2 inches
Now we can put it into the formula and find x:
1/8 * x = 2
x = 2/(1/8)
x = 16
