Answer:
2nd option on the top right
Step-by-step explanation:
3p + 34 = 90
3p = 90 - 34
3p = 56
p = 56/3
p = 18.67 (thats rounded)
2r + 44 = 76
2r = 76 - 44
2r = 32
r = 32/2
r = 16
53 + 6s = 1421
6s = 1421 - 53
6s = 1368
s = 1368/6
s = 228
" the product " means multiply
p x r x s = 18.67 x 16 x 228 = 68,108.16
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: 3
Step-by-step explanation:
Median is a statistical measure that determines the middle value of a dataset listed in ascending order.
arranged data is 0,1,2,3,3,5,9,12
number of data terms=8
if data is even then
median=(3+3)/2=3
