Answer: 5
Step-by-step explanation: Let x = the number
x^10 ÷ x^7 = 125
x^3 = 125
x = 5
18×3=54
3.99×2=7.98
54+7.98+45=106.98
106.98×.085=9.0933
106.98+9.0933=116.0733
rounded to 116.07
answer 116.07
Answer: 220000 grams for male
Step-by-step explanation:
Vector a = (2, 1, 2)
Vector b = (1, 2, 4)
Vector p = (k, k, k)
Vector a to vector b = vector b - vector a = (1, 2, 4) - (2, 1, 2) = (1 - 2, 2 - 1, 4 - 2) = (-1, 1, 2)
Vector a to vector p = vector p - vector a = (k, k, k) - (2, 1, 2) = (k - 2, k - 1, k - 2)
Vector a to b is perpendicular to vector a to p if the dot product of vector a to vector b and vector a to vector p is equal to zero.
i.e. (-1, 1, 2) . (k - 2, k - 1, k - 2) = 0
-1(k - 2) + (k - 1) + 2(k - 2) = 0
-k + 2 + k - 1 + 2k - 4 = 0
2k -3 = 0
2k = 3
k = 3/2
For the angle, correct it to how many significant figures or decimal places whatever the question wants you to. Hopefully this helps :D
For me, it's usually to 1 D.P, so 38.1°.
