Hello,
V=π R²h=355=5*71
1) h=355 , R=√(1/π) ,V=π*(√(1/π)²*355=π/π * 355=355
2) h=5, R=√(71/π), V=π*(√(71/π))²*5=71*5=355
3) a>0,h=a, R=√(355/(πa)), V=π*(√(355/(πa)))²*a=π*355/(πa) * a=355
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes
Answer 6 is and exponential, but I don’t know what 7 is, sorry
70% = 0.7
0.7 of 200 = 0.7*200
= 140
So, 70% of 200 is 140