Take the dot product, if the dot product is zero, they are orthogonal
<span>the dot product here is 15(-5) + 45(12) so the vectors are not orthogonal </span>
<span>to see if they are parallel, take the dot product again, using the definition </span>
<span>u dot v = mag u x mag v cos (theta) where mag is the magnitude of the vector and theta is the angle between them </span>
<span>we know from above that u dot v = 465 </span>
<span>mag u = sqrt[15^2+45^2]=47.43 </span>
<span>mag v = sqrt[5^2+12^2]=13 </span>
<span>so we know: </span>
<span>cos(theta) = 465/(47.43x13) = 0.75 </span>
<span>
so theta = 41 deg</span>
Answer:
0.5
Step-by-step explanation:
dont forget this.
1/2 is 0.5 3/4 is 0.75 and 1/4 is 0.25
take notes
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
Angles in a triangle add up to 180
set the three measurements equal to 180 and solve for x
x + x + 46 = 180
2x + 46 = 180
2x = 134
x = 67
answer: x = 67 degrees
