Answer:
rectangle
Step-by-step explanation:
the base shape is the shape that's shown at the bottom of the shape. you can picture rotating the prism and once you turn it around, you'll find the bottom shape as a rectangle.
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:
314/302=1.039735 growth in US population in 5 years
(1.039735)^1/5=0.782% average growth in US population per year.
<h3>The share of Angad is £ 13</h3>
<em><u>Solution:</u></em>
Given that,
Dan, Angad & David share some money in the ratio 1 : 1 : 3
Let the share of Dan be 1x
Let the share of Angad be 1x
Let the share of David be 3x
In total, Dan and David receive £52
Therefore,
1x + 3x = 52
4x = 52
x = 13
Therefore,
share of angad = 1x = 13
Thus share of Angad is £ 13
