<span>the medium coffee cup has a capacity 12 fl-oz volume. the large cup contains 16 fluid ounces capacity in volume. and the extra large, or jumbo cup, is 20 fl oz large. the standard mug size holds 12 fluid ounces of a liquid.</span>
The numbers are The numbers are 12 and 14
Step-step explanation:
Answer:
-1/4 slope
Step-by-step explanation:
y2 -y1 = -9 - (-6) = -3
x2-x1= 3 -9 = 12
-3/12 = - 1/4
We can divide this figure into triangle and trapezoid.
Area of a trapezoid = (1/2)*(base1 +base2)*height = (1/2)(11.75+18)*6.12 = 91.035
Area of a triangle = (1/2)*base*height=(1/2)*12*13.42 = 80.52
Area of the whole figure = 91.035 + 80.52 = 171.555
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>
