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>
3n+4<-62
n being the number
+4 for the number being increased by 4.
3n=3*n
< the less than sign
Hope this helped!
Answer:
0.9
90%
Step-by-step explanation:
Dividing 10 into 9.0 we get the decimal 0.900.
As a percentage this is 0.900 * 100 = 90%
Answer:
87
Explanation:
This is an arithmetic sequence with <u>common difference</u>: 7 and <u>first term</u>: 17
Arithmetic sequence:
a + (n - 1)d where n is term position, d is difference, a is first term
17 + (n - 1)7
7n + 10
The eleventh term:
7n + 10
7(11) + 10
77 + 10
87
Answer:
h=15
Step-by-step explanation:
subtract 16 from 31
