Find the angle between the given vectors to the nearest degree. a. 110.7 b.71.6 c. 108.4 d. 112.3

c. 108.4

Step-by-step explanation:

cos theta = (u dot v)/ (||u||  ||v||)

where dot stands for dot product and || || is the magnitude

u = (1,5)   v= (7,-4)

u dot v = (1*7 + 5*-4)  = 7-20 = -13

||u|| = sqrt( 1^2 +5^2) = sqrt(1+25) = sqrt(26)

||v|| = sqrt(7^2 + (-4)^2) = sqrt(49+16) = sqrt(65)

cos theta = -13/ sqrt(26) sqrt(65)

cos theta = -13 /sqrt(1690)

theta = arccos (-13/sqrt(1690))

theta = 108.43

i think that you should ask google for the answer to that problem because if we don't know it google does

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: