Josh is inviting his friends to a party. he has 42 granola bars and 56 fruit drinks, and he wants to give the same number of each item to each friend.

Number of granola bars that Josh gave to each of his friend =3

Number of fruit drinks that Josh gave to each of his friend =4

Step-by-step explanation:

Number of granola bars with Josh = 42

Number of fruit drinks with Josh = 56

He wants to give the same number of granola bars and fruit drinks to each friend.

To find : Number of granola bars and fruit drinks Josh give to each friend.

First, find HCF of 42 and 56 .

Therefore, HCF ( 42, 56 ) = Highest common factor of 42 and 56 = 14

Number of granola bars that Josh gave to each of his friend = Number of granola bars with Josh / HCF ( 42, 56 )

= 42/14 = 3

Number of fruit drinks that Josh gave to each of his friend =  Number of fruit drinks with Josh / HCF ( 42, 56 )

= 56/14 = 4

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west