How many groups of 5/6 are in 1

9514 1404 393

  1 1/5

Step-by-step explanation:

We want to find the number of times (5/6) goes into 1, so we divide ...

  1/(5/6) = 1 × 6/5 = 6/5 = 1 1/5

There are 1 1/5 groups of 5/6 in 1.

Another way to look at it

You can consider 1 to be divided into 6 equal part:

  o  o  o  o  o  o

We can group these in groups of 5, so each group is 5/6 of the whole:

 (o  o  o  o  o)  o

What we see is that we have 1 group, and 1/5 of another group.

That is, 1 has 1 1/5 groups of 5/6 in it.

mia khalifa

step-by-step explanation:

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