Olivia gave 110 of her stamp collection to her brother and 45 of her collection to her sister. What fraction of her stamp collection did Olivia give away? Enter your answer as a fraction in simplest form by filling in the boxes. $$

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right

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

-3.5 is the distance.

i've had this question so choose the one in the absolute value sign.