Marsha notices that all of her siblings are more than 5 foot 2 inches tall but at most 6 foot 1 inch tall. Write an inequality or pair of inequalities to represent all possible values, in inches, for Marsha’s siblings heights. Graph this set of values on the number line.

62 < x 73

Step-by-step explanation:

5 feet and 2 inches all in inches would be 62 (12 inches per foot, multiplied by five equals 60, add 2). 6 feet and 1 inch would be 73 inches (12 inches per foot, multiplied by six equals 72, add 1).

Since this inequality has words such as "more than" we have to use # < x. But since at most also applies, we have to use x #.

All her siblings are over 62 inches, so 62 < x. Remember the at most 73 inches, which would be 73 x. We can conclude that the inequalities would be expressed as 62 < x 73.

could you provide figure.

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