A) The Girth is calculated as; 45.625 inches
B) The calculated girth is greater than the maximum of 45 inches and as such we will conclude that we will not be able to store the suitcase in the overhead compartment.
<h3>How to use basic math's operations?</h3>
We want to find the girth of a suitcase.
Now, we are told that the formula to calculate the girth of a suitcase is;
Girth = Length + Width + Depth
A) We are given;
Length of Suitcase = 24.5 inches
Width of suitcase = 14.25 inches
Depth of Suitcase = 6.875 inches
Thus;
Girth = 24.5 + 14.25 + 6.875
Girth = 45.625 inches
B) We are told that in order for us to use the suitcase in the overhead compartment, that the girth must not exceed 45 inches.
Now, our calculated girth is greater than the maximum of 45 inches and as such we will conclude that we will not be able to store the suitcase in the overhead compartment.
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Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
- This concludes that the rate of change is contant i.e. $30 dollars per week
Therefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
Answer:
1 ..................or 1/1