Answer:
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Step-by-step explanation:
Step 1
Express the angle of inclination as follows;
Tan∅=H/R
where;
∅=angle of inclination
H=vertical rise
R=distance of run
Step 2
Determine the angle inclination when;
H=3 feet
R=2 feet
replacing;
Tan∅=(3/2)=1.5
∅=Tan^(-1)(1.5)
∅=56.31°
Determine the angle inclination when;
H=5 feet
R=3 feet
replacing;
Tan∅=(5/3)=1.67
∅=Tan^(-1)(1.67)
∅=59.03°
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Answer:
K1310.4
Step-by-step explanation:
Basic pay per hour = K7.20
Overtime pay during the week per hour = 1 1/2 * K7. 20 = K10.8
Weekends = 2 * K7.20 = K14.4
Basic hours per week = 70 hours
In a fortnight :
Basic hours = 70 * 2 = 140 hours :
Hence, Overtime during the week = (160 - 140) = 20 hours
Weekend hours = (4 +2) = 6 hours
Total earning :
(140 * 7.20) + (20 * 10.8) + (6 * 14.4)
1008 + 216 + 86.4
= K1310.4
An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.
You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.
y = mx + b
1 = 4(-2) + b
1 = -8 + b
9 = b
Now we can use that and the slope to create the equation y = 4x + 9
Answer:
52
Step-by-step explanation:
180 - 127 = 53
53 + 75 = 128
180 - 128 = 52
