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:
66
Step-by-step explanation:
10% of 330 = 33
another 10% of 330 = 33
therefore, 20% of 330 = 66
Answer:
25.
Step-by-step explanation:
50% = 1/2 and 1/2 of 50 is 25. so 50% is 25.
Let us consider,
The problem: 'Find two numbers between which the quotient of 50 ÷ 7 lies'.
Solution: We will solve this in two steps.
Step 1: Form a table of multiples of 7.
Counting number Multiple of 7
1 7
2 14
3 21
4 28
5 35
6 42
7 49
8 56
Step 2: Use the table to find the multiples closest to 50.
Since, 49 = 7 × 7 and 56 = 7 × 8
Thus, 50 lies between 49 and 56.
Then, the quotient is either 7 or 8.
As 50 is closest to 49.
Hence, the quotient of 50 ÷ 7 is 7.
Answer:
18
Step-by-step explanation:
If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished