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.
Step-by-step explanation:
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200 +5(200) = 1200 mochas a week in total
They sold 1000 iced mocha in a week
200 x 4=800 hot mochas in 4 weeks
1000 x 4=4000 iced mochas in 4 weeks
They sold 4000-800= 3200 more iced mochas in 4 weeks
Answer:
This skill will come in handy when working with word problems or real life situations.
Answer:
We conclude that average reflectometer reading for a new type of paint is greater than 20
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 20
Sample size, n = 13
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
Formula:
Degree of freedom = n - 1 = 13 - 1 = 12
Now, we calculate the p-value with the help of standard table.
P-value = 0.004
Since, the p-value is less than the significance level, we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support that average reflectometer reading for a new type of paint is greater than 20