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:
Please, see attached picture
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool.
The equation is
f(x) = (1/4)*(4)^(x)
Which is an exponential function, that grows rapidly to infinity as x increases.
3 3/8 · 4 1/3
To make this easier to solve, let's change the mixed numbers into improper fractions. This is done by multiplying the denominator (8) by the whole number (3) and then adding that to the numerator (3), keeping the denominator the same. Do the same thing with the second fraction.
27/8 × 13/3
Now you can multiply.
(27 × 13)/(8 × 3)
351/24
Now think of how many times 24 can go into 351. You can find this out by plugging it into a calculator. You should get 14.625. Since we need a whole number though, round down to 14.
14 × 24 = 336
This means that there will be 15 left over.
So far the fraction looks like this:
14 15/24
The last thing you need to do is simplify. A number that can go into both 15 and 24 is 3, so divide them by that.
14 5/8
The answer is
D. 14 5/8
