-0.3 is the. correct answer.
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
Let x = amount invested at 8%
26000 - x = amount invested at 6%
0.08x + 0.06(26000 - x) = 1860
solving the equation you get x = 15000
and subtract that from 26000 you get 11000
8% investment = 15000
6% investment = 11000
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-1, 4)
Point (3, 12)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

- [Fraction] Divide:

Answer:
The Distance cover by boat in 2 hours and 15 minutes is 72 km
Step-by-step explanation:
Given as :
The Distance cover by boat = 128 kilometer
The time taken is 4 hours
As , Distance = Speed ×Time
So , Speed = 
Or, Speed = 
∴ Speed = 32 km per hour
Now, again The boat travel 2 hours and 15 minutes further with speed 32 kmph
So, Time2 = 2 +
Or, Time2 = 2 +
I.e Time2 =
hours
Again , Distance = Speed ×Time
So , Distance = 32kmph ×
hours
I.e Distance =
= 72 kilometer
Hence The Distance cover by boat in 2 hours and 15 minutes is 72 km Answer