Answer:
2.42 feet
Step-by-step explanation:
the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588
Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference
We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius
We divide 2 from both sides of the equation (3.14)(radius) = 3.794
We divide pi from both sides (radius) = 1.208
Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius
1.208 * 2 = 2.416 or 2.42 rounded up
Final answer = 2.42 feet
Answer: The equation for line b is 
The equation for line t is 
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
Answer:
t = 9 s
Step-by-step explanation:
A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.
Answer:
110%
Step-by-step explanation:
because there are two different squares that represent a whole, each with ten sections, the most reasonable answer would be 110%. I hope this helps you!
Answer:
$412.92
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.

<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
The first step is to change 4% into its decimal form:
4% ->
-> 0.04
Now plug in the values:


It would be worth $412.92