Answer:
<h2>Explanation will help you to understand better.</h2>
Step-by-step explanation:
Lets take an example to get to the answer.
Suppose, at the lunch time you are going to eat a cake, which you want to share with your friend equally. So, you have divided it in 2 equal parts. At the mean time your friend got stuck in somewhere else, and so you finished the cake all alone.
As you finished the whole cake, it means you ate the two equal parts.
It means you ate 2/2 part of the cake that is the whole cake.
Now, if you had divided the cake in 6 equal parts, then it would have called like 6/6 part of the cake.
Hence, 1 = 2/2 = 6/6.
.4
if you multiply .04 by ten you get .4
it needs to be 32 feet. it says right there in the answer
Answer:
y = 3/4x - 13
Step-by-step explanation:
As we already know the slope, we just need to find the y-intercept.
y = 3/4x +b
-7 = 3/4(8) + b
-7 = 6 + b
-13 = b
y = 3/4x - 13
First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be
![C=2\pi r = 32\pi](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%20%3D%2032%5Cpi)
So, we have the following proportion:
![360\div 32\pi = x \div 48](https://tex.z-dn.net/?f=360%5Cdiv%2032%5Cpi%20%3D%20x%20%5Cdiv%2048)
that you can read as: "if an angle of 360 corresponds to a distance travelled of
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have
![x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B360%5Ccdot%2048%7D%7B32%5Cpi%7D%20%3D%20%5Cdfrac%7B17280%7D%7B32%5Cpi%7D%20%3D%20171.887338539%5Cldots%20%5Capprox%20171.9)