If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.

Step-by-step explanation:

As we know the circumference of a circle is $2\pi r$

The radius of the hub cap needs to be devised to determine the area

$83.96$ $= 2* 3.14*r$

$r = \frac{83.96}{2*3.14}$

$r = 13.37$ centimeters

Area of the hub cap = $\pi r^{2}$

Substituting the devised value of r in the above equation, we get -

$3.14 * 13.37^2\\$

$561.2485$ square centimeter

If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.

5 0

3 years ago

What equation best models this data? (Use y to represent the population in millions, and t to represent the year, assuming that

lapo4ka [179]

Answer:

y = 2.31x + 309.35

Step-by-step explanation:

Whenever you are checking for a best fitting equation you want to check if it has a constant slope. If it does then the relation is linear and super easy.

So, since the t values are increasing by the same amount you want to see if the y values are too. And they are, each population entry is increasing by 2.31, this is the slope.

Also, keep in mind you can caluclate slope with the equation $\frac{y_2-y_1}{x_2-x_1}$ here x is replaced by t though.

Now, since we know it's linear and we know the slope we can find the equation with the formula y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31

I am just going to use the first point. so x1 = t1 = 0

y - 309.35 = 2.31(x-0)

y = 2.31x + 309.35

Let me know if there was something you didn't understand.

5 0

3 years ago