First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

$A=\pi r^2$

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to

radius = diameter/2

radius = 28 yd/2

radius = 14 yd

Then, the area of the outer circle is

$\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}$

In the same way, the radius of the inner circle is

radius = diameter/2

radius = 18 yd/2

radius = 9 yd

Then, the area is

$\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}$

So, the area of the path is

Area path = 615.44 yd² - 254.34 yd²

Area path = 361.1 yd²

Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

$361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}$

Therefore, the number of gallons is 46 because we need to round the result to a whole number.

8 0

2 years ago

A city planner is making a scale model of his city for his office building. The

Artemon [7]

Answer:

(4, 1)

Step-by-step explanation:

For any rectangle or square located on the axes, match the pairs and find what's missing. 3 -- 3, 4 -- 4. unmatched are 4 and 1. 4 is x because it's missing from x and same for 1 and y.

3 0

3 years ago

Read 2 more answers

Select all that apply. A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points a

sergejj [24]

Answer:

(3,2)

(-9,-6)

Step-by-step explanation:

Given that the graph is a direct variation.

The equation of variation is:

$x=ky$

Since point (6, 4) is on the graph

$6=4k\\\\k=\dfrac64$

Therefore, the equation connecting x and y is:

$x=\dfrac64y$

$\text{When y=2},x=\dfrac64 \times 2 =3\\\\\text{When y =}-6,x=\dfrac64 \times -6 =-9\\\\\text{When y =}8,x=\dfrac64 \times 8 =12\\\\\text{When y =}-3,x=\dfrac64 \times -3 =-4.5$

Therefore, the points that are also on the graph are:

(3,2) and (-9,-6)

7 0

3 years ago

You spent 8 1/4 hours in high school each day you have lunch for 45 minutes and you spend 30 minutes changing classes of all of

vodomira [7]

Answer:

I believe its about 48 minutes long each period...

Was there multiple choice answers ?

Step-by-step explanation:

3 0

4 years ago