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mestny [16]
3 years ago
15

the base of a fountain is rectangular.its dimensions are 1 2/3 ft by 2 2/3 ft . what is the area of the base of the fountain

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0
If you would like to find the area of the base of the fountain, you can calculate this using the following steps:

1 2/3 ft * 2 2/3 ft = 5/3 * 8/3 = 40/9 = 4 4/9 square feet

The area of the base of the fountain is 4 4/9 square feet.
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\boxed{(6, -3)}

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be (x_{1}, y_{1}), and let point B be (x_{2}, y_{2}).

(-6, 3) → (x_{1}, y_{1}).

(26, -13) → (x_{2}, y_{2}).

Let 5 be n, and 3 be m.

5:3 → n:m

(\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}).

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

(\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) →

(\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) →

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→

(\frac{6}{1}, \frac{-3}{1})

→

(6, -3).

Thus the coordinates of B are:

\boxed{(6, -3)}

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