Factors and solution

Mathematics

1 answer:

mel-nik [20]3 years ago

3 0

The answer to this math problem is = 0

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3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p

Kazeer [188]

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

$D = \sqrt{L^2 + W^2}$

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

$169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156$

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

8 0

2 years ago

Please Help me. Also if you could show your work thatd be great.

Over [174]

Answer:

3) $all \: real \: numbers$ , $( - \infty , \infty )$ , or $- \infty \leqslant x \leqslant \infty$ (same thing)

4) $- \infty < y < 0$ or $( - \infty ,0)$ (same thing)

5) $-2$ or $(0, -2)$ (same thing)

Step-by-step explanation:

3) Domain represents the amount of $x$ -values in a function. The image shows that the function's arrows point in both directions (right and left), infinitely, so the domain would be $all \: real \: numbers$ , $( - \infty , \infty )$ , or $- \infty \leqslant x \leqslant \infty$ (same thing).

4) Range represents the amount of $y$ -values in a function. The function goes downward forever ( $- \infty < y$ ) by the indication of an arrow and halts just under the y-axis ( $y < 0$ ). After combining these two inequalities, you see that the range is $- \infty < y < 0$ or $( - \infty ,0)$ (same thing).