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Savatey [412]
3 years ago
9

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

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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).

5) The y-intercept is where the function crosses the y-axis. In this function, the y-intercept is -2 or (0, -2) (same thing).

5 0
3 years ago
The population is decreasing at a rate of 5% per year. If the population is 30,000 today, what will the population be in 12 year
Lera25 [3.4K]

Answer:12,000

Step-by-step explanation:

.05*30,000=1,500

1,500*12=18,000

30,000-18,000=12,000

5 0
3 years ago
Read 2 more answers
Ana deposits $1,500 in a savings account that earns 4% interest
Masja [62]

Answer:

She will have 1824.98 dollars in five years

Step-by-step explanation:

1500 X 1.04 ^ 5

7 0
3 years ago
What is the next fraction in this sequence? Simplify your answer.
gulaghasi [49]

Answer:

7/13

Step-by-step explanation:

(0.538461538)

5 0
3 years ago
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