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The table gives data on three different solar modules available for roofing.(TABLE CANNOT COPY)(IMAGE CANNOT COPY)You must determine the size of frame needed to support each panel on a roof. (Note: The sides of each frame will form a right triangle, and the hypotenuse of the triangle will be the width of the panel.) In Exercises $135-136,$ use the Pythagorean to find the dimensions of the legs for each frame under the given conditions. Round answers to the nearest tenth.One leg is twice the length of the other.
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 3
Simplifying Radical Expressions
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
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in this problem. The rectangles represent the solar panels. We have three different models, and then the right triangle of the bottom of it represents the frame that's being constructed. And the bottom side of the solar panel represents the high pot news of the right triangle, and then for the right triangle. One leg is twice the other, so we could label them X into X. And let's start by coming up with a formula in general for how to find X, and then we can apply it to each of these frames. So using the Pythagorean theorem, we would have X squared plus two X squared equals the high pot new squared, so three X squared equals that have hot new squared. So if we divide by three, we get X squared equals hi pot new squared over three. And then if we square root and we ignore the negative values because these lengths have to be positive, the square root, the positive square root would be h over square root three. So the way we're going to get each of the lengths of the legs is to take the high pot news and divide by square root three. Okay, so for the 1st 1 we would have 26 divided by square root three to get X, and that's going to be approximately 15.0 inches. And so the other leg is twice that, so the other leg would be 30.0 inches. And then for the next model, we would have X equals 24 divided by square root three. And that is approximately 13.9 inches. And then when we double that, we get 27.7 for two X. So what I did is I doubled the UN rounded value, as opposed to doubling the rounded value so that it would be more accurate. And then for 20 for the high pot noose of 20 we'll take 20 divided by square root three, and that gives us approximately 11.5 inches. And then we'll double that and get 23.1. Again. I doubled the non rounded number for more accuracy, so these air the leg lengths for the frames
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