Answer:
5.055 m by 13.055 m
Step-by-step explanation:
Let x represent the width of the room in meters. Then the length is x+8 meters, and the room area is ...
A = LW = (x+8)(x) = 2(rug area)
x^2 +8x = 2(3)(11) = 66
Completing the square, we have ...
x^2 +8x +16 = 82
(x +4)^2 = 82
x = -4 ±√82 ≈ {-13.055, +5.055}
The magnitudes of these dimensions are the dimensions of the room:
√82 ± 4 = {5.055, 13.055} . . . meters
Therefore, the room is 5.055 × 13.055 meters.
True. While the triangle are not congruent, their sides are proportional to each other. This is usually accomplished via a <em>scale factor</em>. For example a triangle with the side lengths 3, 3, and 3, might be similar to a triangle with a scale factor of two, which will have side lengths of 6, 6, and 6.
:)
Answer:
B is the answer
Step-by-step explanation:
The intercept is at x = 0 then y = 21 or (0,21) so A and D drop out.
The vertex (-5, -4) satisfies the equation but (-4,-5) does not so C drops out leaving B.
Answer:
20.78460969 = s
Step-by-step explanation:
tan theta = opposite side / adjacent side
tan 60 = s /12
Multiply each side by 12
12 tan 60 = s /12 *12
20.78460969 = s