the length of a rectangle is 3 inches more than its width. if the length of the diagonal is 15 inches, find the dimensions of the rectangle
Answers
L^2 + W^2 = 15^2
L^2 + W^2 = 225
L^2 + W^2 = 225
(W+3)^2 + W^2 = 225
W^2 + 6W + 9 + W^2 = 225
2 W^2 + 6W = 216
2W^2 + 6W -216 = 0
W = 9
L = 12
Final answer:
The dimensions of the rectangle are determined by setting up and solving a quadratic equation using the Pythagorean theorem, based on the provided conditions; the width of the rectangle is 'w', its length is 'w + 3', and the length of the diagonal is 15 inches.
Explanation:
In this problem, we are exploring the dimensions of a rectangle. Let's represent the width of the rectangle as 'w'. Then its length, according to the problem, is 'w + 3'. Next, we will apply the Pythagorean theorem because we are told the length of the diagonal is 15. In a rectangle, the diagonal, the length, and the width form a right triangle.
Applying the Pythagorean theorem, we get: (w)^2 + (w + 3)^2 = (15)^2. Solving this quadratic equation will give us the values for w and consequently for the length.
Take into account that the unit for these measures is in inches.
Learn more about Rectangle dimensions here:
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Answers
31/ 4 = 62/ 8 ;
63 / 8 - 62 / 8 = 1 / 8 .
Answers
Your answer:16.4
I hope this helps!
16.4 is 16.403 rounded to the nearest tenth because tenths are the number right after the decimal point and if the number right after it is 5 or above you round the place above up. If the tenths are below 5 you round down.
y= 2x + 1
Answers
Answers
then y- intercept would be 13
and make 12 more each day
so the slope would be 12
and there is 15 work days
y= 12x + 13
y= 12(15) +13
y=180+13
y=193
just remember the linear equation then you will get to understand the problem
Answers
Answer:
Step-by-step explanation:
3) ∠JKN =∠ MKL Vertical angles theorem - Vertically opposite angles are equal
4) ΔJKN ≅ΔMKL AAS congruency
5) ∠J ≅ ∠ M CPCTC
Answer:
The vertical angles theorem
Step-by-step explanation:
The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent