Answer:
12 units
Step-by-step explanation:
To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.
A² + b² = c² ⇒ right triangle
a² + b² < c² ⇒ obtuse triangle
a² + b² > c² ⇒ acute triangle
a = 12 ft ; b = 15 ft ; c = 20 ft
12² + 15² = < > 20²
144 + 225 = < > 400
369 < 400 OBTUSE TRIANGLE
√369 = 19.21
20 - 19.21 = 0.79
<span>It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.</span>
9514 1404 393
Answer:
{x | x is a real number}
Step-by-step explanation:
The domain of any polynomial function is "all real numbers."
Answer:
Slope: -7/2
y-intercept: 5/2
y = -7/2x + 5/2
Step-by-step explanation:
Answer:
5.525
Step-by-step explanation:
1. (7x^(2))/(2x + 6) -:(3x - 5) / (x + 3) Solve Bold
(7x^(2)) / (2x + 6) -:(3x - 5) / (x + 3)
2. 49x / 8x - (-2x) / 3x Solve Bold
49x/8x-(-2x)/3x
3. 6.125 - .6 Solve Bold
Answer: 5.525
