What underlined digit nothing is underlined
Answer:
Part A: Width is 1/4 yard
Part C: Each section: L = 1/9 yard, W = 1/8 yard
Step-by-step explanation:
Part A:
The area is given as 1/12 yard² and the length is given as 1/3 yard. The area of a rectangle is A = LW, plug in the given values and solve...
1/12 = (1/3)W
3/12 = W (multiply both sides by 3 to get rid of the fraction on the right)
1/4 yard = W (reduce the fraction on the left)
Part C: The width is 1/4, and there are 2 squares along the width, so each section is
1/4 ÷ 2 = (1/4)*(1/2) = 1/8 yards wide
The length is 1/3 and there are 3 sections along the length, so each section is
1/3 ÷ 3 = (1/3)*(1/3) = 1/9 yards long
The answer would be B: 1/2 since the rise is 1 and the run is 2
It's not the direct answer you need, you have to put the point and draw the line on it.
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8