Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
<u>Answer:</u>
The height of the ladder is 14.491 feet
<u>Explanation</u>:
Given the height is 11 feet
Base = 7 + 2 = 9 feet
Consider the ladder to be the hypotenuse
Applying Pythagoras Theorem,
Substituting the values in the above formula,
= 112 + 92
= 121 + 81
= 210
H = sqrt(210)
H = 14.491
Therefore, the height of the ladder is 14.491 feet
360 is one of many numbers divisible by this number set.
Answer:
1
Step-by-step explanation:
Any number raised to the 0th power is 1, except for 0; 0 to the 0th power is undefined.
