Answer:
Correct answer: c = 29 m, a = 21 m and b = 20 m
Step-by-step explanation:
Given:
a = b + 1 longer leg a
c = b + 9 hypotenuse c
To solve this problem, we will use Pythagoras' theorem
c² = a² + b²
(b + 9)² = (b + 1)² + b²
b² + 18 b + 81 = b² + 2 b + 1 + b²
2 b² - b² + 2 b - 18 b + 1 - 81 = 0
b² - 16 b - 80 = 0 we will factorize this equation
⇒ b² - 20 b + 4 b - 80 = b (b - 20) + 4 ( b - 20) = (b - 20) · (b + 4) = 0
(b - 20) · (b + 4) = 0 ⇒ b = 20 or b = - 4 false
we accepted b = 20 m
c = b + 9 = 20 + 9 = 29 m
c = 29 m
a = b + 1 = 20 + 1 = 21 m
a = 21 m
God is with you!!!
Try this solution (based on 3 steps: equation of the line; points in this line; equation of the plane).
Answer: 6
explanation:
set up proportions
(4+2)/9 = 4/x
6/9 = 4/x
simplify
2/3 = 4/x
cross multiply
2x = 12
divide
x = 6
Hi there!
Since there are 4 columns of boxes fully shaded in and one other box with one section shaded in out of 6 sections, the answer would be
4 + 1 of 6, or
4 1/6.
Hope this helps!