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!!!
Answer:
-62
Step-by-step explanation:
Plug 27 into the equation
a27=-10+(27-1)(-2)
27-1=26
26 times -2 = -52
-52-10=-62
A Pentagon can be broken up into 5 equal triangles. Area of the Pentagon is the sum of all the 5 triangles.
Area of the pentagon = 5 ( 1/2 x 6.2 x 9) = 139.5 mm²
Answer: 129.5 mm² (Answer D)
Answer: It is the proper ratio.
Step-by-step explanation: All of the numbers added together would make the 500 mixed nuts that it mentioned which would be 100%
271 plus 108 plus 78 plus 43 = 500