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!!!
A contractor is paving 1 mile 201.25 yards of a county road
Given distance is 1 mile and 201.25 yards
First we will convert 1 mile in feet.
1 mile = 5280 feet
Now we will convert 201.25 yards in feet
1 yard = 3 ft
201.25 yards =
feet
So total distance in feet is = 5280+603.75 = 5883.75 feet
1 foot = 12 inches
0.75 feet =
inches
This is 5883 feet and 9 inches.
Proportions are when you yet the ratio of something. Meaning part of something and how it would become whole
Answer:
25-15=w;w=10
Step-by-step explanation:
25 is the most it can weigh, and 15 is how much it weighs at the moment. The w stands for how much the weight can go up.