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!!!
16 ÷ 12 = 1.33333.....
The answer lies in between the number 1 and 2.
Answer:
Step-by-step explanation:
40/6=6.66666667
The grams of apples left is 413765 grams
<h3>How to determine the value</h3>
From the information given, we have that:
- There are 36 crates of apples
- Each contains 25 kilograms of apples
- 486,235 grams of apples were sold
If we have 36 crates, let's determine the the total grams of apples
1 crate = 25 kilograms = 25000 grams
36 crates = x
x = 25000 × 36
x = 900000 grams
The total grams of apple is 900000 grams
The grams left = Total - sold = 900000 - 486,235 = 413765 grams
Thus, the grams of apples left is 413765 grams
Learn more about word problems here:
brainly.com/question/1781657
#SPJ4
1/2x+20=1/3x+30
Subtract 20 on both sides
1/2x=1/3x+10
Subtract 1/3x on both sides
1/6x=10
Multiply by 6 on both sides
X=60