That is 30/80 that reduces down to 3/8
How u get it is 2 times 15 over 5 times 16 then divide 30 and 80 by 10 to get 3/8
The nearest degree would be 40
Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units
Answer:
![130.2845\leq h\leq 137.7245](https://tex.z-dn.net/?f=130.2845%5Cleq%20h%5Cleq%20137.7245)
Step-by-step explanation:
Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation
![|h - (2.47f + 54.10)| \leq 3.72](https://tex.z-dn.net/?f=%7Ch%20-%20%282.47f%20%2B%2054.10%29%7C%20%5Cleq%20%203.72)
If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:
![|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\](https://tex.z-dn.net/?f=%7Ch%20-%20%282.47%2832.25%29%20%2B%2054.10%29%7C%20%5Cleq%20%203.72%5C%5C%7Ch%20-%20%2879.9045%20%2B%2054.10%29%7C%20%5Cleq%20%203.72%5C%5C%7Ch%20-%20%28134.0045%29%7C%20%5Cleq%20%203.72%5C%5C)
If the modulus function is positive then:
![h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245](https://tex.z-dn.net/?f=h%20-%20134.0045%20%5Cleq%20%203.72%5C%5Ch%20%5Cleq%203.71%2B134.0045%5C%5Ch%5Cleq%20137.7245)
If the modulus function is negative then:
![-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\](https://tex.z-dn.net/?f=-%28h%20-%20134.0045%29%20%5Cleq%20%203.72%5C%5C-h%2B134.0045%20%5Cleq%203.72%5C%5C-h%5Cleq%203.72-134.0045%5C%5C-h%5Cleq%20-130.2845%5C%5C)
multiply through by -1
![-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h](https://tex.z-dn.net/?f=-%28-h%29%5Cgeq%20%20-%28-130.2845%29%5C%5Ch%5Cgeq%20130.2845%5C%5C130.2845%5Cleq%20h)
combining the resulting inequalities, the estimate of the possible range of heights will be ![130.2845\leq h\leq 137.7245](https://tex.z-dn.net/?f=130.2845%5Cleq%20h%5Cleq%20137.7245)
Isn't it 1/8?
I hope this helped i think i just simplified xD