Answer:
The inequality
represents the length of the femur for which the woman had a height greater than 160cm.
Step-by-step explanation:
The given equation is

Where, h is woman's height in centimeters and f is length of the femur in centimeters.
If woman's height is greater than 160cm, then


Substract 60 from both sides.

Divide both sides by 2.5.

Therefore the inequality
represents the lengths of the femur for which the woman had a height greater than 160cm.
I do not think we need to rewrite the first two numbers in the given above because they are already the simplest forms of themselves being whole numbers. However, the third number may be rewritten as 1/2 by dividing both numerator and denominator by 5 and the last one as 2/25 by dividing both numerator and denominator by 4.
Factor out -4
-4(x^3+3x^2-2x-6
Factor out x^2
-4(x^2(x+3)-2x-6)
Factor out -2
-4(x^2(x+3)-2(x+3))
Factor out x+3
-4(x+3)(x^2-2)
Answer:
10/3 hours
Explanation:
If Maria practices 5/6 hours a day, then she practices (5/6)(4) hours in 4 days.
(5/6)(4)=20/6
20/6 can be simplified to 10/3 hours.
I hope this helps!
Answer:
210 m²
Step-by-step explanation:
The area of a rhombus is d₁ * d₂ * 0.5. In other words, the area is its diagonals multiplied together and divided by 2.
Substitute the measures of the diagonal given.
35 * 12 * 0.5 = 210
The area is 210 m²
I hope this helps! Feel free to ask any questions!
Why is (D₁ + D₂)/2 incorrect?
This is a really helpful link:
http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/
https://byjus.com/maths/area-of-rhombus/