For this case we have the following variables:
x: number of hours that it takes Mr. David to complete a job working alone.
y: number of hours it takes Mr. Ludwing to complete a job working alone.
k: number of hours it takes for both of them to do a job working together.
We now write the equation that models the problem.
To do this, we must add the work rate per hour of each and equal to the rate of work per hour of both.
We have then:
Answer:
The algebraic expression that models the problem is:
Answer:
it would cost $13.50 and you saved 1.50
Step-by-step explanation:
the anwenser is 3.5 hope this helped :}
Step-by-step explanation:
30°, 60°, 90° triangle theorem states that:
Lengths of the side opposite to 60° angle is equal to root 3 upon two times of the length of hypotenuse and side opposite to 30° angle is equal to 1 upon two times of the length of hypotenuse.
Mathematically it can be expressed as:
Solution:
<u>Note that:</u>
- Area of trapezoid = Area of triangle + Area of square = 575 m²
- Area of triangle = 32.5 m²
- Area of square = s²
<u>Finding the area of the square:</u>
- 32.5 + Area of square = 575 m²
- => Area of square = 575 - 32.5
- => Area of square = 542.5
- => s² = 542.5
- => s = √542.5 ≈ 23.29
The length of the square is 23.29 meters.
