Answer:
On his day off, Lee took a trip to the zoo. He drove an average speed of 65 mph, and it took him two-and-a-half hours to get from his house to the zoo.
Step-by-step explanation:
The system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
The parameters needed to model the inequalities;
- amount made by Opal working for a photographer = $15 per hour
- amount made in the soccer team = $10 per hour
- minimum amount Opal needs to make a week = $90
- maximum number of hours Opal needs to work = 20 hours
Let the number of hours Opal works for a photographer = x
Let the number of hours Opal works in soccer team = y
The first system of inequality in the given situation is represented as;
x + y ≤ 20
The second system of inequality in the given situation is represented as;
15x + 10y ≥ 90
Thus, the system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
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Answer:
52.1% percent using principal multiply by rate divided by 100
We will be using the cosine function to figure this out.
The ramp, ground, and platform form a right triangle.
The hypotenuse is 29, and the side adjacent to ∠x is 20.
SO:
Cos ∠x = 20/29
Cos ∠x = 0.68965517241379
Use the function on your calculator to find what angle has a Cos of 0.6896551
Cos 0.6896551 = 46.397°
ANSWER: the angle of elevation is 46.4°
Hope this helps! God bless. :)