Answer:
Step-by-step explanation:
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7.5 km/h
Step-by-step explanation:
Let's assign the speed of Jerry in still air as <em>x </em> (in km/h)
Let's assign the speed of the wind as <em>y </em>(in km/h)
With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (<em>we are converting the minutes to hours by dividing by 60</em>);
2.5 / (x + y) = 10/60
10x + 10y = 150
x + y = 15
With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;
2.5 / (x-y) = 15/60
15x – 15y = 150
x – y = 10
We can now solve the simultaneous equation by subtraction;
x + y = 15
x – y = 10
2y = 5
y = 5/2 = 2.5
y = 2.5 km/h
x = 7.5 km/h
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Since there are already choices in the question, I suggest you just substitute in the values of x to each choice and check whether the corresponding value for y appears. This is also called the trial and error method in multiple choice.
The answer that represents the data in the table is C. <span>y = x^2 – 5.</span>
Answer:
Part 1) Greta's right, the triangle is incorrect.
Part 2) 
Part 3) The height of the tree is 
, Trey’s house is not at risk
Step-by-step explanation:
Part 1) we know that
In the right triangle of the figure
Compare
therefore
The triangle is not correct
Because
The side adjacent to the 30 degree angle should be 
and the side opposite the 30 degree angle should be 
Part 2)
Let
x--------> the distance from the airplane to the SCCA (hypotenuse of the right triangle)
we know that
Part 3)
Let
x--------> the height of the tree
we know that
therefore
Trey’s house is not at risk
