Answer:
Step-by-step explanation:
Given: In ΔGHI, =90°, IG = 6.8 feet, and HI = 2.6 feet
To find:
Solution:
Trigonometry defines relationship between the sides and angles of the triangle.
For any angle ,
= side opposite to
/side adjacent to
In ΔGHI,
Put
So,
Therefore,
Two figures are similar if one is the scaled version of the other.
This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.
To be more precise, you only need two steps to prove that every two circles are similar:
Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.
Recapping, we have:
So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.
Answer:
Part A : The required Profit equation :
Part B : 0.303 million radios the profit became 18 million.
Part C : The graph is attached below.
Step-by-step explanation:
Given : The demand function for a type of portable radio is given by the model , where d is measured in dollars and x is measured in millions of units. The production cost is $25.00 per radio.
Note: Given that profit = revenue - costs
Revenue is demand times number sold.
Costs are productions costs per number sold.
To find :
Part A: Write an equation giving profit as a function of x million radios sold.
Solution : Let x be the number of radios.
Revenue is demand times number sold
Let the cost of x number of radios is 25x.
Profit = Revenue - Costs
The required Profit equation :
Part B : The company currently produces 3 million radios and makes a profit of $18,000,000, but would like to scale back production. What lesser number of radios could the company produce to yield the same profit?
Solution : It is shown graphically which is attached in part c
When we scale back production we get that,
When we sold 0.303 million radios the profit became 18 million.
Part C : Give a graph for the profit and label the parts of the graph.
The graph is attached below which shows the profitable radios points.
