For a positive angle, the rotation from the initial side to the terminal side takes place in an anticlockwise direction and for a negative angle, the rotation takes place in a clockwise direction is the correct answer.
In this question,
An angle is formed when two straight lines or rays meet at a common endpoint. The measure of the 'opening' between these two rays is called an 'angle'. The common point of contact is called the vertex of an angle.
When measuring the angle, one arm is fixed as the base while the other moves clockwise or counterclockwise to form an angle between the two. Rotation is measured from the initial side to the terminal side of the angle.
The amount of rotation of a ray from its initial position to final position in anticlockwise direction is called positive angle. An angle generated in a clockwise direction from the base is a negative angle.
Hence we can conclude that for a positive angle, the rotation from the initial side to the terminal side takes place in an anticlockwise direction and for a negative angle, the rotation takes place in a clockwise direction is the correct answer.
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Given that the number of bridges has been modeled by the function:
<span>y=149(x+1.5)^2+489,505
To find the year in which, y=505000 we shall proceed as follows:
From:
</span>y=149(x+1.5)^2+489,505
substituting y=505000 we shall have:
505000=149(x+1.5)^2+489,505
simplifying the above we get:
0=149(x+1.5)^2-15495
expanding the above we get:
0=149x^2+447x+335.25-15495
simplifying
0=149x^2+447x-15159.8
solving the quadratic equation by quadratic formula we get:
x~8.69771 or x~-11.6977
hence we take positve number:
x~8.69771~8.7 years~9 years
thus the year in which the number will be 505000 will be:
2000+9=2009
For this case we have the following relationship:
Total cost = (Unit Cost) * (Number of meters)
Therefore, substituting values in the given equation we have:
Total cost = (10.69) * (0.70)
Total cost = $ 7,483
This means that Sid will spend $ 7,483 to do the work.
Answer:
Sid will spend about $ 7,483.
The price of the tablet before the discount is $ 2667
<h3><u>Solution:</u></h3>
Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount
To find: The price of the tablet before the discount
Let "a" be the price of the tablet before the discount or original price
After receiving a 25 percent discount means 25 percent discount in original price
Discount = 25 % of original price
Discount = 25 % of "a"
Now we can say that,
<em>price of tablet after discount = price of the tablet before the discount - discount</em>
2000 = a - 0.25a
0.75a = 2000
a = 2666.67 ≈ 2667
Thus the price of the tablet before the discount is $ 2667
