Answer:
So the correct option is First one
i.e 
Step-by-step explanation:
Given:
Area of Shaded part = 9 π square feet
To Find :
Area of Circle = ?
Solution:
90 degree center angle is equivalent to an area of 9 Π square feet
So, 360 degree center is equivalent to area A which is the area of the complete circle.
So the Ratio will be
Setting the given statements in proportion:
On solving we get the required
So the correct option is First one
i.e
Alternate Method:
Shaded part is of 90°
Area of Shaded part = 9 π square feet
And Full Circle is of 360° that is 4 sector of 90°
So the correct option is First one
i.e
On solving this we get
Answer:
V = -9
Step-by-step explanation:
-15V - 40 = 23 - 8V
The objective is to get V alone. To do this, first subtract -15V from both sides. Since -15V is a negative, subtracting it will be adding a positive.
-40 = 23 + 7V
Now that there is only one term with the variable V, subtract 23 from both sides.
-63 = 7V
Finally, divide both sides by 7 to get V completely isolated.
-9 = V.
The final answer is V = -9.
You can see how this works by thinking through what's going on.
In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97
What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.
So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.
So the population after x years is 1200 * 0.97x
If the point is dilated from the origin by a scale factor of 6
Then the coordinates of point A becomes
A( 6x7 , 6x9)
