Answer:
5
Step-by-step explanation:
First, notice that these two triangles are similar using AA.
Because sides BC and EC are corresponding, you can divide 24 by 8, to determine that the ratio of similitude is 3.
That means that because sides AC and DC are corresponding, 25 - 2x divided by x is 3.
25 - 2x / x = 3
25 - 2x = 3x
25 = 5x
x = 5
x is the same as side CD, so CD = 5.
Answer:
Step-by-step explanation:
Given
(yearly)
(monthly)
Required
Determine the total annual earnings
First, we need to determine the earnings from sales in a year
There are 12 months in a year;
So:
Annual Earnings is then calculated as thus:
Answer:
F. 6π is the correct answer
As the diameter of the 2nd circle is 2x+3, its radius will be (2x+3)/2 which is equal to x + 1.5
But as it is identical to the 1st circle their radii will be equal.
Therefore, 2x = x + 1.5
Therefore, 2x - x = 1.5
Thus we get that x = 1.5
Therefore, r (radius) = 2x = 2*1.5 = 3
Now we can find the circumfrence by the equation circumference = 2πr
Therefore, circumference = 2*π*3 = 6π
Perimeter of semicircle = circumference = π × r = π × 2.5 = 7.85ft
It is the negative reciprocal to the slope of the line it is perpendicular to. For example, if the slope of that line was 3, the negative reciprocal would be -1/3, because if you multiplied them, -1/3 × 3/1, you'd get 3/3 which is 1. If the slope given was -4, the negative reciprocal would be 1/4, the negative reciprocal given of 1/2 would be -2, etc. I hope this helps! Let me know f I've just confused you :)