The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
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If I understand what you are asking, you can use the median as an average since it is not affected by the mean ( median is a measure of center). Since a mean is affected by outliers, it might lower the score if there are very low outliers. But note that if there are outliers way <em>greater </em>it can increase the average. You can use the Inter Quartile Range if shown on a box plot ( measure of variability).
If i'm not wrong its distributing property of addition. <span />
Stupid do 22949949+r4848488) cuh x9x plays th e sum 69 to find the division time one times to
Answer:
$880,000
Step-by-step explanation:
First note that the full meaning of EBIT is earning before interest and tax.
When the company does not have debt, it called unlevered (VU), while a company that has debt is called levered (VL) company. The VU and the VL of the company can be calculated using the VU and VL formula as follows:
Step 1. Calculation of VU
VU = [EBIT × (1 - tax rate)] ÷ cost of equity
= [$100,000 × (1 - 0.20)] ÷ 0.10
= [$100,000 × 0.80] ÷ 0.10
= $80,000 ÷ 0.10
= $800,000
Step 2. Calculation of VL
VL = VBC + (tax rate × conversion rate × VU)
= $800,000 + (0.20 × 0.5 × $800,000)
= $800,00 + $80,000
= $880,000
Therefore, the value of the firm will be $880,000 if it is converted to 50 percent debt.