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
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First we need the whole garden:
16 x 5 = 80
Now we need to fountain:
5 x 9 = 45
Now to find our answer:
80 - 45 = 35
So our answer is B. 35ft²
Answer:
$61,500
Step-by-step explanation:
For this problem, we will simply take her hourly wage and multiply that by the hours she worked and take her additional earnings for each loan processed and multiply that by the number of loans she processed.
Consider her hourly wage of $15 per hour. If she worked 2000 hours, then we can say she got paid ($15 * 2000) = $30000 for her work that year.
Consider her processing fee of $35 per loan processed. If she processed 900 loans, then we can say she got paid ($35 * 900) = $31500 for her processed loans that year.
Then, to find her yearly total earnings, we simply add those two values. $30000 + $31500 = $61500.
Thus the loan officer made $61500 that year.
Cheers.
I would say 6 bc it’s a die of 6 and u get it 6 times
The length of the bridge is the distance from the beginning to the end.
<em>The distance b between each beam is 9ft.</em>
Let:
<em />
<em> I-Beam</em>
<em />
<em> distance between I beam and the bridge</em>
<em />
<em> distance between each I beam</em>
<em />
Given that:


<em />
<em> --- length of the bridge</em>
<em />
From the diagram (see attachment), there are: 6 I-beams.
So, the length of the 6 I-beams is:




There are 2 I-beams beside the bridge
So, the distance between the 2 I-beams and the bridge is:



There are 5 spaces between the I-beams
So, the length of the total spaces is:


The total length is:

So, we have:

Collect like terms


Convert inches to feet



Divide both sides by 5

<em>Hence, the distance (b) between each beam is 9ft.</em>
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