Answer:
3.6 is your Answer.
Step-by-step explanation:
To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.
<h3>How to prove that two circles are similar</h3>
Herein we must prove that two circles are similar by taking advantage of two key characteristics: (i) Center, (ii) Radius. Based on such facts, we must apply the following <em>rigid</em> transformation:
- Translating the circle from A to B.
- Enlarging the circle A by a <em>dilation</em> factor.
Step 1 - Traslating the circle from A to B: Translation vector - (- 1, 1).
(x, y) = (2, 3) + (- 1, 1)
(x, y) = (1, 4)
Step 2 - Dilate the circle by a factor of 2.
r = 2 · 5
r = 10
To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.
To learn more on transformation rules: brainly.com/question/9201867
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Distributive Property:
The distributive property tells us how to solve expressions in the form of a(b + c).
In this question we have to find two numbers that add up to give 105,
Now replacing 105 by 100 + 5, rewriting the expression as :
distributing 327 over 100 and 5
here a=327, b =100 and c=5
Answer:
Answer:
5.827%
Step-by-step explanation:
Interest compounded annually, and interest compounded continuously will have the same effective rate if the annual multipliers are the same. For the interest multipliers to be the same, you must have ...
1 +6% = e^r
ln(1.06) = r ≈ 0.0582689 ≈ 5.827%
The competing bank should offer a rate of 5.827% compounded continuously.
