Answers:
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Explanation:
7+6 = 13. Divide this over 5 to get 13/5 = 2 remainder 3. The quotient 2 is something we don't care about. <u>We only worry about the remainder</u>. Therefore 7+6 = 3 (mod 5)
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2+1 = 3 (mod 5) for similar reasoning as above. 3/5 = 0 remainder 3.
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20 = 9 (mod 11) since 20/11 = 1 remainder 9. Imagine you had 20 cookies and 11 friends. Each friend would get 1 whole cookie (quotient) and there could be 9 left over (remainder).
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35/11 = 3 remainder 2
Or you could use repeated subtraction like so to find the remainder
35-11 = 24
24-11 = 13
13-11 = 2
The last result (2) is smaller than 11, so we stop here and this is the remainder.
Therefore, 35 = 2 (mod 11)
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Here's another way to think of it. Consider you have $35 in your pocket. Let's say a store is selling trinkets for $11 each. We can pose these key questions:
- What is the most number of trinkets you can buy?
- If you buy that max amount, how much will you have left over?
The answer to the first question is 3 trinkets because 3*11 = 33 dollars is under the budget of $35. The amount left over is 35-33 = 2 dollars which is the remainder. It's not larger than 11, so we cannot buy any more trinkets at this point.
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
base²+altitude² = hypotenuse²
x² + 14² = 40²
x² + 196 = 1600
x² = 1600 - 196
x² = 1404
x = √1404
x = 37.47 ft
3.) A *the first one*
4.) C *the last one*
Answer:
Step-by-step explanation:
Hi there!
Equation of a circle: 
where the circle is centered at (h,k) and the radius is r
<u>1) Plug in the given center (7,0)</u>
<u>2) Plug in the radius (1)</u>
I hope this helps!
