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Anna71 [15]
3 years ago
14

Two integers, a and b have a product of 15. what is the least possible sum of a and b?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0
If they're integers, that means they can't be fractions (such as 15/2 and 2).

So the only couples of integers that, when multiplied, result in 15 are:

1 and 15
5 and 3.

(there are no other possibilities as both 5 and 3 are not divisible further).
The smaller of the two sums (15+1; 5+3) is 5+3=8.

The least possible sum of a and b is 8.
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Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the fig
Alex17521 [72]

Answer:

x = 24.99 or 25

Step-by-step explanation:

<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>

sin y = (1/5)

y = 11.54°

90 - 11.54 = 78.46°

<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>

1² + b² = 5²

1 + b² = 25

b² = 24

b = √24

<em>Now we can use tan to figure out the length of segment DC.</em>

tan(78.46) = z/√24

z = 23.99

<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>

1 + 23.99 = 24.99 or <u>about</u> 25.

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3 years ago
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Dmitry [639]
The correct answer for the question is y=x
5 0
3 years ago
How do you multiply 12x12 step by step?
geniusboy [140]

Answer:

144

Step-by-step explanation:

 

 12

X12

------

 

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

 

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 

 12

X  2

-----

 

Begin by multiplying 2 X 2 first, in the "ones" column.

 

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

 

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

 

2 X10=20

 

Place your 2 in the "tens" column--It should look like this...

 

 12

X  2

-----

 24

 

Since you are finished with the "ones" place, now you will work with the tens column.

 

put a zero under the 4 in 24.

 

then continue like this

 

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

 

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

 

If you have a times table, you can check yourself.

 12 X12=144

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