Answer:
Step-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
_____
If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
Answer:
15,000 people
Step-by-step explanation:
This is the question of ratio, it is the quantitative relationship of two number.
In this survey a ratio of 66 people out of 110 is defined as living in apartment, based on this ratio we can estimate the total numbers of people living in apartments.
Total population of the town = 25,000 people
Ratio of people living in apartment = 66 / 110 = 0.6
Town people living in apartment = 25,000 x 0.6 = 15,000 peoples
Answer:15
Step-by-step explanation:
Answer:
<h2>x = 48°</h2>
Step-by-step explanation:
<h3>108° + 24° + x° = 180°</h3><h3>132° + x° = 180°</h3><h3>x° = 180° - 132°</h3><h2>x= 48°</h2>
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Answer:
1/18
Step-by-step explanation:
Just go to calculator and write -9÷54-(-12÷54)
