First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
The exterior angles need to equal 360 degrees.
You have 70 + 65 + 75 = 210
So 2x + 3x need to equal 360 - 210 = 150
5x = 150
x = 150 /5 = 30
2x = 2 *30 = 60
3x = x *30 = 90
An interior angle and an exterior angle need to equal 180 degrees.
The largest interior angle would need to correspond with the smallest exterior angle.
The smallest exterior angle is 2x which equals 60 degrees.
The largest interior angle would be 180 - 60 = 120 degrees.
Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
<u>Let's factorize the numerator and denominator:</u>
- 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
- x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)
<u>We have same factor of x + 6:</u>
- x + 6 = 0
- x = - 6 is a hole
Answer:
Predicted population of Mexico City in year 2010 = 38386000
Step-by-step explanation:
Formula to be used for the population of Mexico,
P = 20.899
Where t = Duration after year 1991
P = Final population
Number of years between 2010 and 1991 = 19 years
Predicted population of Mexico city after 2010 = 20.899
= 20.899 × (1.8368)
= 38.38633 million
= 38.386 million
Therefore, predicted population of Mexico City in year 2010 = 38386000
Answer is C
Because 2 is your Y intercept and -1/2 means your going to move down 1 then move 2 to the right
