Answer:
Step-by-step explanation:
The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.
<em>the number of students</em> is fewer than 18
translates to ...
n < 18
__
The wording "at least" translates to the math symbol "greater than or equal to."
<em>the number of students</em> is at least 15
translates to ...
n ≥ 15
Okay so first you have to factor out anything they have in common and you can take out a x and 4
so then it turns into 4x(x-5)
Get rid of the 2 in the denominator by multiplying it by 2. Then add 36 to both sides. Then your answer is 92.
Answer:
![y = 6 \sqrt{2}](https://tex.z-dn.net/?f=y%20%3D%206%20%5Csqrt%7B2%7D%20)
Step-by-step explanation:
if the measures both the acute angles of a right angled triangle are equal ( 45° ), then the two smaller sides are equal.
so, x = 6
now, by pythagorus theorem :
=》
![y {}^{2} = x {}^{2} + 6 {}^{2}](https://tex.z-dn.net/?f=y%20%7B%7D%5E%7B2%7D%20%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%206%20%7B%7D%5E%7B2%7D%20)
=》
![y {}^{2} = 6 {}^{2} + 6 {}^{2}](https://tex.z-dn.net/?f=y%20%7B%7D%5E%7B2%7D%20%20%3D%206%20%7B%7D%5E%7B2%7D%20%20%2B%206%20%7B%7D%5E%7B2%7D%20)
( because x = 6 )
=》
![{y}^{2} = 2 \times 6 \times 6](https://tex.z-dn.net/?f=%20%7By%7D%5E%7B2%7D%20%20%3D%202%20%5Ctimes%206%20%5Ctimes%206)
=》
![y = \sqrt{2 \times 6 \times 6}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%7B2%20%5Ctimes%206%20%5Ctimes%206%7D%20)
=》
![y = 6 \sqrt{2}](https://tex.z-dn.net/?f=y%20%3D%206%20%5Csqrt%7B2%7D%20)