In the largest triangle, the missing side has length
√((11 + 5)² - <em>x</em> ²) = √(256 - <em>x</em> ²)
But it's also the hypotenuse of the triangle with side lengths 11 and <em>y</em>, so that its length can also be written as
√(11² + <em>y</em> ²) = √(121 + <em>y</em> ²)
so that
√(256 - <em>x</em> ²) = √(121 + <em>y</em> ²)
or, by taking the squares of both sides,
256 - <em>x</em> ² = 121 + <em>y</em> ²
<em>y</em> ² = 135 - <em>x</em> ²
In the smallest triangle, you have
5² + <em>y</em> ² = <em>x</em> ² ==> <em>x</em> ² = 25 + <em>y</em> ²
Substitute this into the previous equation and solve for <em>y</em> :
<em>y</em> ² = 135 - (25 + <em>y</em> ²)
<em>y</em> ² = 110 - <em>y</em> ²
2<em>y</em> ² = 110
<em>y</em> ² = 55
<em>y</em> = √55
Answer:
63
Step-by-step explanation:
If x units, then 2x tens
Number is: 2x(10)+x = 21x
Reversing digits:
2x units and x tens,
Number is: x(10)+2x = 12x
21x - 12x = 27
9x = 27
x = 27/9 = 3
Original number: 21x = 21(3) = 63
It will take her 16.5 Weeks...so approximately 17 weeks
2(N - 3) = 24
Expand: 2N - 6 = 24
Solve: 2N = 24 - 6
2N = 18
N = 18 divided by 2
N = 9
Answer: 241 days a year
Step-by-step explanation: 365*0.66=240.9 and then you round up to 241