Answer:
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Step-by-step explanation:
What are u asking
<u>Answer:</u>
The probability of selecting such number =![\frac{90}{9000} = \frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B9000%7D%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
<u>Explanation:</u>
4-digit numbers start from 1000 and ends at 9999
So, there are 9000 4-digit numbers present
There are 90 palindrome numbers (which reads the same forward and backward) present between 1000-9999. They are 1001; 1111; 1221; 1331; ... 1001; 1111; 1221; 1331; ... to 9669; 9779; 9889; 9999; 9669; 9779; 9889; 9999
Therefore, the probability of selecting such number =![\frac{90}{9000} = \frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B9000%7D%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
Answer:
AB = 2.18 units
Step-by-step explanation:
![\tan 52\degree =\frac{AB}{BC} \\ \\ AB = BC \tan 52\degree \\ \\ AB = 1.7 \times 1.2799416322 \\ \\ AB = 1.7 \times 1.2799416322 \\ \\AB = 2.17590077 \\ \\ AB \approx 2.18 \: units](https://tex.z-dn.net/?f=%5Ctan%2052%5Cdegree%20%3D%5Cfrac%7BAB%7D%7BBC%7D%20%20%5C%5C%20%20%5C%5C%20AB%20%3D%20BC%20%5Ctan%2052%5Cdegree%20%5C%5C%20%20%5C%5C%20AB%20%3D%201.7%20%20%5Ctimes%201.2799416322%20%5C%5C%20%20%5C%5C%20AB%20%3D%201.7%20%20%5Ctimes%201.2799416322%20%5C%5C%20%20%5C%5CAB%20%3D%202.17590077%20%5C%5C%20%20%5C%5C%20AB%20%20%5Capprox%202.18%20%5C%3A%20units)
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
It is 45 because angle ABC is 90 degrees and line D splits each side into two equal parts and half of 90 is 45 degrees