To find the diagonal of the rectangle we have to use Pythagorean theorem!
Pythagorean theorem is used to find the length of a missing angle such as the hypotenuse or the sides a and b.
Steps to solve:
1. 12 in is the length or the base of the right triangle, and 6 in is the wide or the side a.
2. Now use the formula: a^2+b^2=c^2, and plug in the numbers!
3. 6^2+12^2=c^2, now just solve the squared numbers.
4. 36+144=c^2
5. 180=c^2
6. Find the square root of 180.
And that is you answer!
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The greatest common factor is found by finding the product of common primes.
91=7*13, 104=2*2*2*13 so the gcf of 91 and 104 is 13. Since the highest power of x and y in both terms is 1, the hcf for the variables is just xy
13xy
Y greater than or equal to -7
Answer: For the equation simply substitute 30 in for v and 4 in for s in the equation given, so H=-16t^2+30t+4
Part 2.
If the juggler misses the ball, you wish to know the time that it takes for the ball to travel the four feet from his hand to the ground, so respectively,
4=-16t^2+30t+4 or 0=-16t^2+30t or 0 = -16t+30,
solving for t, t =30/16 seconds or 1.875 seconds
Step-by-step explanation:
