Answer:
See the solution
Step-by-step explanation:
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
Answer:
24/121
Step-by-step explanation:
The probability of an event happening is the ratio of the number of possible outcome to the number of total outcome.
The probability of not getting green then green
= rg or bg
Where r is the probability of getting red, g is the probability of green and b is the probability of blue.
= 4/11 * 3/11 + 4/11 * 3/11
= 12/121 + 12/121
= 24/121
The correct answer is the last one.
