The lengths of the legs of a right triangle are 6 and 10. What is the length of the hypotenuse to the nearest tenth?

h ≈ 11.7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse (h) is equal to the sum of the squares on the other 2 sides, that is

h² = 6² + 10² = 36 + 100 = 136 ( take the square root of both sides )

h = ≈ 11.7 ( to the nearest tenth )

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8  

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560