An Isosceles triangle, with the base 48 cm, height 32 cm. What is the length of the two equal sides? (In cm).

The length of each side is 40 cm

Step-by-step explanation:

Divide the base in half

48/2 = 24

Then use the Pythagorean theorem

a^2 + b^2 = c^2 with the 1/2 base and the height as the legs

24^2 + 32^2 = c^2

576+1024 = c^2

1600 = c^2

Take the square root

sqrt(1600) = sqrt(c^2)

40 = c

The length of each side is 40 cm

40 cm

Step-by-step explanation:

Side²= (Base/2)²+height²= (48/2)²+32²= 1600

Side= √1600= 40 cm

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