A 45-45 90 triangle has two lengths that are equal, and the hypotenuse is √2 times those lengths.
Therefore:
Let x = the length of a leg (doesn't matter which one, they are equal)
√2 * x = 24 Divide both sides by √2
x = 24 / √2
To get the radical out of the denominator, multiply the right side by √2/√2
x = 24√2 / 2
x = 12√2 Answer is B
66 inches just multiply 5 by 12 the add the 6
Answer:
5.7 meters
Step-by-step explanation:
Image a rectangle being cut diagonally in half, that would lead to two triangles. We can use the pythagorean theorem to find the missing side.
7 is the hypotenuse and 4 is the side length
4^2+x^2=7^2
16+x^2=49
sqrx=sqr(49-16)
x=sqr33
x=5.74
Rounded to the nearest tenth is 5.7
Answer:
Step-by-step explanation:
I think this is it but you question want super clear
A = C/2r
Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
