9514 1404 393
Answer:
√145 ≈ 12.04
Step-by-step explanation:
The length of the space diagonal is the root of the sum of the squares of the prism edge lengths:
d² = a² +b² +c² = 6² +3² +10² = 145
d = √145 ≈ 12.04 . . . inches
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The face diagonal is found using the Pythagorean theorem in the usual way:
f² = a² + b²
The space diagonal is the hypotenuse of the right triangle whose sides are the face diagonal and the remaining edge:
d² = f² +c²
d² = a² +b² +c²
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Here is a diagram.
Answer:
C
Step-by-step explanation:
Calculator did it lol
Answer:
(x - 6)(x + 3)
Step-by-step explanation:
Given
x² - 6x + 3x - 18 ( factor the first/second and third/fourth terms )
= x(x - 6) + 3(x - 6) ← factor out (x - 6) from each term
= (x - 6)(x + 3)
Rewrite it as 5x^2 -20x-3x+12
then (5x^2 -20x)(-3x+12)
then use gcf and u will get the answer in a binomial form
Answer:
D
Step-by-step explanation:
Probability that the die will show an even number
in one rolling is 3/6=0,5 = p
We have formula for repeating rolling
n!/(r!(n-r)!) p^r (1-p)^(n-r)
n = how many times we repeat rolling = 6
r = how many times we want something to happen
(show an even number exactly two times) = 2
15 *(0,5)^2 *(0,5)^4 = 0,234375
