142.8
it fizzes up and shoots out
88
Answer:
D
Step-by-step explanation:
Say the short leg is x and the hypotenuse is y. Then, y = 3x (because "The length of the hypotenuse of a right triangle is three times the length of the shorter leg.")
Use the Pythagorean Theorem: a^2 + b^2 = c^2 (where a and b are the legs and c is the hypotenuse). Here, we can say a = x and b = 12 and c = y. So:
x^2 + 12^2 = y^2
x^2 + 144 = (3x)^2
x^2 + 144 = 9x^2
8x^2 = 144
x^2 = 18
x = 
The answer is D.
Hope this helps!
Factoring x2-14x+11
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +11
Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -14 .
-11 + -1 = -12 -1 + -11 = -12 1 + 11 = 12 11 + 1 = 12
Observation : No two such factors can be found
Answer:
Step-by-step explanation:
Given that there are two machines available for cutting corks intended for use in wine bottles.
X1 = diameter of I machine and X2 = diameter of II machine
X1 is N(3.04, 0.02) and X2 is N(2.9, 3.1)
Acceptable is mean =3 and std dev = 0.1
a) 
b) 
Both are certain events.