Answer:
1) 
2) 
Step-by-step explanation:
The Pythagorean Theorem is:
Where a is the hypotenuse and b and c are the legs.
The missing side lenght is one of the legs, then you must solve for one of them. Therefore, this is:
MEASURE OF ANGLE:
Keep the identities on mind:
Susbstitute values, then:
1 feet is 12 inches so 40 feets is 480 inches
Real locomotive is 480/16=30 times wider then the model
And then a window on the real locomotive is 30 times wider then the model.
D. Because McKenzie ate the least
Answer:
x = 8
Step-by-step explanation:
When cutting the wire we will get two pieces
x and 12 - x
If we build a circle whith x , the lenght of the circle will be x, and if we look at the equation for a lenght of a cicle 2*π*r = x
then r = x/2π
and consequentely A₁ = area of a circle = πr² A₁ = π*x/2π
A₁ = x/2
With the other piece 12 - x we have to make an square so wehave to divide that piece in four equal length
side of the square = s
s = 1/4 ( 12 - x ) and the area is A₂ = [1/4 ( 12 - x)]²
A₂ = ( 12 - x )²/16
Then A₁ + A₂ = A(t) and this area as fuction of x
A (x) = x/2 + 1/16 ( 144 + x² -24x) A (x) =[ (8x + 144 + x² -24x)]/16
Taken derivatives in both sides
A´(x) = 8 + 2x - 24 = 0
2x -16 = 0 x = 8 and s = 12 - 8 s = 4
Answer:
A.) The probability that the missile is not detected by any of n sets = (1-0.9)^n = 0.1^n.
Where it's opposite will be that the missile is detected by atleast 1 of the sets. Which will be equals to 1-(0.1)^n.
B.) 0.999= 1-(0.1)^n
Here n=3
For, 0.999999=1-(0.1)^n
n=6.
C.) If n=5
5C4*(0.9)^4*(0.1)^1= 0.32805
