Answer:
13) 8.6
Step-by-step explanation:
To find the side length, use a trig function to solve for x.
You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.
This means Cos 52 = x / 14. Solve for x.
Cos 52 = x / 14
14* Cos 52 = x
8.6 = x
Answer:
(6, 12)
Step-by-step explanation:
{ 3x - y = 6
{ x - 2y = -18
by using elimination:
6x -2y=12
x - 2y= -18
________-
5x = 30
x = 6
y = 18-6 = 12
the solutions = {(6, 12)}
Answer:
1) 16
2a) 100 -a -2b
2bi) (100 -a -2b)/4
2bii) 11
Step-by-step explanation:
1. Put the numbers where the corresponding variables are and do the arithmetic.
(2(1) +3(-2))^2 = (2 -6)^2 = (-4)^2 = 16
__
2. The pieces cut from the wire have the lengths a, b, b. The sum of those lengths is a+b+b = a+2b.
2a. The remaining length is what is left when the total of cut pieces is subtracted from the original amount:
100 -(a+2b) = 100 -a -2b
2bi. The perimeter of the square is the amount in part (2a). A square has 4 sides of the same length, so each side has a length that is 1/4 of the perimeter. The side length is ...
(100 -a -2b)/4 . . . . length of one side of the square
2bii. Fill in the given values for "a" and "b" and do the arithmetic.
(100 -24 -2(16))/4 = (76 -32)/4 = 44/4 = 11 . . . one side of the square
Answer:
0.6065
Step-by-step explanation:
Probability mass function of probability distribution : 
a mean of 0.05 flaw per square foot
Each car contains 10 sq.feet of the plastic roll
Mean = 0.05
Mean = 
We are supposed to find What is the probability that there are no flaws in a given car’s interior i.e,P(X=0)
Substitute the value in the formula
Hence the probability that there are no flaws in a given car’s interior is 0.6065
