B. $4,600. If he has to pay the first and last months rent you add the $1800 for 2 months getting you $3,600 and then add in $1,000 for security deposit so it creates a total of $4,600
We have a right triangle.
Then:
A+B+C=90
Data:
C=90º
A=53º
Therefore:
53º+B+90º=180º
B=180º-53º-90º
B=37º
Answer: B=37º
To check:
Cos 37º=0.79863551...≈0.7986
X = the number of humans and y = the number of horses.
x+y=74
2x+4y=196
Because the number of humans and horses together is 74, and the total number of legs (2 per every human, x, and 4 per every horse, y) is 196. Then, just use elimination to solve.
So, now that you have y, you can plug it into the first equation to find x:
So, x = 50 and y = 24, so there are 50 humans and 24 horses.
The correct answer is B.
Answer:
The y-coordinate of the point is approximately 2.42.
Step-by-step explanation:
From the figure attached below the statement we derive the following equation to calculate the y-coordinate (
), dimensionless, of the point in terms of the x-coordinate (
), dimensionless, and angle of the line (
), measured in sexagesimal degrees:
(1)
If we know that 
and 
, then the y-coordinate of the point is:
The y-coordinate of the point is approximately 2.42.
Answer:
Step-by-step explanation:
P(D/M₁) = .04 ( probability of defect from a 1 st machine )
P(D/M₂) = .06
P(D/M₃) = .01
P( M₁ )= .3 ( probability of manufacture from 1 st machine )
P(M₂) = .2
P(M₃)= .5
P( M₁/D) ( Probability of manufacture from 1 st machine , given it is defective )
= P( M₁ )xP(D/M₁) / [P( M₁ )xP(D/M₁) +P( M₂ )xP(D/M₂)+P( M₃ )xP(D/M₃)]
= .3 x .06 / .3 x .06 + .2 x .06 + .5 x .01
= .018 / .035
= 18/35
