Cos(angle) = adjacent/hypotenuse
Cos(angle) = 1.5/10
Angle = arccos(1.5/10)
Angle = 81.37 degrees
Although the angle is close, it is over the 80 degrees, so the inspector should be concerned.
we are given
Since, we have to find inverse of this function
step-1: we set f(x)=y
step-2: switch x and y
step-3: Solve for y
now, we can use quadratic formula
or
..............Answer
The price will be $364: take 90% of 400, which is 36. Subtract 36 from 400.
Answer:
The ratio of tables that are booths to the total number of tables = 
Step-by-step explanation:
The number of tables in a restaurant, p = 108
The number of table that are booths, q = 72
Then, the ratio of tables that are booths to the total numbers of tables = 
=
Answer: 2y + 3x = -8.
Step-by-step explanation:
Given our first equation 2x-3y =13, we rewrite in the form of equation of a line, i.e y = mx + c
Where m is the slope of the line and c is the intersection on y axis.
By rewriting, we have...
3y= 2x-13
y= 2x/3 - 13/3.
m= 2/3, c= -13/3.
For two perpendicular lines, the product of their gradients is -1
i.e
m¹ * m² = -1
Hence m² = -1 * 3/2
m² = -3/2.
Hence, to get the equation of the line passing through the point (-6,5) we first find the intersection when x=0 given as
[Y-c]/[x-0] = -3/2
2y - 2c = -3x
2(5) - 2c =- 3(-6)
10-18= 2c
C = -8/2
C= -4
Then the equation is given as
y = mx + c
y = [-3/2]x - 4
2y= -3x - 8
2y + 3x = -8.
