0. We have 4/6, 36/8, and 12/18
1. Simplify the fractions: 2/3, 9/2, 2/3
2. Order them: 4/6 and 12/18, 36/8
Answer:
The height of the tree is 16.67 feet.
Step-by-step explanation:
Refering the figure, let the height be "x" feet.
It is evident that triangles ABC and triangle EDC are similar.
(as both man and tree are perpendicular to the ground)
thus, 
hence,

Thus,
.
Answer:
Step-by-step explanation:
In the first part the given polynomial is
, we have to divide this polynomial by (x-1) using synthetic division.
Here are the steps of synthetic division
Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.
Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
Step 3: Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. Here, a is 1(taken from divisor)
Step 4: Add the column made in step 3. Repeat these steps until the last column reached.
In the second part,
It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.
In the third part,
Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.
As explained the steps of synthetic division in first part
x-3=0 ⇒ x=3 which is a
In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.
As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
The columns which is formed by above steps are added.
Answer:
Step-by-step explanation:
Step one:
Given data for Heather's company
Fixed cost = $5000
Additional cost = $250
in a week there are 168 hours
hence they will produce a total of 168/5= 33.6
=34 systems
the expression for the total cost can be modeled as
c=mn+f
where c=total cost
m= the Additional cost
n= number of systems produced per hour
h= the number of systems produced per hour
f= fixed cost
Step two:
c=mn+f
given that n=34, we can find the total cost as
c=250(34)+5000
c=8500+5000
c=13500
the total cost for each week is $13,500
48/4 would be the total number of points divided by the amount of games in which those points are scored.