Answer:
The maximum annual variable cost he can have to reach his projection is $1,940
Step-by-step explanation:
Given;
Number of miles drive per year N = 10,000 miles
Total annual Fixed cost F = $3,460
cost per mile(rate) r = $0.54 or less
Total cost = fixed cost + variable cost
Total cost = cost per mile × number of miles
Total cost = r × N = $0.54 × 10,000 = $5,400
Let V represent the total variable cost per year;
F + V ≤ r × N
Substituting the values;
3,460 + V ≤ 5,400
V ≤ 5,400 - 3,460
V ≤ 1,940
The maximum annual variable cost he can have to reach his projection is $1,940
Answer:
41.7feet
Step-by-step explanation:
From the question we are given the following
angle of depression = 50°
Distance of the pole from the base of the feet = 35feet (Adjacent)
Required
height of the school (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 50 = H/35
H = 35tan 50
H = 35(1.1918)
H = 41.7feet
Hence the height of the school is 41.7feet
Answer:
Assuming (6 9) is a fraction I just multipled the coordinates of A,B,C,D by that
Step-by-step explanation:
Example: A coordinates are (-5,-2) so I multiplied -5 by 6/9 which is -10/3, and -2 by 6/9 which is -4/3.
I then plotted (-10/3,-4/3), which would be A'
Do the same for the rest of BCD to find B'C'D'
Answer:
IJ = 6
Step-by-step explanation:
This is a 30-60-90 triangle.
The ratio of the lengths of the sides is:
1 : sqrt(3) : 2
The short leg is the length of the long leg divided by sqrt(3).
The hypotenuse is twice the length of the short leg.
IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3
IJ = 2IK = 2(3) = 6
3 x (2)³ is an expression that's equal to 24 .
