Answer:
10 units
Step-by-step explanation:
Area of the triangle (A') = 1/2bh
A' = 1/2bh............ Equation 1
Where b = base of the triangle, h = height of the triangle
From the diagram,
Given: b = 12.5 unit, h = 4 unit
Substitute into equation 1
A' = 1/2(12.5)(4)
A' = 25 squared unit.
Also,
Area of the rectangle (A) = Lenght(L)×width(w)
A = Lw............ Equation 2
From the question,
If the area of the rectangle is 40% larger than the area of the triangle
Therefore,
A = 1.4A'
A = 1.4(25)
A = 35 squared unit.
Also given: w = 3
= 7/2
Substitute into equation 2
35 = L×7/2
7L = 35×2
7L = 70
L = 70/7
L = 10 units
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
Times the two radicals together
So it's:
8*sqrt 15*5 (find common numbers between 5 and 15 which is 5)
8*sqrt(5^2*3)
8*5 sqrt3
40 sqrt 3
Hope this helped :)
Answer:
1,2,3,5
Step-by-step explanation:
1-Is your job as an IT administrator stressful?
2-What is your biggest source of stress?
3-How has your job impacted your personal life?
5-Have you ever considered switching careers because of on-the-job stress?
Since if he gets the driveway done in 20 minutes he gets 1/20th of the driveway done in 1 minute (if x=20 then x/20=1 by dividing both sides by 20) and if his brother gets 1/12th of the driveway done in one minute, then if t represents the time it takes to shovel the driveway, t/20+t/12=1 driveway shoveled as 1/20+1/12=amount they can do in 1 minute, so t/20+t/12 is how much they can do in t minutes. Multiplying both sides by 20*12=240, we get 12t+20t=32t=240. Dividing both sides by 32, we get 240/32=7.5 minutes to shovel the driveway.
