For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a
BC is the short leg of ∆ABC
Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3
For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3
CD = a = √3
AD = a√3 = 3
For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1
DB = a = 1
Answer:
1st box: (-5,-2)
2nd box: up and down
3rd box: 8
4th box: +-4/3
5th box: y+2 = +-4/3 (x+ 5)
Step-by-step explanation:
Just took the k12 unit test, hope this helps!
1. constructing a house
2. building a car
3. laying pipe our conduit, especially with bends
4. packing boxes on a truck
5. painting, gotta know area
6. filing a swimming pool, gotta know volume
Answer:
The maximum profit can be attained when 4 bikes are produced each day.
Step-by-step explanation:
Look at the attached picture:
In the table given in the picture, the number of bikes produces varies. We cannot properly compare the profits per day. To be consistent, let us determine the profit per unit of bike produced.The relationship between cost, revenue and profit can be as:
Profit = Revenue - Cost
To find the profit per unit of bike, simply divide the profit with the number of bikes produced (1st column). After you see the results, we can see that the highest profit is $17.5 per unit of bike produced. Therefore, the maximum profit can be attained when 4 bikes are produced each day.