Answer:
(-1.5,-16)
(1,4)
(2.5,-3)
Step-by-step explanation:
Over the interval (-3,0], the local minimum is (-1.5,-16).
Over the interval [0,3], the local maximum is (1,4).
Over the interval [0,57 , the local minimum is (2.5,-3).
Solving the triangle requires solving all of the dimensions involve in the polygon given. We are given an angle, and two of the sides of the triangle. We can solve the third side by using the law of cosines.
b² = a²+c²-2accos(B)
b² = 38² + 18² - 2(38)(18)cos(36)
b = 25.7
We use the law of sines to solve for the angles.
a/sinA = b/sinB
38/sinA = 25.7/sin36
A = 60.4°
C = 180 - 36 - 60.4 = 83.6°
Answer:
It will take the apprentice 24 days working alone
Step-by-step explanation:
Let the number of days it takes the apprentice be x
It will take the landscaper x/3 ( since he is three times faster)
The rate for both will be 60/6 = 10 sq m per day
Rate for apprentice is 60/x
rate for the boss is 60/x/3 = 180/x
Adding the rates together;
60/x + 180/x = 10
240/x = 10
240 = 10x
x = 240/10
x = 24 days
Answer:
Each oven is discounted by $20.
Step-by-step explanation:
Original price of oven in dollars = 
To find total cost for 9 such ovens without discount we will apply unitary method.
If 1 oven costs in dollars =
Then 9 ovens will cost in dollars = 
The ovens are purchased by a restaurant supplier at some discounted price.
The new price after discount in dollars = 
We see that the total cost of 9 ovens which was originally 
has been decreased to 
after discount.
The decrease amount is the discount amount on 9 ovens which is = $180
To find discount offered on each oven, we will again use unitary method.
Discount on 9 ovens = $180
∴ Discount on 1 oven = 
∴ Each oven is discounted by $20.
