Answer:
Length = 49.5 unit and width = 49.5 unit
Step-by-step explanation:
Given as , Perimeter of rectangle = 198 unit
so ,as Perimeter of rectangle = 2× ( Length + width)
Or, 198 = 2 × (Length + width)
Or,
= length + width
So, length + width = 99 unit
Now to make area maximum
Length × width = maximum
Or, (99 - width ) × width = maximum
99 Width - width² = maximum Let width = W
Now differentiate both side with respect to W
D(99W - W²)
= 0 as, constant diff is 0
So, 99 - 2w = 0
Or, w = 
Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer
Answer: the answer is “B”
Step-by-step explanation: answer is LETTER B
We have been given that Layana’s house is located at
on a map. The store where she works is located at
.
We are asked to find the distance from Layana’s home to the store
We will use distance formula to solve our given problem.
Let us convert our given coordinates in improper fractions.



Now we will use distance formula to solve our given problem.

Upon substituting coordinates of our given point in above formula, we will get:






Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.
Answer:

Step-by-step explanation:
The depth function is:

After 3 minutes, a submarine had descended to −320 feet.
This means that
. So


After 8 minutes, the submarine had descended to −420 feet.
This means that
. So


From the first equation:

So





And

So

Answer:
60 degrees
Step-by-step explanation:
Similar shapes have the same angles but different side lengths.