A square playground has a perimeter of 120 yards. what is the length of a diagonal of the playground?
2 answers:
Answer:
The length of the diagonal of the playground is approximately 42.42 yards.
Step-by-step explanation:
As the playground is square we know the formula for its perimeter: , where
stands for the length of the side of the playground. By the statement of the problem we know that
, then it is not difficult to find that
yards.
If we trace the diagonal we see that a right triangle is formed, where the diagonal is its hypotenuse, and its sides are the sides of the playground. Then, using Pythagoras theorem (we denote by the length of the diagonal), we have
.
Thus, the diagonal has (approximately) 42.42 yards.
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Answer: He is not correct.
Steps:
Let x1 and x2 be the first and second number, respectively.
In words, if the second is 125%, or 5/4 of the first number (first equation),
then the first is 4/5 of the second, which is 0.8 or 80%.
Answer:
Step-by-step explanation:
Maximum capacity of the elevator = 2000 pounds
Combined weight of the elevator = 428 pounds
A). Let the possible weights that can be added to the elevator = w pounds
B). Therefore, inequality representing this situation will be,
428 + w < 2000
C). By solving the given inequality,
(428 + w) - 428 < 2000 - 428
w < 1572 pounds
Now we draw this inequality on a number line.
Answer:
Option C - 420
Step-by-step explanation:
Given : Objective function, P, with the given constraints
Constraints,
To find : What is the maximum value
Solution :
First we plot the graph through the given constrains.
As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)
Refer the attached figure.
So, we put all the points in P to, get maximum value.
- Point (0,0)
- Point (0,12)
- Point (2,10)
- Point (4,0)
Therefore, The value is maximum 420 at (0,12)
So, Option C is correct.
