Joan is building a sandbox in the shape of a regular pentagon.The perimeter of the pentagon is 35y^4-65x^3 inches.Whaf is the le
2 answers:
Answer:
The length of one side of sandbox is .
Step-by-step explanation:
Given:
Perimeter of Pentagon =
We need to length of one side of sand box.
Solution:
Now it has been given that sand box is in the shape of regular pentagon.
The length of all side of regular pentagon are equal.
Let the length of side of the sandbox be 's'.
Now we know that;
Perimeter of regular pentagon is equal to five times its side length.
so equation can be framed as;
Now taking 5 common on the right side we get;
Dividing both side by 5 we get;
Hence The length of one side of sandbox is .
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Answer:
41 years old.
Step-by-step explanation:
Let x represent age of younger child.
We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be .
The sum of the squares of their ages is 97. We can represent this information in an equation as:
Let us solve for x.
Divide both sides by 2:
Since age cannot be negative, therefore, age of younger child is 4 years.
Age of older child would be
Therefore, the age of older child would be 9 years.
We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.
Square of 4:
Square of 9: .
Square of mother's age:
To find mother's age, we need to take positive square root of 1681 as:
Therefore, the mother is 41 years old.