Answer:
Step-by-step explanation:
A square enclosure would have all sides of equal length. Thus, a perimeter of 16 feet would have 4 sides (16/4) or 4 feet in length. The diagonal would form a right triangle with two sides of 4 feet each.
The diagonal, the hypotenuse, is determined by:
4^2 + 4^2 = x^2
32 = x^2
x = 5.6569 feet
The length of the diagonal of the square enclosure is approximately 5.7 feet.
The perimeter of a square is the sum of all its sides. In this case, the square enclosure has a perimeter of 16 feet. Since all the sides of a square are equal in length, we can divide the perimeter by 4 to find the length of one side.
The length of one side of the square is 16/4 = 4 feet.
To find the length of the diagonal of a square, we can use the Pythagorean theorem. The diagonal, the side, and the side form a right triangle, where the diagonal is the hypotenuse. The formula for the length of the diagonal is d = sqrt(2)s, where s is the length of one side of the square.
Substituting the value for s, we have d = sqrt(2) * 4.
Calculating this using a calculator, we get d ≈ 5.7 feet.
#SPJ3
Answer:
Step-by-step explanation:
Given
Required
The weighted average
To do this, we simply multiply each score by the corresponding worth.
i.e.
So, we have:
Using a calculator, we have:
--- approximated
Answer:
The answer is 2
Step-by-step explanation:
Use a calculator.
Answer:
It may look simple to the owner because he is not the one losing a job. For the three machinists it represents a major event with major consequences
The sequence 2, 8, 32, 128, . . . is geometric.
The sequence 5, 10, 15, 20, . . . is geometric.
The sequence 3, 18, 108, 648, . . . is geometric.
Answer:
1,2,3,5
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
because of the line test
Answer:
a) The standard form of is , b).
Step-by-step explanation:
a) The standard form of the complex number is , . If we get that , whose standard form is obtained by algebraic means:
1) Given
2) Distributive and Associative properties.
3) Multiplication/Result.
The standard form of is .
b) The De Moivre's Theorem states that:
Where:
and .
If we know that , then:
The resulting expression is:
Therefore, .