Taking the square root of both sides of the equation, we get:
z = ± √(261.928329640000)
z ≈ ± 16.18
Rounding to the nearest tenth, z ≈ ± 16.2
Round your answer to the nearest tenth
z^2 =261.928329640000
z=?
11 answers
Solve
x^2=121
x=?
x^2=121
x=?
Taking the square root of both sides of the equation, we get:
x = ± √121
x = ± 11
So, x can be either 11 or -11.
x = ± √121
x = ± 11
So, x can be either 11 or -11.
A triangle is drawn and squares are created from the lengths of each side. Square A has an area of 9 units² and square B has an area of 45 units². What must be the area of the 3rd square for triangle to have a right angle?
Let the lengths of the sides of the triangle be a, b, and c, with corresponding squares A, B, and C.
Since square A has an area of 9 units², its side length is √9 = 3 units.
Since square B has an area of 45 units², its side length is √45 units.
To have a right angle in the triangle, according to the Pythagorean Theorem, the squares of the two shorter sides (A and B) should be equal to the square of the longest side (C).
So, we have the equation:
3² + (√45)² = C²
9 + 45 = C²
54 = C²
Taking the square root of both sides, we get:
C = √54 units
C ≈ 7.35 units
The area of square C is equal to the square of its side length.
Area of square C = (side length of C)² = (7.35 units)² ≈ 54 units².
Therefore, the area of the third square (square C) must be approximately 54 units² for the triangle to have a right angle.
Since square A has an area of 9 units², its side length is √9 = 3 units.
Since square B has an area of 45 units², its side length is √45 units.
To have a right angle in the triangle, according to the Pythagorean Theorem, the squares of the two shorter sides (A and B) should be equal to the square of the longest side (C).
So, we have the equation:
3² + (√45)² = C²
9 + 45 = C²
54 = C²
Taking the square root of both sides, we get:
C = √54 units
C ≈ 7.35 units
The area of square C is equal to the square of its side length.
Area of square C = (side length of C)² = (7.35 units)² ≈ 54 units².
Therefore, the area of the third square (square C) must be approximately 54 units² for the triangle to have a right angle.
Is 28 a hypotenuse, leg, or neither?
Without additional information about a triangle or other context, it is not possible to determine whether 28 is a hypotenuse, leg, or neither. These terms refer to the sides of a right triangle in relation to the angle being considered.
Match the lengths of the sides of a right triangle with the proper term. 28, is it hypotenuse, leg, or neither?
In a right triangle, the hypotenuse is the side opposite the right angle, while the legs are the two sides that form the right angle.
Since we do not know the specific lengths of the sides of the triangle in question, we cannot determine if 28 is the hypotenuse, a leg, or neither without additional information.
Since we do not know the specific lengths of the sides of the triangle in question, we cannot determine if 28 is the hypotenuse, a leg, or neither without additional information.
Find the value of x if A=3x, B=1x+7 and C=1x+8
x=?
x=?
To find the value of x, we need to set up an equation using the given expressions for A, B, and C.
We are given:
A = 3x
B = 1x + 7
C = 1x + 8
We can set up the equation by adding the lengths of the sides of the triangle:
A + B + C = 180
Plugging in the given expressions, we have:
3x + (1x + 7) + (1x + 8) = 180
Combining like terms, we get:
5x + 15 = 180
Subtracting 15 from both sides, we have:
5x = 165
Finally, dividing both sides by 5, we find the value of x:
x = 33
Therefore, x is equal to 33.
We are given:
A = 3x
B = 1x + 7
C = 1x + 8
We can set up the equation by adding the lengths of the sides of the triangle:
A + B + C = 180
Plugging in the given expressions, we have:
3x + (1x + 7) + (1x + 8) = 180
Combining like terms, we get:
5x + 15 = 180
Subtracting 15 from both sides, we have:
5x = 165
Finally, dividing both sides by 5, we find the value of x:
x = 33
Therefore, x is equal to 33.